List of parameters for print.in

This page lists 3051 variables distributed into 93 files. Of these:

• 2719 (90%) are documented;

• 332 (10%) are undocumented.

Some of the variable names are shared amongst modules, so there are 1703 unique names:

• 912 variables appear 1 time;

• 373 variables appear 2 times;

• 312 variables appear 3 times;

• 79 variables appear 4 times;

• 21 variables appear 5 times;

• 6 variables appear 6 times.

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Module bfield.f90

Variable	Meaning
bmax	\(\max B\)
bmin	\(\min B\)
brms	\(\langle B^2\rangle^{1/2}\)
bm	\(\langle B\rangle\)
b2m	\(\langle B^2\rangle\)
bxmax	\(\max|B_x|\)
bymax	\(\max|B_y|\)
bzmax	\(\max|B_z|\)
bxm	\(\langle B_x\rangle\)
bym	\(\langle B_y\rangle\)
bzm	\(\langle B_z\rangle\)
bx2m	\(\langle B_x^2\rangle\)
by2m	\(\langle B_y^2\rangle\)
bz2m	\(\langle B_z^2\rangle\)
bxbym	\(\langle B_x B_y\rangle\)
bxbzm	\(\langle B_x B_z\rangle\)
bybzm	\(\langle B_y B_z\rangle\)
dbxmax	\(\max|B_x - B_{\mathrm{ext,}x}|\)
dbymax	\(\max|B_y - B_{\mathrm{ext,}y}|\)
dbzmax	\(\max|B_z - B_{\mathrm{ext,}z}|\)
dbxm	\(\langle B_x - B_{\mathrm{ext,}x}\rangle\)
dbym	\(\langle B_y - B_{\mathrm{ext,}y}\rangle\)
dbzm	\(\langle B_z - B_{\mathrm{ext,}z}\rangle\)
dbx2m	\(\langle\left(B_x - B_{\mathrm{ext,}x}\right)^2\rangle\)
dby2m	\(\langle\left(B_y - B_{\mathrm{ext,}y}\right)^2\rangle\)
dbz2m	\(\langle\left(B_z - B_{\mathrm{ext,}z}\right)^2\rangle\)
jmax	\(\max J\)
jmin	\(\min J\)
jrms	\(\langle J^2\rangle^{1/2}\)
jm	\(\langle J\rangle\)
j2m	\(\langle J^2\rangle\)
jxmax	\(\max|J_x|\)
jymax	\(\max|J_y|\)
jzmax	\(\max|J_z|\)
jxm	\(\langle J_x\rangle\)
jym	\(\langle J_y\rangle\)
jzm	\(\langle J_z\rangle\)
jx2m	\(\langle J_x^2\rangle\)
jy2m	\(\langle J_y^2\rangle\)
jz2m	\(\langle J_z^2\rangle\)
divbmax	\(\max|\nabla\cdot\vec{B}|\)
divbrms	\(\langle\left(\nabla\cdot\vec{B}\right)^2\rangle^{1/2}\)
betamax	\(\max\beta\)
betamin	\(\min\beta\)
betam	\(\langle\beta\rangle\)
vAmax	\(\max v_A\)
vAmin	\(\min v_A\)
vAm	\(\langle v_A\rangle\)

Module cdata.f90

Variable	Meaning
it	number of time step \(\quad\) (since beginning of job only)
t	time \(t\) \(\quad\) (since start.csh)
dt	time step \(\delta t\)
walltime	wall clock time since start of run.x, in seconds
timeperstep
dtv	advective timestep as a fraction of the actual one
dtdiffus	diffusive timestep as a fraction of the actual one
dtdiffus2	hyperdiffusive (hyper2) timestep as a fraction of the actual one
dtdiffus3	hyperdiffusive (hyper3) timestep as a fraction of the actual one
Rmesh	\(R_{\mathrm mesh}\)
Rmesh3	\(R_{\mathrm mesh}^{(3)}\)
maxadvec	maxadvec
eps_rkf	time step accuracy threshold

Module chemistry.f90

Variable	Meaning
Ym	\(\left<Y_x\right>\)
rhoYm	\(\left<\rho Y_x\right>\)
TYm	\(\left<Y_{\mathrm thresh}-Y_x\right>\)
dYm	\(\delta\left<Y_x\right>/\delta t\)
dYmax	\(max\delta\left<Y_x\right>/\delta t\)
Ymax	\(\left<Y_{x,max}\right>\)
Ymin	\(\left<Y_{x,min}\right>\)
hm	\(\left<H_{x,max}\right>\)
cpm	\(\left<c_{p,x}\right>\)
diffm	\(\left<D_{x}\right>\)
diffmax	\(\left<D_{x,max}\right>\)
diffmin	\(\left<D_{x,min}\right>\)
Ymz	\(\left<Y_x\right>_{xy}(z)\)
dtchem	\(dt_{chem}\)
nuclrmin	\(\left< r_{\min} \right>\)
nuclrate	\(\left< J \right>\)

Module chemistry_simple.f90

Variable	Meaning
Ym	\(\left<Y_x\right>\)
dYm	\(\delta\left<Y_x\right>/\delta t\)
dYmax	\(max\delta\left<Y_x\right>/\delta t\)
Ymax	\(\left<Y_{x,max}\right>\)
Ymin	\(\left<Y_{x,min}\right>\)
hm	\(\left<H_{x,max}\right>\)
cpm	\(\left<c_{p,x}\right>\)
diffm	\(\left<D_{x}\right>\)
Ymz	\(\left<Y_x\right>_{xy}(z)\)
dtchem	\(dt_{chem}\)

Module density.f90

Variable	Meaning
rhom	\(\left<\varrho\right>\) \(\quad\) (mean density)
rhomxmask	\(\left<\varrho\right>\) for the density_xaver_range
rhomzmask	\(\left<\varrho\right>\) for the density_zaver_range
rho2m	\(\left<\varrho^2\right>\)
rho4m	\(\left<\varrho^4\right>\)
rho6m	\(\left<\varrho^6\right>\)
rho8m	\(\left<\varrho^8\right>\)
rho12m	\(\left<\varrho^{12}\right>\)
rhof2m	\(\left<\varrho'^2\right>\)
lnrho2m
drho2m	\(<(\varrho-\varrho_0)^2>\)
drhom	\(<\varrho-\varrho_0>\)
rhomin	\(\min(\rho)\)
rhomax	\(\max(\rho)\)
rhominloc	\(location of \min(\rho)\)
rhomaxloc	\(location of \max(\rho)\)
lnrhomin	\(\min(\log\rho)\)
lnrhomax	\(\max(\log\rho)\)
rhorms	\(\sqrt{<\varrho^2>}\)
lnrhorms	\(\sqrt{<(\ln\varrho)^2>}\)
ugrhom	\(\left<\uv\cdot\nabla\varrho\right>\)
uglnrhom	\(\left<\uv\cdot\nabla\ln\varrho\right>\)
dtd
dtd3
rhomr
totmass	\(\int\varrho\,dV\)
mass	\(\int\varrho\,dV\)
sphmass	\(\int\varrho\,dV\) inside \(r < r_{\mathrm diag}\) .
inertiaxx	\(xx\) component of the inertia tensor (spherical coordinates)
inertiayy	\(yy\) component of the inertia tensor (spherical coordinates)
inertiazz	\(zz\) component of the inertia tensor (spherical coordinates)
inertiaxx_car	\(xx\) component of the inertia tensor (Cartesian coordinates)
inertiayy_car	\(xx\) component of the inertia tensor (Cartesian coordinates)
inertiazz_car	\(xx\) component of the inertia tensor (Cartesian coordinates)
vol	\(\int\,dV\) (volume)
grhomax	\(\max (|\nabla \varrho|)\)
kap_tdep	time-dependent diffusivity

Module density_stratified.f90

Variable	Meaning
mass	\(\int\rho\,d^3x\)
rhomin	\(\min\left|\rho\right|\)
rhomax	\(\max\left|\rho\right|\)
drhom	\(\langle\Delta\rho/\rho_0\rangle\)
drho2m	\(\langle\left(\Delta\rho/\rho_0\right)^2\rangle\)
drhorms	\(\langle\Delta\rho/\rho_0\rangle_{rms}\)
drhomax	\(\max\left|\Delta\rho/\rho_0\right|\)

Module detonate.f90

Variable	Meaning
detn	Number of detonated sites (summed over time steps between adjacent outputs)
dettot	Total energy input (summed over time steps between adjacent outputs)

Module dustdensity.f90

Variable	Meaning
KKm	\(\sum {\cal T}_k^{\mathrm coag}\)
KK2m	\(\sum {\cal T}_k^{\mathrm coag}\)
MMxm	\(\sum {\cal M}^x_{k,{\mathrm coag}}\)
MMym	\(\sum {\cal M}^y_{k,{\mathrm coag}}\)
MMzm	\(\sum {\cal M}^z_{k,{\mathrm coag}}\)

Module entropy.f90

Variable	Meaning
dtc	\(\delta t/[c_{\delta t}\,\delta_x /\max c_{\mathrm s}]\) \(\quad\) (time step relative to acoustic time step; see S~ref{time-step})
ethm	\(\left<\varrho e\right>\) \(\quad\) (mean thermal [=internal] energy)
ethdivum
ssruzm	\(\left<s \varrho u_z/c_p\right>\)
ssuzm	\(\left<s u_z/c_p\right>\)
ssm	\(\left<s/c_p\right>\) \(\quad\) (mean entropy)
ssbycpm	\(\left<s/c_p\right>\) \(\quad\) (mean entropy)
ss2m	\(\left<(s/c_p)^2\right>\) \(\quad\) (mean squared entropy) \(\quad\) (mean of the running average of entropy)
eem	\(\left<e\right>\)
ppm	\(\left<p\right>\)
ppmax	\(\max(p)\)
ppmin	\(\min(p)\)
csm	\(\left<c_{\mathrm s}\right>\)
csmax	\(\max (c_{\mathrm s})\)
cgam	\(\left<c_{\gamma}\right>\)
pdivum	\(\left<p\nabla\cdot\uv\right>\)
heatm
ugradpm
fradbot	\(\int F_{\mathrm bot}\cdot d\vec{S}\)
fradtop	\(\int F_{\mathrm top}\cdot d\vec{S}\)
TTtop	\(\int T_{\mathrm top} d\vec{S}\)
ethtot	\(\int_V\varrho e\,dV\) \(\quad\) (total thermal [=internal] energy)
dtchi	\(\delta t / [c_{\delta t,{\mathrm v}}\, \delta x^2/\chi_{\mathrm max}]\) \(\quad\) (time step relative to time step based on heat conductivity; see S~ref{time-step})
Hmax	\(H_{\mathrm max}\) \(\quad\) (net heat sources summed see S~ref{time-step})
tauhmin	\(\min(\tau_{\mathrm heat})\)
dtH	\(\delta t / [c_{\delta t,{\mathrm s}}\, c_{\mathrm v}T /H_{\mathrm max}]\) \(\quad\) (time step relative to time step based on heat sources; see S~ref{time-step})
yHm	mean hydrogen ionization
yHmax	max of hydrogen ionization
TTm	\(\left<T\right>\)
TTmax	\(T_{\max}\)
TTmin	\(T_{\min}\)
TTmaxloc	location of \(T_{\max}\)
TTminloc	location of \(T_{\min}\)
gTmax	\(\max (|\nabla T|)\)
ssmax	\(s_{\max}\)
ssmin	\(s_{\min}\)
gTrms	\((\nabla T)_{\mathrm rms}\)
gsrms	\((\nabla s)_{\mathrm rms}\)
gTxgsrms	\((\nabla T\times\nabla s)_{\mathrm rms}\)
gTxgsom	\(\left< (\nabla T\times\nabla s)\cdot\boldsymbol{\omega} \right>\)
fconvm	\(\left< c_p \varrho u_z T \right>\)
TTp
ssmr
TTmr
ufpresm	\(\left< -u/\rho\nabla p \right>\)
Kkramersm	\(\left< K_{\mathrm kramers} \right>\)
chikrammin	\(\min (\chi_{\mathrm kramers})\)
chikrammax	\(\max (\chi_{\mathrm kramers})\)
TT2m	\(\left<(T)^2\right>\) \(\quad\) (mean squared temperature)

Module forcing.f90

Variable	Meaning
bfm	\(\left<\Bv\cdot\fv\right>\)
jfm	\(\left<\Jv\cdot\fv\right>\)
rufm	\(\left<\rho\fv\cdot\uv\right>\)
ufm	\(\left<\fv\cdot\uv\right>\)
ofm	\(\left<\ov\cdot\fv\right>\)

Module gravity_simple.f90

Variable	Meaning
epot	\(\left<\varrho \Phi_{\mathrm grav} \right>\) \(\quad\) (mean potential energy)
epottot	\(\int_V\varrho \Phi_{\mathrm grav} dV\) \(\quad\) (total potential energy)
ugm	\(\left<\uv \cdot \gv\right>\)
rugm	\(\left<\varrho \uv \cdot \gv\right>\)
rgxm	\(\left<\varrho g_x \right>\)
Wgrav	\(\int\varrho \uv \cdot \gv \, dV\)
Fgravx	\(\int\varrho g_x \, dV\)

Module heatflux.f90

Variable	Meaning
dtspitzer	Spitzer heat conduction time step
dtq	heatflux time step
dtq2	heatflux time step due to tau
qmax	\(\max(|\qv|)\)
tauqmax	\(\max(|\tau_{\mathrm Spitzer}|)\)
qxmin	\(\min(|q_x|)\)
qymin	\(\min(|q_y|)\)
qzmin	\(\min(|q_z|)\)
qxmax	\(\max(|q_x|)\)
qymax	\(\max(|q_y|)\)
qzmax	\(\max(|q_z|)\)
qrms	\(\sqrt(|\qv|^2)\)
qsatmin	minimum of qsat/qabs
qsatrms	rms of qsat/abs

Module hydro.f90

Variable	Meaning
u2tm	\(\left<\uv(t)\cdot\int_0^t\uv(t') dt'\right>\)
uotm	\(\left<\uv(t)\cdot\int_0^t\omv(t') dt'\right>\)
outm	\(\left<\omv(t)\cdot\int_0^t\uv(t') dt'\right>\)
fkinzm	\(\left<{1\over2} \varrho\uv^2 u_z\right>\)
gamm	\(\left<gamma\right>\)
gamrms	\(\left<\gamma^2\right>^{1/2}\)
gammax	\(\max(\gamma)\)
u2m	\(\left<\uv^2\right>\)
u2sphm	\(\int_{r=0}^{r=r_{\mathrm diag}} \uv^2 dV\) , where \(r=\sqrt{x^2+y^2+z^2}\)
um2
uxpt	\(u_x(x_1,y_1,z_1,t)\)
uypt	\(u_y(x_1,y_1,z_1,t)\)
uzpt	\(u_z(x_1,y_1,z_1,t)\)
uxp2	\(u_x(x_2,y_2,z_2,t)\)
uyp2	\(u_y(x_2,y_2,z_2,t)\)
uzp2	\(u_z(x_2,y_2,z_2,t)\)
uxuypt	\((u_x u_y)(x_1,y_1,z_1,t)\)
uyuzpt	\((u_y u_z)(x_1,y_1,z_1,t)\)
uzuxpt	\((u_z u_x)(x_1,y_1,z_1,t)\)
urms	\(\left<\uv^2\right>^{1/2}\)
urmsx	\(\left<\uv^2\right>^{1/2}\) for the hydro_xaver_range
urmsz	\(\left<\uv^2\right>^{1/2}\) for the hydro_zaver_range
durms	\(\left<\delta\uv^2\right>^{1/2}\)
umax	\(\max(|\uv|)\)
umin	\(\min(|\uv|)\)
uxrms	\(\left<u_x^2\right>^{1/2}\)
uyrms	\(\left<u_y^2\right>^{1/2}\)
uzrms	\(\left<u_z^2\right>^{1/2}\)
uzrmaxs
uxmin	\(\min(|u_x|)\)
uymin	\(\min(|u_y|)\)
uzmin	\(\min(|u_z|)\)
uxmax	\(\max(|u_x|)\)
uymax	\(\max(|u_y|)\)
uzmax	\(\max(|u_z|)\)
uxm	\(\left<u_x\right>\)
uym	\(\left<u_y\right>\)
uzm	\(\left<u_z\right>\)
uzcx10m	\(\left<u_z\cos10x\right>\)
uzsx10m	\(\left<u_z\sin10x\right>\)
uduum	\(\left<\boldsymbol{u}\cdot\boldsymbol{u}\right>\)
ux2m	\(\left<u_x^2\right>\)
uy2m	\(\left<u_y^2\right>\)
uz2m	\(\left<u_z^2\right>\)
ux3m	\(\left<u_x^3\right>\)
uy3m	\(\left<u_y^3\right>\)
uz3m	\(\left<u_z^3\right>\)
ux4m	\(\left<u_x^4\right>\)
uy4m	\(\left<u_y^4\right>\)
uz4m	\(\left<u_z^4\right>\)
u4m	\(\left<u^4\right>\)
u6m	\(\left<u^6\right>\)
u8m	\(\left<u^8\right>\)
uxuy2m	\(\left<u_x^2u_y^2\right>\)
uyuz2m	\(\left<u_y^2u_z^2\right>\)
uzux2m	\(\left<u_z^2u_x^2\right>\)
velxx2m	\(\left<w \gamma^2 u_x^2\right>\)
velxy2m	\(\left<w \gamma^2 u_y^2\right>\)
velxz2m	\(\left<w \gamma^2 u_z^2\right>\)
velxrms	\(\left<\sqrt{w} \gamma^2 u^2 \right>^{1/2}\)
T00m	\(\left< T_{00} \right>\)
Txxm	\(\left< T_{xx} \right>\)
Tyym	\(\left< T_{yy} \right>\)
Tzzm	\(\left< T_{zz} \right>\)
Txym	\(\left< T_{xy} \right>\)
Tyzm	\(\left< T_{yz} \right>\)
Tzxm	\(\left< T_{zx} \right>\)
T0x2m	\(\left< T_{0x}^2 \right>\)
T0y2m	\(\left< T_{0y}^2 \right>\)
T0z2m	\(\left< T_{0z}^2 \right>\)
T0irms	\(\left< T_{0i}^2 \right>^{1/2}\)
ux2ccm	\(\left<u_x^2\cos^2kz\right>\)
ux2ssm	\(\left<u_x^2\sin^2kz\right>\)
uy2ccm	\(\left<u_y^2\cos^2kz\right>\)
uy2ssm	\(\left<u_y^2\sin^2kz\right>\)
uxuycsm	\(\left<u_xu_y\cos kz\sin kz\right>\)
uxuym	\(\left<u_x u_y\right>\)
uxuzm	\(\left<u_x u_z\right>\)
uyuzm	\(\left<u_y u_z\right>\)
umx	\(\left< u_x \right>\)
umy	\(\left< u_y \right>\)
umz	\(\left< u_z \right>\)
omumz	\(\left<\left<\Wv\right>_{xy} \cdot\left<\Uv\right>_{xy} \right>\) \(\quad\) (\(xy\) -averaged mean cross helicity production)
umamz	\(\left<\left<\uv\right>_{xy}\cdot\left<\Av\right>_{xy}\right>\)
umbmz	\(\left<\left<\Uv\right>_{xy} \cdot\left<\Bv\right>_{xy} \right>\) \(\quad\) (\(xy\) -averaged mean cross helicity production)
umxbmz	\(\left<\left<\Uv\right>_{xy} \times\left<\Bv\right>_{xy} \right>_z\) \(\quad\) (\(xy\) -averaged mean emf)
rux2m	\(\left<\rho u_x^2\right>\)
ruy2m	\(\left<\rho u_y^2\right>\)
ruz2m	\(\left<\rho u_z^2\right>\)
divum	\(\left<{\mathrm div}\uv)\right>\)
rdivum	\(\left<\varrho{\mathrm div}\uv)\right>\)
divu2m	\(\left<({\mathrm div}\uv)^2\right>\)
gdivu2m	\(\left<({\mathrm grad\,div}\uv)^2\right>\)
u3u21m	\(\left<u_3 u_{2,1}\right>\)
u1u32m	\(\left<u_1 u_{3,2}\right>\)
u2u13m	\(\left<u_2 u_{1,3}\right>\)
u2u31m	\(\left<u_2 u_{3,1}\right>\)
u3u12m	\(\left<u_3 u_{1,2}\right>\)
u1u23m	\(\left<u_1 u_{2,3}\right>\)
u2mr
urmr
upmr
uzmr
uxfampm
uyfampm
uzfampm
uxfampim
uyfampim
uzfampim
ruxm	\(\left<\varrho u_x\right>\) \(\quad\) (mean \(x\) -momentum density)
ruym	\(\left<\varrho u_y\right>\) \(\quad\) (mean \(y\) -momentum density)
ruzm	\(\left<\varrho u_z\right>\) \(\quad\) (mean \(z\) -momentum density)
ruxtot	\(\left<\rho |u|\right>\) \(\quad\) (mean absolute \(x\) -momentum density)
rumax	\(\max(\varrho |\uv|)\) \(\quad\) (maximum modulus of momentum)
ruxuym	\(\left<\varrho u_x u_y\right>\) \(\quad\) (mean Reynolds stress)
ruxuzm	\(\left<\varrho u_x u_z\right>\) \(\quad\) (mean Reynolds stress)
ruyuzm	\(\left<\varrho u_y u_z\right>\) \(\quad\) (mean Reynolds stress)
divrhourms	\(\left|\nabla\cdot(\varrho\uv)\right|_{\mathrm rms}\)
divrhoumax	\(\left|\nabla\cdot(\varrho\uv)\right|_{\mathrm max}\)
rlxm	\(\left< \rho y u_z - z u_y \right>\)
rlym	\(\left< \rho z u_x - x u_z \right>\)
rlzm	\(\left< \rho x u_y - y u_x \right>\)
rlx2m	\(\left<(\rho y u_z-z u_y)^2\right>\)
rly2m	\(\left<(\rho z u_x-x u_z)^2\right>\)
rlz2m	\(\left<(\rho x u_y-y u_x)^2\right>\)
tot_ang_mom	Total angular momentum in spherical coordinates about the axis.
dtu	\(\delta t/[c_{\delta t}\,\delta x /\max|\mathbf{u}|]\) \(\quad\) (time step relative to advective time step; see S~ref{time-step})
oum	\(\left<\boldsymbol{\omega}\cdot\uv\right>\)
oxum	\(\left<\boldsymbol{\omega}\times\uv\right>\)
ourms	\(\left<(\boldsymbol{\omega}\cdot\uv)^2\right>^{1/2}\)
oxurms	\(\left<(\boldsymbol{\omega}\times\uv)^2\right>^{1/2}\)
ou_int	\(\int_V\boldsymbol{\omega}\cdot\uv\,dV\)
fum	\(\left<\fv\cdot\uv\right>\) (continuous forcing only)
odel2um	\(\left<\boldsymbol{\omega}\nabla^2\uv\right>\)
o2m	\(\left<\boldsymbol{\omega}^2\right> \equiv \left<(\curl\uv)^2\right>\)
o2u2m	\(\left<\uv^2\boldsymbol{\omega}^2\right>\)
o2sphm	\(\int_{r=0}^{r=r_{\mathrm diag}} \boldsymbol{\omega}^2 dV\) , where \(r=\sqrt{x^2+y^2+z^2}\)
orms	\(\left<\boldsymbol{\omega}^2\right>^{1/2}\)
omax	\(\max(|\boldsymbol{\omega}|)\)
ox2m	\(\left<\omega_x^2\right>\)
oy2m	\(\left<\omega_y^2\right>\)
oz2m	\(\left<\omega_z^2\right>\)
ox3m	\(\left<\omega_x^3\right>\)
oy3m	\(\left<\omega_y^3\right>\)
oz3m	\(\left<\omega_z^3\right>\)
ox4m	\(\left<\omega_x^4\right>\)
oy4m	\(\left<\omega_y^4\right>\)
oz4m	\(\left<\omega_z^4\right>\)
oxm
oym
ozm
oxuzxm	\(\left<\omega_x u_{z,x} \right>\)
oyuzym	\(\left<\omega_y u_{z,y} \right>\)
oxoym	\(\left<\omega_x\omega_y\right>\)
oxozm	\(\left<\omega_x\omega_z\right>\)
oyozm	\(\left<\omega_y\omega_z\right>\)
qfm	\(\left<\qv\cdot\fv\right>\)
q2m	\(\left<\qv^2\right>\)
qrms	\(\left<\qv^2\right>^{1/2}\)
qmax	\(\max(|\qv|)\)
qom	\(\left<\qv\cdot\omv\right>\)
quxom	\(\left<\qv\cdot(\uv\times\omv)\right>\)
qezxum	\(\left< (\boldsymbol{e_z} \times \mathbf{u}) \cdot \mathbf{q} \right>\)
quysm	\(\left< \frac{1}{\tau} (u_y^S - u_y) \mathbf{\hat{y}} \cdot \mathbf{q} \right>\)
jxbrqm	\(\left<(\Jv\times\Bv/\rho)\cdot\mathbf{q}\right>\)
pvzm	\(\left<\omega_z + 2\Omega/\varrho\right>\) \(\quad\) (z component of potential vorticity)
oumphi	\(\left<\omv\cdot\uv\right>_\varphi\)
ormphi	\(\left<\omega_r\right>_\varphi\)
opmphi	\(\left<\omega_\phi\right>_\varphi\)
ozmphi	\(\left<\omega_z\right>_\varphi\)
ormr
opmr
ozmr
uguxm
uguym
uguzm
ugurmsx	\(\left<\left(\uv\nabla\uv\right)^2\right>^{1/2}\) for the hydro_xaver_range
gu2m	\(\left<(\nabla\uv)^2\right>\)
ugu2m	\(\left<\uv\nabla\uv\right>^2\)
dudx	\(\left<\frac{\delta \uv}{\delta x}\right>\)
Marms	\(\left<\uv^2/\cs^2\right>\) \(\quad\) (rms Mach number)
Mamax	\(\max |\uv|/\cs\) \(\quad\) (maximum Mach number)
fintm
fextm
duxdzma
duydzma
EEK	\(\left<\varrho\uv^2\right>/2\)
EEK2	\(\left<(\varrho\uv^2/2)^2\right>\)
EEK3	\(\left<(\varrho\uv^2/2)^3\right>\)
EEK4	\(\left<(\varrho\uv^2/2)^4\right>\)
ekin	\(\left<{1\over2}\varrho\uv^2\right>\)
ekintot	\(\int_V{1\over2}\varrho\uv^2\, dV\)
totangmom
uxglnrym	\(\left<u_x\partial_y\ln\varrho\right>\)
uyglnrxm	\(\left<u_y\partial_x\ln\varrho\right>\)
uzdivum	\(\left<u_z\nabla\cdot\uv\right>\)
uxuydivum	\(\left<u_x u_y\nabla\cdot\uv\right>\)
divuHrms	\((\nabla_{\mathrm H}\cdot\uv_{\mathrm H})^{\mathrm rms}\)
uxxrms	\(u_{x,x}^{\mathrm rms}\)
uyyrms	\(u_{y,y}^{\mathrm rms}\)
uzzrms	\(u_{z,z}^{\mathrm rms}\)
uxzrms	\(u_{x,z}^{\mathrm rms}\)
uyzrms	\(u_{y,z}^{\mathrm rms}\)
uzyrms	\(u_{z,y}^{\mathrm rms}\)
dtF	\(\delta t/[c_{\delta t}\,\delta x /\max|\mathbf{F}|]\) \(\quad\) (time step relative to max force time step; see S~ref{time-step})
urlm	\(\int u_r(\theta,\phi)Y^m_{\ell}(\theta,\phi)\sin(\theta)d\theta d\phi\)
udpxxm	components of symmetric tensor \(\left< u_i \partial_j p + u_j \partial_i p \right>\)

Module hydro_kinematic.f90

Variable	Meaning
ourms	\(\left<(\boldsymbol{\omega}\cdot\uv)^2\right>^{1/2}\)
oxurms	\(\left<(\boldsymbol{\omega}\times\uv)^2\right>^{1/2}\)
EEK	\(\left<\varrho\uv^2\right>/2\)

Module hydro_potential.f90

Variable	Meaning
u2tm	\(\left<\uv(t)\cdot\int_0^t\uv(t') dt'\right>\)
fkinzm	\(\left<{1\over2} \varrho\uv^2 u_z\right>\)
u2m	\(\left<\uv^2\right>\)
um2
uxpt	\(u_x(x_1,y_1,z_1,t)\)
uypt	\(u_y(x_1,y_1,z_1,t)\)
uzpt	\(u_z(x_1,y_1,z_1,t)\)
uxp2	\(u_x(x_2,y_2,z_2,t)\)
uyp2	\(u_y(x_2,y_2,z_2,t)\)
uzp2	\(u_z(x_2,y_2,z_2,t)\)
urms	\(\left<\uv^2\right>^{1/2}\)
urmsx	\(\left<\uv^2\right>^{1/2}\) for the hydro_xaver_range
urmsz	\(\left<\uv^2\right>^{1/2}\) for the hydro_zaver_range
durms	\(\left<\delta\uv^2\right>^{1/2}\)
umax	\(\max(|\uv|)\)
umin	\(\min(|\uv|)\)
uxrms	\(\left<u_x^2\right>^{1/2}\)
uyrms	\(\left<u_y^2\right>^{1/2}\)
uzrms	\(\left<u_z^2\right>^{1/2}\)
uzrmaxs
uxmin	\(\min(|u_x|)\)
uymin	\(\min(|u_y|)\)
uzmin	\(\min(|u_z|)\)
uxmax	\(\max(|u_x|)\)
uymax	\(\max(|u_y|)\)
uzmax	\(\max(|u_z|)\)
uxm	\(\left<u_x\right>\)
uym	\(\left<u_y\right>\)
uzm	\(\left<u_z\right>\)
ux2m	\(\left<u_x^2\right>\)
uy2m	\(\left<u_y^2\right>\)
uz2m	\(\left<u_z^2\right>\)
ux2ccm	\(\left<u_x^2\cos^2kz\right>\)
ux2ssm	\(\left<u_x^2\sin^2kz\right>\)
uy2ccm	\(\left<u_y^2\cos^2kz\right>\)
uy2ssm	\(\left<u_y^2\sin^2kz\right>\)
uxuycsm	\(\left<u_xu_y\cos kz\sin kz\right>\)
uxuym	\(\left<u_x u_y\right>\)
uxuzm	\(\left<u_x u_z\right>\)
uyuzm	\(\left<u_y u_z\right>\)
umx	\(\left< u_x \right>\)
umy	\(\left< u_y \right>\)
umz	\(\left< u_z \right>\)
omumz	\(\left<\left<\Wv\right>_{xy} \cdot\left<\Uv\right>_{xy} \right>\) \(\quad\) (\(xy\) -averaged mean cross helicity production)
umamz	\(\left<\left<\uv\right>_{xy}\cdot\left<\Av\right>_{xy}\right>\)
umbmz	\(\left<\left<\Uv\right>_{xy} \cdot\left<\Bv\right>_{xy} \right>\) \(\quad\) (\(xy\) -averaged mean cross helicity production)
umxbmz	\(\left<\left<\Uv\right>_{xy} \times\left<\Bv\right>_{xy} \right>_z\) \(\quad\) (\(xy\) -averaged mean emf)
rux2m	\(\left<\rho u_x^2\right>\)
ruy2m	\(\left<\rho u_y^2\right>\)
ruz2m	\(\left<\rho u_z^2\right>\)
divum	\(\left<{\mathrm div}\uv)\right>\)
rdivum	\(\left<\varrho{\mathrm div}\uv)\right>\)
divu2m	\(\left<({\mathrm div}\uv)^2\right>\)
gdivu2m	\(\left<({\mathrm grad\,div}\uv)^2\right>\)
u3u21m	\(\left<u_3 u_{2,1}\right>\)
u1u32m	\(\left<u_1 u_{3,2}\right>\)
u2u13m	\(\left<u_2 u_{1,3}\right>\)
u2u31m	\(\left<u_2 u_{3,1}\right>\)
u3u12m	\(\left<u_3 u_{1,2}\right>\)
u1u23m	\(\left<u_1 u_{2,3}\right>\)
u2mr
urmr
upmr
uzmr
uxfampm
uyfampm
uzfampm
uxfampim
uyfampim
uzfampim
ruxm	\(\left<\varrho u_x\right>\) \(\quad\) (mean \(x\) -momentum density)
ruym	\(\left<\varrho u_y\right>\) \(\quad\) (mean \(y\) -momentum density)
ruzm	\(\left<\varrho u_z\right>\) \(\quad\) (mean \(z\) -momentum density)
ruxtot	\(\left<\rho |u|\right>\) \(\quad\) (mean absolute \(x\) -momentum density)
rumax	\(\max(\varrho |\uv|)\) \(\quad\) (maximum modulus of momentum)
ruxuym	\(\left<\varrho u_x u_y\right>\) \(\quad\) (mean Reynolds stress)
ruxuzm	\(\left<\varrho u_x u_z\right>\) \(\quad\) (mean Reynolds stress)
ruyuzm	\(\left<\varrho u_y u_z\right>\) \(\quad\) (mean Reynolds stress)
divrhourms	\(\left|\nabla\cdot(\varrho\uv)\right|_{\mathrm rms}\)
divrhoumax	\(\left|\nabla\cdot(\varrho\uv)\right|_{\mathrm max}\)
rlxm	\(\left< \rho y u_z - z u_y \right>\)
rlym	\(\left< \rho z u_x - x u_z \right>\)
rlzm	\(\left< \rho x u_y - y u_x \right>\)
rlx2m	\(\left<(\rho y u_z-z u_y)^2\right>\)
rly2m	\(\left<(\rho z u_x-x u_z)^2\right>\)
rlz2m	\(\left<(\rho x u_y-y u_x)^2\right>\)
tot_ang_mom	Total angular momentum in spherical coordinates about the axis.
dtu	\(\delta t/[c_{\delta t}\,\delta x /\max|\mathbf{u}|]\) \(\quad\) (time step relative to advective time step; see S~ref{time-step})
oum	\(\left<\boldsymbol{\omega} \cdot\uv\right>\)
ou_int	\(\int_V\boldsymbol{\omega}\cdot\uv\,dV\)
fum	\(\left<\fv\cdot\uv\right>\)
odel2um	\(\left<\boldsymbol{\omega}\nabla^2\uv\right>\)
o2m	\(\left<\boldsymbol{\omega}^2\right> \equiv \left<(\curl\uv)^2\right>\)
orms	\(\left<\boldsymbol{\omega}^2\right>^{1/2}\)
omax	\(\max(|\boldsymbol{\omega}|)\)
ox2m	\(\left<\omega_x^2\right>\)
oy2m	\(\left<\omega_y^2\right>\)
oz2m	\(\left<\omega_z^2\right>\)
oxm
oym
ozm
oxuzxm	\(\left<\omega_x u_{z,x} \right>\)
oyuzym	\(\left<\omega_y u_{z,y} \right>\)
oxoym	\(\left<\omega_x\omega_y\right>\)
oxozm	\(\left<\omega_x\omega_z\right>\)
oyozm	\(\left<\omega_y\omega_z\right>\)
qfm	\(\left<\qv\cdot\fv\right>\)
q2m	\(\left<\qv^2\right>\)
qrms	\(\left<\qv^2\right>^{1/2}\)
qmax	\(\max(|\qv|)\)
qom	\(\left<\qv\cdot\omv\right>\)
quxom	\(\left<\qv\cdot(\uv\times\omv)\right>\)
oumphi	\(\left<\omv\cdot\uv\right>_\varphi\)
ozmphi
ormr
opmr
ozmr
dudx	\(\left<\frac{\delta \uv}{\delta x}\right>\)
Marms	\(\left<\uv^2/\cs^2\right>\) \(\quad\) (rms Mach number)
Mamax	\(\max |\uv|/\cs\) \(\quad\) (maximum Mach number)
fintm
fextm
duxdzma
duydzma
EEK	\(\left<\varrho\uv^2\right>/2\)
ekin	\(\left<{1\over2}\varrho\uv^2\right>\)
ekintot	\(\int_V{1\over2}\varrho\uv^2\, dV\)
totangmom
uxglnrym	\(\left<u_x\partial_y\ln\varrho\right>\)
uyglnrxm	\(\left<u_y\partial_x\ln\varrho\right>\)
uzdivum	\(\left<u_z\nabla\cdot\uv\right>\)
uxuydivum	\(\left<u_x u_y\nabla\cdot\uv\right>\)
divuHrms	\((\nabla_{\mathrm H}\cdot\uv_{\mathrm H})^{\mathrm rms}\)
uxxrms	\(u_{x,x}^{\mathrm rms}\)
uyyrms	\(u_{y,y}^{\mathrm rms}\)
uxzrms	\(u_{x,z}^{\mathrm rms}\)
uyzrms	\(u_{y,z}^{\mathrm rms}\)
uzyrms	\(u_{z,y}^{\mathrm rms}\)
udpxxm	components of symmetric tensor \(\left< u_i \partial_j p + u_j \partial_i p \right>\)

Module interstellar.f90

Variable	Meaning
taucmin	\(\min(\tau_{\mathrm cool})\)
Hmax_ism	\(\max(\Gamma-\rho\Lambda)\)
Lamm	\(\left<\Lambda\right>\)
nrhom	TBC
rhoLm	\(\left<\rho\Lambda\right>\)
Gamm	\(\left<\Gamma\right>\)

Module lorenz_gauge.f90

Variable	Meaning
phim	\(\left<\phi\right>\)
phipt	\(\phi(x1,y1,z1)\)
phip2	\(\phi(x2,y2,z2)\)
phibzm	\(\left<\phi B_z\right>\)
phibzmz	\(\left<\phi B_z\right>_{xy}\)

Module magnetic.f90

Variable	Meaning
eta_tdep	\(t\) -dependent \(\eta\)
ab_int	\(\int\Av\cdot\Bv\;dV\)
jb_int	\(\int\jv\cdot\Bv\;dV\)
b2tm	\(\left<\bv(t)\cdot\int_0^t\bv(t') dt'\right>\)
bjtm	\(\left<\bv(t)\cdot\int_0^t\jv(t') dt'\right>\)
jbtm	\(\left<\jv(t)\cdot\int_0^t\bv(t') dt'\right>\)
ujtm	\(\left<\uv(t)\cdot\int_0^t\jv(t') dt'\right>\)
jutm	\(\left<\jv(t)\cdot\int_0^t\uv(t') dt'\right>\)
ubtm	\(\left<\uv(t)\cdot\int_0^t\bv(t') dt'\right>\)
butm	\(\left<\bv(t)\cdot\int_0^t\uv(t') dt'\right>\)
b2ruzm	\(\left<\Bv^2\rho u_z\right>\)
b2uzm	\(\left<\Bv^2u_z\right>\)
ubbzm	\(\left<(\uv\cdot\Bv)B_z\right>\)
b1m	\(\left<|\Bv|\right>\)
b2m	\(\left<\Bv^2\right>\)
EEM	\(\left<\Bv^2\right>/2\)
EEM2	\(\left<(\Bv^2/2)^2\right>\)
EEM3	\(\left<(\Bv^2/2)^3\right>\)
EEM4	\(\left<(\Bv^2/2)^4\right>\)
b4m	\(\log_{10}\left<\Bv^4\right>\)
b6m	\(\log_{10}\left<\Bv^6\right>\)
b8m	\(\log_{10}\left<\Bv^8\right>\)
b12m	\(\log_{10}\left<\Bv^{12}\right>\)
logbm	\(\left<\log B\right>\)
bm2	\(\max(\Bv^2)\)
j2m	\(\left<\jv^2\right>\)
jm2	\(\max(\jv^2)\)
abm	\(\left<\Av\cdot\Bv\right>\)
acbm	\(\left<\Av_\mathrm{Cou}\cdot\Bv\right>\)
gLamam	\(\left<\nabla\Lambda\cdot\Av\right>\)
gLambm	\(\left<\nabla\Lambda\cdot\Bv\right>\)
abumx	\(\left<u_x\Av\cdot\Bv\right>\)
abumy	\(\left<u_y\Av\cdot\Bv\right>\)
abumz	\(\left<u_z\Av\cdot\Bv\right>\)
abmh	\(\left<\Av\cdot\Bv\right>\) (temp)
abmn	\(\left<\Av\cdot\Bv\right>\) (north)
abms	\(\left<\Av\cdot\Bv\right>\) (south)
abrms	\(\left<(\Av\cdot\Bv)^2\right>^{1/2}\)
jbrms	\(\left<(\jv\cdot\Bv)^2\right>^{1/2}\)
jxbrms	\(\left<(\jv\times\Bv)^2\right>^{1/2}\)
ajm	\(\left<\jv\cdot\Av\right>\)
jbm	\(\left<\jv\cdot\Bv\right>\)
a2b2m	\(\left<\Av^2\cdot\Bv^2\right>\)
j2b2m	\(\left<\jv^2\cdot\Bv^2\right>\)
hjbm
jbmh	\(\left<\Jv\cdot\Bv\right>\) (temp)
jbmn	\(\left<\Jv\cdot\Bv\right>\) (north)
jbms	\(\left<\Jv\cdot\Bv\right>\) (south)
ubm	\(\left<\uv\cdot\Bv\right>\)
dubrms	\(\left<(\uv-\Bv)^2\right>^{1/2}\)
dobrms	\(\left<(\boldsymbol{\omega}-\Bv)^2 \right>^{1/2}\)
uxbxm	\(\left<u_xB_x\right>\)
uybxm	\(\left<u_yB_x\right>\)
uzbxm	\(\left<u_zB_x\right>\)
uxbym	\(\left<u_xB_y\right>\)
uybym	\(\left<u_yB_y\right>\)
uzbym	\(\left<u_zB_y\right>\)
uxbzm	\(\left<u_xB_z\right>\)
uybzm	\(\left<u_yB_z\right>\)
uzbzm	\(\left<u_zB_z\right>\)
uxjxm	\(\left<u_xJ_x\right>\)
uxjym	\(\left<u_xJ_y\right>\)
uxjzm	\(\left<u_xJ_z\right>\)
uyjxm	\(\left<u_yJ_x\right>\)
uyjym	\(\left<u_yJ_y\right>\)
uyjzm	\(\left<u_yJ_z\right>\)
uzjxm	\(\left<u_zJ_x\right>\)
uzjym	\(\left<u_zJ_y\right>\)
uzjzm	\(\left<u_zJ_z\right>\)
cosubm	\(\left<\Uv\cdot\Bv/(|\Uv|\,|\Bv|) \right>\)
jxbxm	\(\left<j_xB_x\right>\)
jybxm	\(\left<j_yB_x\right>\)
jzbxm	\(\left<j_zB_x\right>\)
jxbym	\(\left<j_xB_y\right>\)
jybym	\(\left<j_yB_y\right>\)
jzbym	\(\left<j_zB_y\right>\)
jxbzm	\(\left<j_xB_z\right>\)
jybzm	\(\left<j_yB_z\right>\)
jzbzm	\(\left<j_zB_z\right>\)
uam	\(\left<\uv\cdot\Av\right>\)
obm	\(\left<\ov\cdot\Bv\right>\)
ujm	\(\left<\uv\cdot\Jv\right>\)
fbm	\(\left<\fv\cdot\Bv\right>\)
fxbxm	\(\left<f_x B_x\right>\)
epsM	\(\left<\eta\mu_0\jv^2\right>\)
epsM2	\(\left<(\eta\mu_0\jv^2)^2\right>\)
epsM3	\(\left<(\eta\mu_0\jv^2)^3\right>\)
epsM4	\(\left<(\eta\mu_0\jv^2)^4\right>\)
epsAD	\(\left<\rho^{-1} t_{\mathrm AD} (\vec{J}\times\vec{B})^2\right>\) (heating by ion-neutrals friction)
bxpt	\(B_x(x_1,y_1,z_1,t)\)
bypt	\(B_y(x_1,y_1,z_1,t)\)
bzpt	\(B_z(x_1,y_1,z_1,t)\)
bxbypt	\((B_x B_y)(x_1,y_1,z_1,t)\)
bybzpt	\((B_y B_z)(x_1,y_1,z_1,t)\)
bzbxpt	\((B_z B_x)(x_1,y_1,z_1,t)\)
jxpt	\(J_x(x_1,y_1,z_1,t)\)
jypt	\(J_y(x_1,y_1,z_1,t)\)
jzpt	\(J_z(x_1,y_1,z_1,t)\)
Expt	\({\cal E}_x(x_1,y_1,z_1,t)\)
Eypt	\({\cal E}_y(x_1,y_1,z_1,t)\)
Ezpt	\({\cal E}_z(x_1,y_1,z_1,t)\)
axpt	\(A_x(x_1,y_1,z_1,t)\)
aypt	\(A_y(x_1,y_1,z_1,t)\)
azpt	\(A_z(x_1,y_1,z_1,t)\)
bxp2	\(B_x(x_2,y_2,z_2,t)\)
byp2	\(B_y(x_2,y_2,z_2,t)\)
bzp2	\(B_z(x_2,y_2,z_2,t)\)
jxp2	\(J_x(x_2,y_2,z_2,t)\)
jyp2	\(J_y(x_2,y_2,z_2,t)\)
jzp2	\(J_z(x_2,y_2,z_2,t)\)
Exp2	\({\cal E}_x(x_2,y_2,z_2,t)\)
Eyp2	\({\cal E}_y(x_2,y_2,z_2,t)\)
Ezp2	\({\cal E}_z(x_2,y_2,z_2,t)\)
axp2	\(A_x(x_2,y_2,z_2,t)\)
ayp2	\(A_y(x_2,y_2,z_2,t)\)
azp2	\(A_z(x_2,y_2,z_2,t)\)
epsM_LES
aybym2
exaym2
exabot	\(\int\Ev\times\Av\,dS|_{\mathrm bot}\)
exatop	\(\int\Ev\times\Av\,dS|_{\mathrm top}\)
exjm2
emag	\(\int_V{1\over2\mu_0}\Bv^2\, dV\)
km0EM	\(\int E_M(k)\,dk\)
km1EM	\(\int k^{-1} E_M(k)\,dk\)
brms	\(\left<\Bv^2\right>^{1/2}\)
bfrms	\(\left<{\Bv'}^2\right>^{1/2}\)
bf2m	\(\left<{\Bv'}^2\right>\)
bf4m	\(\left<{\Bv'}^4\right>\)
bmax	\(\max(|\Bv|)\)
bxmin	\(\min(|B_x|)\)
bymin	\(\min(|B_y|)\)
bzmin	\(\min(|B_z|)\)
bxmax	\(\max(|B_x|)\)
bymax	\(\max(|B_y|)\)
bzmax	\(\max(|B_z|)\)
bbxmax	\(\max(|B_x|) excluding Bv_{ext}\)
bbymax	\(\max(|B_y|) excluding Bv_{ext}\)
bbzmax	\(\max(|B_z|) excluding Bv_{ext}\)
jxmax	\(\max(|jv_x|)\)
jymax	\(\max(|jv_y|)\)
jzmax	\(\max(|jv_z|)\)
jrms	\(\left<\jv^2\right>^{1/2}\)
hjrms	\(\left<\jv^2\right>^{1/2}\)
jmax	\(\max(|\jv|)\)
vA23rms	\(\left<\Bv^2/\varrho^{4/3}\right>^{1/2}\)
vArms	\(\left<\Bv^2/\varrho\right>^{1/2}\)
vAmax	\(\max(\Bv^2/\varrho)^{1/2}\)
dtb	\(\delta t / [c_{\delta t}\,\delta x /v_{\mathrm A,max}]\) \(\quad\) (time step relative to Alfv{'e}n time step; see S~ref{time-step})
dteta	\(\delta t/[c_{\delta t,{\mathrm v}}\, \delta x^2/\eta_{\mathrm max}]\) \(\quad\) (time step relative to resistive time step; see S~ref{time-step})
dteta3	\(\delta t/[c_{\delta t,{\mathrm v3}}\, \delta x^6/\eta^{\mathrm hyper}_{\mathrm max}]\) \(\quad\) (time step relative to hyper resistive time step; see S~ref{time-step})
dtHr
dtFr
dtBr
axm
aym
azm
a2m	\(\left<\Av^2\right>\)
arms	\(\left<\Av^2\right>^{1/2}\)
az2m	\(\left<A_z^2\right>\)
amax	\(\max(|\Av|)\)
divarms	\(\langle(\nabla\cdot\Av)^2\rangle^{1/2}\)
beta1m	\(\left<\Bv^2/(2\mu_0 p)\right>\) \(\quad\) (mean inverse plasma beta)
beta1max	\(\max[\Bv^2/(2\mu_0 p)]\) \(\quad\) (maximum inverse plasma beta)
betam	\(\langle\beta\rangle\)
betamax	\(\max\beta\)
betamin	\(\min\beta\)
Azmid_min	\(\min A_z^{\mathrm mid}(x)\)
Azmid_max	\(\max A_z^{\mathrm mid}(x)\)
Azmid_ymin	\(\min A_z^{\mathrm mid}(y)\)
Azmid_ymax	\(\max A_z^{\mathrm mid}(y)\)
bxm	\(\left<B_x\right>\)
bym	\(\left<B_y\right>\)
bzm	\(\left<B_z\right>\)
jxm	\(\left<J_x\right>\)
jym	\(\left<J_y\right>\)
jzm	\(\left<J_z\right>\)
bxbym	\(\left<B_x B_y\right>\)
bxbzm	\(\left<B_x B_z\right>\)
bybzm	\(\left<B_y B_z\right>\)
djuidjbim
bij_cov_diffmax	difference between two implementations of covariant derivatives
bmx	\(\left<\left<\Bv\right>_{yz}^2 \right>^{1/2}\) \(\quad\) (energy of \(yz\) -averaged mean field)
bmy	\(\left<\left<\Bv\right>_{xz}^2 \right>^{1/2}\) \(\quad\) (energy of \(xz\) -averaged mean field)
bmz	\(\left<\left<\Bv\right>_{xy}^2 \right>^{1/2}\) \(\quad\) (energy of \(xy\) -averaged mean field)
bmzS2	\(\left<\left<\Bv_S\right>_{xy}^2\right>\)
bmzA2	\(\left<\left<\Bv_A\right>_{xy}^2\right>\)
jmx	\(\left<\left<\Jv\right>_{yz}^2 \right>^{1/2}\) \(\quad\) (energy of \(yz\) -averaged mean current density)
jmy	\(\left<\left<\Jv\right>_{xz}^2 \right>^{1/2}\) \(\quad\) (energy of \(xz\) -averaged mean current density)
jmz	\(\left<\left<\Jv\right>_{xy}^2 \right>^{1/2}\) \(\quad\) (energy of \(xy\) -averaged mean current density)
bmzph	Phase of a Beltrami field
bmzphe	Error of phase of a Beltrami field
bsinphz	sine of phase of a Beltrami field
bcosphz	cosine of phase of a Beltrami field
emxamz3	\(\left<\left<\Ev\right>_{xy}\times\left<\Av\right>_{xy} \right>\) \(\quad\) (\(xy\) -averaged mean field helicity flux)
embmz	\(\left<\left<\Ev\right>_{xy}\cdot\left<\Bv\right>_{xy} \right>\) \(\quad\) (\(xy\) -averaged mean field helicity production )
ambmz	\(\left<\left<\Av\right>_{xy}\cdot\left<\Bv\right>_{xy}\right>\) \(\quad\) (magnetic helicity of \(xy\) -averaged mean field)
ambmzh	\(\left<\left<\Av\right>_{xy}\cdot\left<\Bv\right>_{xy}\right>\) \(\quad\) (magnetic helicity of \(xy\) -averaged mean field, temp)
ambmzn	\(\left<\left<\Av\right>_{xy}\cdot\left<\Bv\right>_{xy}\right>\) \(\quad\) (magnetic helicity of \(xy\) -averaged mean field, north)
ambmzs	\(\left<\left<\Av\right>_{xy}\cdot\left<\Bv\right>_{xy}\right>\) \(\quad\) (magnetic helicity of \(xy\) -averaged mean field, south)
jmbmz	\(\left<\left<\Jv\right>_{xy}\cdot\left<\Bv\right>_{xy} \right>\) \(\quad\) (current helicity of \(xy\) -averaged mean field)
Rmmz	\(\left<\frac{|\uv\times\Bv|}{|\eta\Jv|} \right>_{xy}\)
kx_aa	\(k_x\)
kmz	\(\left<\left<\Jv\right>_{xy}\cdot\left<\Bv\right>_{xy}\right>/ \left<\left<\Bv\right>_{xy}^2\right>\)
bx2m	\(\left< B_x^2 \right>\)
by2m	\(\left< B_y^2 \right>\)
bz2m	\(\left< B_z^2 \right>\)
bx3m	\(\left< B_x^3 \right>\)
by3m	\(\left< B_y^3 \right>\)
bz3m	\(\left< B_z^3 \right>\)
bx4m	\(\left< B_x^4 \right>\)
by4m	\(\left< B_y^4 \right>\)
bz4m	\(\left< B_z^4 \right>\)
jx2m	\(\left< J_x^2 \right>\)
jy2m	\(\left< J_y^2 \right>\)
jz2m	\(\left< J_z^2 \right>\)
jx4m	\(\left< J_x^4 \right>\)
jy4m	\(\left< J_y^4 \right>\)
jz4m	\(\left< J_z^4 \right>\)
jz3m	\(\left< J_z^3 \right>\)
jh2m1	\(\left< J_\perp^2 \right>^{I}\)
jx2m1	\(\left< J_x^2 \right>^{I}\)
jy2m1	\(\left< J_y^2 \right>^{I}\)
jx2m2	\(\left< J_x^2 \right>^{II}\)
jy2m2	\(\left< J_y^2 \right>^{II}\)
jx2m3	\(\left< J_x^2 \right>^{III}\)
jy2m3	\(\left< J_y^2 \right>^{III}\)
uxbm	\(\left<\uv\times\Bv\right>\cdot\Bv_0/B_0^2\)
jxbm	\(\left<\jv\times\Bv\right>\cdot\Bv_0/B_0^2\)
vmagfricmax	\(\max(1/\nu_{\mathrm mag}|\jv\times\Bv/\Bv^2|)\)
vmagfricrms	\(\left<1/\nu_{\mathrm mag}|\jv\times\Bv/\Bv^2|^2\right>^{1/2}\)
oxuxbm
jxbxbm
gpxbm
uxDxuxbm
b3b21m	\(\left<B_3 B_{2,1} \right>\)
b3b12m	\(\left<B_3 B_{1,2} \right>\)
b1b32m	\(\left<B_1 B_{3,2} \right>\)
b1b23m	\(\left<B_1 B_{2,3} \right>\)
b2b13m	\(\left<B_2 B_{1,3} \right>\)
b2b31m	\(\left<B_2 B_{3,1} \right>\)
udotxbm
uxbdotm
uxbmx	\(\left<(\uv\times\Bv)_x\right>\)
uxbmy	\(\left<(\uv\times\Bv)_y\right>\)
uxbmz	\(\left<(\uv\times\Bv)_z\right>\)
jxbmx	\(\left<(\jv\times\Bv)_x\right>\)
jxbmy	\(\left<(\jv\times\Bv)_y\right>\)
jxbmz	\(\left<(\jv\times\Bv)_z\right>\)
uxbcmx
uxbcmy
uxbsmx
uxbsmy
examx	\(\left<\Ev\times\Av\right>|_x\)
examy	\(\left<\Ev\times\Av\right>|_y\)
examz	\(\left<\Ev\times\Av\right>|_z\)
exatotalmx	\(\left<\Ev\times\Av\right>|_x\)
exatotalmy	\(\left<\Ev\times\Av\right>|_y\)
exatotalmz	\(\left<\Ev\times\Av\right>|_z\)
exjmx	\(\left<\Ev\times\Jv\right>|_x\)
exjmy	\(\left<\Ev\times\Jv\right>|_y\)
exjmz	\(\left<\Ev\times\Jv\right>|_z\)
dexbmx	\(\left<\nabla\times\Ev\times\Bv\right>|_x\)
dexbmy	\(\left<\nabla\times\Ev\times\Bv\right>|_y\)
dexbmz	\(\left<\nabla\times\Ev\times\Bv\right>|_z\)
phibmx	\(\left<\phi\Bv\right>|_x\)
phibmy	\(\left<\phi\Bv\right>|_y\)
phibmz	\(\left<\phi\Bv\right>|_z\)
uxjm
b2divum	\(\left<\Bv^2\nabla\cdot\uv\right>\)
jdel2am	\(\left<\Jv\cdot\nabla^2\Av)\right>\)
jem	\(\left<\jv\cdot\Ev\right>\)
aem	\(\left<\Av\cdot\Ev\right>\)
ujxbm	\(\left<\uv\cdot(\Jv\times\Bv)\right>\)
WL2D	\(\left<J_i u_j A_{i,j} \right>\)
WL3D	\(-\left<J_i u_j A_{j,i} \right>\)
WL3D2	\(\left<J_i A_j u_{j,i} \right>\)
gb2m	\(\left<|\hat{B}_{i,j}|^2\right>\)
bij2m	\(\left<|\hat{B}_{i,j}|^2\right>\)
sijbibjm	\(\left<S_{i,j} B_i B_j\right>\)
ubgbpm	\(\left<\uv\cdot(\Bv\cdot\nabla\Bv)\right>\)
ugb22m	\(\left<\uv\cdot\nabla\Bv^2/2)\right>\)
jxbrxm
jxbrym
jxbrzm
jxbrmax	\(\max(|\Jv\times\Bv/\rho|)\)
jxbr2m	\(\left<(\Jv\times\Bv/\rho)^2\right>\)
jxbrqm	\(\left<(\Jv\times\Bv/\rho)\cdot\mathbf{q}\right>\)
uxBrms
Bresrms
Rmrms
jfm
brbpmr
vA2m
b2mr
brmr
bpmr
bzmr
armr
apmr
azmr
mflux_x
mflux_y
mflux_z
bmxy_rms	\(\sqrt{[\left<b_x\right>_z(x,y)]^2 + [\left<b_y\right>_z(x,y)]^2 + [\left<b_z\right>_z(x,y)]^2}\)
etasmagm	Mean of Smagorinsky resistivity
etasmagmin	Min of Smagorinsky resistivity
etasmagmax	Max of Smagorinsky resistivity
etavamax	Max of artificial resistivity \(\eta\sim v_A\)
etajmax	Max of artificial resistivity \(\eta\sim J / \sqrt{\rho}\)
etaj2max	Max of artificial resistivity \(\eta\sim J^2 / \rho\)
etajrhomax	Max of artificial resistivity \(\eta\sim J / \rho\)
etaaniso	\(\eta_1\)
etaanisoBB	\(\eta_{BB}\)
cosjbm	\(\left<\Jv\cdot\Bv/(|\Jv|\,|\Bv|)\right>\)
coshjbm
jparallelm	Mean value of the component of J parallel to B
jperpm	Mean value of the component of J perpendicular to B
hjparallelm	Mean value of the component of \(J_{\mathrm hyper}\) parallel to B
hjperpm	Mean value of the component of \(J_{\mathrm hyper}\) perpendicular to B
b2sphm	\(\int_{r=0}^{r=r_{\mathrm diag}} \Bv^2 dV\) , where \(r=\sqrt{x^2+y^2+z^2}\)
brmsx	\(\left<\Bv^2\right>^{1/2}\) for the magnetic_xaver_range
brmsz	\(\left<\Bv^2\right>^{1/2}\) for the magnetic_zaver_range
Exmxy	\(\left<{\cal E}_x\right>_{z}\)
Eymxy	\(\left<{\cal E}_y\right>_{z}\)
Ezmxy	\(\left<{\cal E}_z\right>_{z}\)

Module neutralvelocity.f90

Variable	Meaning
epsKn	\(\left<2\nu_n\varrho_n\Strain_n^2\right>\)

Module noentropy.f90

Variable	Meaning
dtc	\(\delta t/[c_{\delta t}\,\delta_x /\max c_{\mathrm s}]\) \(\quad\) (time step relative to acoustic time step; see S~ref{time-step})
ethm	\(\left<\varrho e\right>\) \(\quad\) (mean thermal [=internal] energy)
pdivum	\(\left<p\nabla\uv\right>\)
csm	\(\left<c_{\mathrm s}\right>\)

Module particles_caustics.f90

Variable	Meaning
TrSigmapm	\(\langle{\mathrm Tr}\left[\sigma\right]\rangle\)
blowupm	Mean no. of times \(\sigma\) falls below cutoff
lnVpm	Mean of (logarithm of) Volume around an inertial particle

Module particles_chemistry.f90

Variable	Meaning
Shchm	\(\mathrm{mean particle Sherwood number}\)

Module particles_dust.f90

Variable	Meaning
xpm	\(x_{part}\)
xpmin	\(x_{part}\)
xpmax	\(x_{part}\)
xp2m	\(x^2_{part}\)
vrelpabsm	\(\mathrm{Absolute value of mean relative velocity}\)
vpxm	\(u_{part}\)
vpx2m	\(u^2_{part}\)
vpcoalx2m	\(v^2_{coal,part}\) (thermal/coalescence velocity entering the Brownian coagulation kernel)
ekinp	\(E_{kin,part}\)
vpxmax	\(MAX(u_{part})\)
vpxmin	\(MIN(u_{part})\)
npm	\(\mathrm{mean particle number density}\)

Module particles_lagrangian.f90

Variable	Meaning
xpm	\(x_{part}\)
xp2m	\(x^2_{part}\)
vrelpabsm	\(\mathrm{Absolute value of mean relative velocity}\)
vpxm	\(u_{part}\)
vpx2m	\(u^2_{part}\)
ekinp	\(E_{kin,part}\)
vpxmax	\(MAX(u_{part})\)
vpxmin	\(MIN(u_{part})\)
npm	\(\mathrm{mean particle number density}\)

Module particles_mass_swarm.f90

Variable	Meaning
mpm	\(\overline{m_p}\)
mpmin	\(\min_j m_{p,j}\)
mpmax	\(\max_j m_{p,j}\)

Module particles_surfspec.f90

Variable	Meaning
dtpchem	\(dt_{particle,chemistry}\)

Module polymer.f90

Variable	Meaning
polytrm	\(\left\langle Tr[C_{ij}]\right\rangle\)
frmax	\(\max(f(r))\)

Module pscalar.f90

Variable	Meaning
rhoccm	\(\left<\varrho c\right>\)
ccmax	\(\max(c)\)
ccmin
lnccm
mcct
gcc5m
gcc10m
ucm
uudcm
Cz2m
Cz4m
cc1m
cc2m
cc3m
cc4m
cc5m
cc6m
cc7m
cc8m
cc9m
cc10m
Crmsm
gcc1m
gcc2m
gcc3m
gcc4m
gcc6m
gcc7m
gcc8m
gcc9m
lnccmz
lnccmy
lnccmx
ccmz
ccmy
ccmx
ccglnrm	\(\left<c\nabla_z\varrho\right>\)

Module pscalar_nolog.f90

Variable	Meaning
rhoccm	\(\left< \rho c_1 \right>\)
ccmax	\(\max[ c_1 ]\)
ccmin	\(\min[ c_1 ]\)
mrclncm	\(\left< \rho c_1 \log(c_1) \right>\)
rhoccmax	\(\max[ \rho c_1 ]\)
rhoc2m	\(\left< \rho c_2 \right>\)
rhoc3m	\(\left< \rho c_3 \right>\)
ucm	\(\left< u_z c_1 \right>\) (with an extra factor of \(2 \cos(z)\) if lgradC_profile=T)
uudcm	\(\left< u_z \vec{u} \cdot \grad c_1 \right>\)
Cz2m	\(\left< \rho c_1 z^2 \right>\)
Cz4m	\(\left< \rho c_1 z^4 \right>\)
Crmsm	\(\sqrt{\left< \rho c_1^2 \right>}\)
ccrms	\(\sqrt{\left< c_1^2 \right>}\)
uxcm	\(\left< u_x c_1 \right>\)
uycm	\(\left< u_y c_1 \right>\)
uzcm	\(\left< u_z c_1 \right>\)
cc1m	\(\left< c_1^{-1} \right>\)
cc2m	\(\left< c_1^{-2} \right>\)
cc3m	\(\left< c_1^{-3} \right>\)
cc4m	\(\left< c_1^{-4} \right>\)
cc5m	\(\left< c_1^{-5} \right>\)
cc6m	\(\left< c_1^{-6} \right>\)
cc7m	\(\left< c_1^{-7} \right>\)
cc8m	\(\left< c_1^{-8} \right>\)
cc9m	\(\left< c_1^{-9} \right>\)
cc10m	\(\left< c_1^{-10} \right>\)
gcc1m	\(\left< \left|\grad c_1 \right| \right>\)
gcc2m	\(\left< \left|\grad c_1 \right|^{2} \right>\)
gcc3m	\(\left< \left|\grad c_1 \right|^{3} \right>\)
gcc4m	\(\left< \left|\grad c_1 \right|^{4} \right>\)
gcc5m	\(\left< \left|\grad c_1 \right|^{5} \right>\)
gcc6m	\(\left< \left|\grad c_1 \right|^{6} \right>\)
gcc7m	\(\left< \left|\grad c_1 \right|^{7} \right>\)
gcc8m	\(\left< \left|\grad c_1 \right|^{8} \right>\)
gcc9m	\(\left< \left|\grad c_1 \right|^{9} \right>\)
gcc10m	\(\left< \left|\grad c_1 \right|^{10} \right>\)
cugccm	\(\left< c_1 \vec{u} \cdot \grad c_1 \right>\)
ccugum	\(\left< c_1 \vec{u} \cdot \grad u_z \right>\)
ccglnrm	\(\left< c_1 \partial_z \log\rho \right>\)

Module selfgravity.f90

Variable	Meaning
rugpotselfm	\(\left<\rho\uv\cdot\nabla\Phi\right>\)
gpotself2m	\(\left<(\nabla\Phi)^2\right>\)

Module shear.f90

Variable	Meaning
dtshear	advec_shear/cdt
deltay	deltay

Module shock.f90

Variable	Meaning
shockmax	Max shock number

Module shock_highorder.f90

Variable	Meaning
shockm
shockmin
shockmax
gshockmax	\(\max\left|\nabla\nu_{shock}\right|\)

Module solid_cells_ogrid_chemistry.f90

Variable	Meaning
Ym	\(\left<Y_x\right>\)
dYm	\(\delta\left<Y_x\right>/\delta t\)
dYmax	\(max\delta\left<Y_x\right>/\delta t\)
Ymax	\(\left<Y_{x,max}\right>\)
Ymin	\(\left<Y_{x,min}\right>\)
hm	\(\left<H_{x,max}\right>\)
cpm	\(\left<c_{p,x}\right>\)
diffm	\(\left<D_{x}\right>\)
Ymz	\(\left<Y_x\right>_{xy}(z)\)
dtchem	\(dt_{chem}\)

Module temperature_idealgas.f90

Variable	Meaning
TTmax	\(\max (T)\)
gTmax	\(\max (|\nabla T|)\)
TTmin	\(\min (T)\)
TTm	\(\left< T \right>\)
TTzmask	\(\left< T \right>\) for the temp_zaver_range
TT2m	\(\left< T^2 \right>\)
TugTm	\(\left< T\uv\cdot\nabla T \right>\)
Trms	\(\sqrt{\left< T^2 \right>}\)
uxTm	\(\left< u_x T \right>\)
uyTm	\(\left< u_y T \right>\)
uzTm	\(\left< u_z T \right>\)
gT2m	\(\left< (\nabla T)^2 \right>\)
guxgTm	\(\left< \nabla u_x \cdot \nabla T \right>\)
guygTm	\(\left< \nabla u_y \cdot \nabla T \right>\)
guzgTm	\(\left< \nabla u_z \cdot \nabla T \right>\)
Tugux_uxugTm	\(\left< T \uv\cdot\nabla u_x + u_x \uv\cdot\nabla T \right> =\left< \uv\cdot\nabla(u_x T) \right>\)
Tuguy_uyugTm	\(\left< T \uv\cdot\nabla u_y + u_y \uv\cdot\nabla T \right> =\left< \uv\cdot\nabla(u_y T) \right>\)
Tuguz_uzugTm	\(\left< T \uv\cdot\nabla u_z + u_z \uv\cdot\nabla T \right> =\left< \uv\cdot\nabla(u_z T) \right>\)
Tdxpm	\(\left< T dp/dx \right>\)
Tdypm	\(\left< T dp/dy \right>\)
Tdzpm	\(\left< T dp/dz \right>\)
fradtop	\(<-K{dT\over dz}>_{\text{top}}\) \(\quad\) (top radiative flux)
fradbot	\(<-K{dT\over dz}>_{\text{bot}}\) \(\quad\) (bottom radiative flux)
yHmax	DOCUMENT ME
yHmin	DOCUMENT ME
yHm	DOCUMENT ME
ethm	\(\left< e_{\text{th}}\right> = \left< c_v \rho T \right> ` :math:\)quad` (mean thermal energy)
eem	\(\left< e \right> = \left< c_v T \right>\) \(\quad\) (mean internal energy)
ethtot	\(\int_V\varrho e\,dV\) \(\quad\) (total thermal energy)
ssm	\(\overline{S}\)
thcool	\(\tau_{\mathrm cool}\)
ppm	\(\overline{P}\)
csm	\(\overline{c}_{\mathrm s}\)
csmax	\(\max (c_{\mathrm s})\)
dtc	\(\delta t/[c_{\delta t}\,\delta_x /\max c_{\mathrm s}]\) \(\quad\) (time step relative to acoustic time step; see S~ref{time-step})
dtchi	\(\delta t / [c_{\delta t,{\mathrm v}}\, \delta x^2/\chi_{\mathrm max}]\) \(\quad\) (time step relative to time step based on heat conductivity; see S~ref{time-step})

Module temperature_ionization.f90

Variable	Meaning
TTmax	\(\max (T)\)
TTmin	\(\min (T)\)
TTm	\(\left< T \right>\)
yHmax
yHmin
yHm
ethm	\(\left< e_{\text{th}}\right> = \left< c_v \rho T \right> ` :math:\)quad` (mean thermal energy)
ssm
dtc
eem	\(\left< e \right> ` :math:\)quad` (mean internal energy)
ppm	:math:`left< p right> `
Tppm	:math:`left<max(p_{mathrm thresh}-p,0)_{mathrm norm}right> `
mum
heatThm	\(\alpha_\mathrm{Th}\)
TTref	\(T_\mathrm{ref}\)
ppmax
ppmin

Module testfield_axisym.f90

Variable	Meaning
alpPERP	\(\alpha_\perp\)
alpPARA	\(\alpha_\perp\)
gam	\(\gamma\)
betPERP	\(\beta_\perp\)
betPARA	\(\beta_\perp\)
del	\(\delta\)
kapPERP	\(\kappa_\perp\)
kapPARA	\(\kappa_\perp\)
mu	\(\mu\)
alpPERPz	\(\alpha_\perp(z)\)
alpPARAz	\(\alpha_\perp(z)\)
gamz	\(\gamma(z)\)
betPERPz	\(\beta_\perp(z)\)
betPARAz	\(\beta_\perp(z)\)
delz	\(\delta(z)\)
kapPERPz	\(\kappa_\perp(z)\)
kapPARAz	\(\kappa_\perp(z)\)
muz	\(\mu(z)\)
bx1pt	\(b_x^{1}\)
bx2pt	\(b_x^{2}\)
bx3pt	\(b_x^{3}\)
b1rms	\(\left<b_{1}^2\right>^{1/2}\)
b2rms	\(\left<b_{2}^2\right>^{1/2}\)
b3rms	\(\left<b_{3}^2\right>^{1/2}\)

Module testfield_axisym2.f90

Variable	Meaning
alpPERP	\(\alpha_\perp\)
alpPARA	\(\alpha_\perp\)
gam	\(\gamma\)
betPERP	\(\beta_\perp\)
betPARA	\(\beta_\perp\)
del	\(\delta\)
kapPERP	\(\kappa_\perp\)
kapPARA	\(\kappa_\perp\)
mu	\(\mu\)
bx1pt	\(b_x^{1}\)
bx2pt	\(b_x^{2}\)
bx3pt	\(b_x^{3}\)
b1rms	\(\left<b_{1}^2\right>^{1/2}\)
b2rms	\(\left<b_{2}^2\right>^{1/2}\)
b3rms	\(\left<b_{3}^2\right>^{1/2}\)

Module testfield_meri.f90

Variable	Meaning
E11xy	\(E_{11xy}\)
E12xy	\(E_{12xy}\)
E13xy	\(E_{13xy}\)
E21xy	\(E_{21xy}\)
E22xy	\(E_{22xy}\)
E23xy	\(E_{23xy}\)
E31xy	\(E_{31xy}\)
E32xy	\(E_{32xy}\)
E33xy	\(E_{33xy}\)
E41xy	\(E_{41xy}\)
E42xy	\(E_{42xy}\)
E43xy	\(E_{43xy}\)
E51xy	\(E_{51xy}\)
E52xy	\(E_{52xy}\)
E53xy	\(E_{53xy}\)
E61xy	\(E_{61xy}\)
E62xy	\(E_{62xy}\)
E63xy	\(E_{63xy}\)
E71xy	\(E_{71xy}\)
E72xy	\(E_{72xy}\)
E73xy	\(E_{73xy}\)
E81xy	\(E_{81}\)
E82xy	\(E_{82}\)
E83xy	\(E_{83}\)
E91xy	\(E_{91}\)
E92xy	\(E_{92}\)
E93xy	\(E_{93}\)
a11xy	\(\alpha_{11}\)
a12xy	\(\alpha_{12}\)
a13xy	\(\alpha_{13}\)
a21xy	\(\alpha_{21}\)
a22xy	\(\alpha_{22}\)
a23xy	\(\alpha_{23}\)
a31xy	\(\alpha_{31}\)
a32xy	\(\alpha_{32}\)
a33xy	\(\alpha_{33}\)
b111xy	\(\b_{111}\)
b121xy	\(\b_{121}\)
b131xy	\(\b_{131}\)
b211xy	\(\b_{211}\)
b221xy	\(\b_{221}\)
b231xy	\(\b_{231}\)
b311xy	\(\b_{311}\)
b321xy	\(\b_{321}\)
b331xy	\(\b_{331}\)
b112xy	\(\b_{112}\)
b122xy	\(\b_{122}\)
b132xy	\(\b_{132}\)
b212xy	\(\b_{212}\)
b222xy	\(\b_{222}\)
b232xy	\(\b_{232}\)
b312xy	\(\b_{312}\)
b322xy	\(\b_{322}\)
b332xy	\(\b_{332}\)

Module testflow_z.f90

Variable	Meaning
gal	GAL-coefficients, couple \(\overline F\) and \(\overline U\)
aklam	AKA-\(\lambda\) -tensor, couples \(\overline F\) and \(\overline W = \nabla\times{\overline U}\)
gamma	\(\gamma\) -vector, couples \(\overline F\) and \(\nabla\cdot{\overline U}\)
nu	\(\nu\) -tensor, couples \(\overline F\) and \(\partial^2 {\overline U}/\partial z^2\)
zeta	\(\zeta\) -vector, couples \(\overline F\) and \({\overline G}_z = \nabla_z {\overline H}\)
xi	\(\xi\) -vector, couples \(\overline F\) and \(\partial^2 {\overline H}/\partial z^2\)
aklamQ	\(aklam^Q\) -vector, couples \(\overline Q\) and \(\overline W\)
gammaQ	\(\gamma^Q\) -scalar, couples \(\overline Q\) and \(\nabla\cdot{\overline U}=dU_z/dz\)
nuQ	\(\nu^Q\) -vector, couples \(\overline Q\) and \(\partial^2 \overline U/\partial z^2\)
zetaQ	\(\zeta^Q\) -scalar, couples \(\overline Q\) and \({\overline G}_z\)
xiQ	\(\xi^Q\) -scalar, couples \(\overline Q\) and \(\partial^2 {\overline H}/\partial z^2\)
galij
aklamij	\(\alpha_{K,ij}\)
gammai	\(\gamma_i\)
nuij	\(\nu_{ij}\)
zetai	\(\zeta_i\) \(\xi_i\) \(\nu^Q_i\)
aklamQi	\(aklam^Q_i\)
Fipq	\({\cal F}_i^{pq}\)
Qpq	\({\cal Q}^{pq}\)
upqrms	\(\left<{u^{pq}}^2\right>\)
hpqrms	\(\left<{h^{pq}}^2\right>\)
ux0mz	\(\left<u_{x}\right>_{xy}\)
uy0mz	\(\left<u_{y}\right>_{xy}\)
uz0mz	\(\left<u_{z}\right>_{xy}\)

Module thermal_energy.f90

Variable	Meaning
TTmax	\(\max (T)\)
TTmin	\(\min (T)\)
ppm	\(\left< p \right>\)
TTm	\(\left<T\right>\)
ethm	\(\left< e_{\text{th}}\right> = \left< c_v \rho T \right> ` :math:\)quad` (mean thermal energy)
ethtot	\(\int_V e_{\text{th}}\,dV\) \(\quad\) (total thermal energy)
ethmin	\(\mathrm{min} e_\text{th}\)
ethmax	\(\mathrm{max} e_\text{th}\)
eem	\(\left< e \right> = \left< c_v T \right>\) \(\quad\) (mean internal energy)
etot	\(\langle e_\textrm{th} + \rho u^2 / 2\rangle\)

Module training_torchfort.f90

Variable	Meaning
loss	torchfort training loss
tauerror	\(\sqrt{\left<(\sum_{i,j} u_i*u_j - tau_{ij})^2\right>}\)

Module viscosity.f90

Variable	Meaning
nu_tdep	time-dependent viscosity
ell_gam	time-dependent photon mean free path
fviscm	Mean value of viscous acceleration
fviscmin	Min value of viscous acceleration (redundant)
fviscmax	Max absolute viscous acceleration
fviscrmsx	Rms value of viscous acceleration for the vis_xaver_range
num	Mean value of viscosity
numax	Max value of viscosity
numin	Min value of viscosity
nusmagm	Mean value of Smagorinsky viscosity
nusmagmin	Min value of Smagorinsky viscosity
nusmagmax	Max value of Smagorinsky viscosity
nu_LES	Mean value of Smagorinsky viscosity
visc_heatm	Mean value of viscous heating
qfviscm	\(\left<\qv\cdot \fv_{\mathrm visc}\right>\)
ufviscm	\(\left<\uv\cdot \fv_{\mathrm visc}\right>\)
Sij2m	\(\left<\Strain^2\right>\)
epsK	\(\left<2\nu\varrho\Strain^2\right>\)
epsK2	\(\left<(2\nu\varrho\Strain^2)^2\right>\)
epsK3	\(\left<(2\nu\varrho\Strain^2)^3\right>\)
epsK4	\(\left<(2\nu\varrho\Strain^2)^4\right>\)
epsKint	\(\int(2\nu\varrho\Strain^2)\,dV\)
epsK_LES
sijoiojm	\(\left<S_{i,j} \omega_i \omega_j\right>\)
dtnu	\(\delta t/[c_{\delta t,{\mathrm v}}\, \delta x^2/\nu_{\mathrm max}]\) \(\quad\) (time step relative to viscous time step; see S~ref{time-step})
meshRemax	Max mesh Reynolds number
mesh3Remax	Max hyper3 mesh Reynolds number
Reshock	Mesh Reynolds number at shock
nuD2uxbxm
nuD2uxbym
nuD2uxbzm

Module experimental/anelastic.f90

Variable	Meaning
rhom	\(\left<\varrho\right>\) \(\quad\) (mean density)
rho2m
lnrho2m
drho2m
drhom
rhomin
rhomax
ugrhom	\(\left<\uv\cdot\nabla\varrho\right>\)
uglnrhom
dtd
rhomz
rhomy
rhomx
rhomxy
rhomxz
rhomr
totmass
mass	\(\int\varrho\,dV\)
divrhoum	\(\left<\nabla\cdot(\varrho\uv)\right>\)
divrhourms	\(\left|\nabla\cdot(\varrho\uv)\right|_{\mathrm rms}\)
divrhoumax	\(\left|\nabla\cdot(\varrho\uv)\right|_{\mathrm max}\)

Module experimental/cosmicray_current.f90

Variable	Meaning
ekincr	\(\left<{1\over2}\varrho\uv_{\mathrm cr}^2\right>\)
ethmcr	\(\left<\varrho_{\mathrm cr} e_{\mathrm cr}\right>\)

Module experimental/entropy_anelastic.f90

Variable	Meaning
dtc	\(\delta t/[c_{\delta t}\,\delta_x /\max c_{\mathrm s}]\) \(\quad\) (time step relative to acoustic time step; see S~ref{time-step})
ethm	\(\left<\varrho e\right>\) \(\quad\) (mean thermal [=internal] energy)
ethdivum
ssm	\(\left<s/c_p\right>\) \(\quad\) (mean entropy)
ss2m	\(\left<(s/c_p)^2\right>\) \(\quad\) (mean squared entropy)
eem	\(\left<e\right>\)
ppm	\(\left<p\right>\)
csm	\(\left<c_{\mathrm s}\right>\)
pdivum	\(\left<p\nabla\uv\right>\)
heatm
ugradpm
fradbot	\(\int F_{\mathrm bot}\cdot d\vec{S}\)
fradtop	\(\int F_{\mathrm top}\cdot d\vec{S}\)
TTtop	\(\int T_{\mathrm top} d\vec{S}\)
ethtot	\(\int_V\varrho e\,dV\) \(\quad\) (total thermal [=internal] energy)
dtchi	\(\delta t / [c_{\delta t,{\mathrm v}}\, \delta x^2/\chi_{\mathrm max}]\) \(\quad\) (time step relative to time step based on heat conductivity; see S~ref{time-step})
yHm
yHmax
TTm
TTmax
TTmin
fconvm
fconvz
dcoolz
fradz
fturbz
ssmx
ssmy
ssmz
TTp
ssmr
TTmx
TTmy
TTmz
TTmxy
TTmxz
TTmr
uxTTmz
uyTTmz
uzTTmz
uxTTmxy
ssmxy	\(\left< s \right>_{z}\)
ssmxz	\(\left< s \right>_{y}\)

Module experimental/magnetic_shearboxJ.f90

Variable	Meaning
ab_int	\(\int\Av\cdot\Bv\;dV\)
jb_int	\(\int\jv\cdot\Bv\;dV\)
b2tm	\(\left<\bv(t)\cdot\int_0^t\bv(t') dt'\right>\)
bjtm	\(\left<\bv(t)\cdot\int_0^t\jv(t') dt'\right>\)
jbtm	\(\left<\jv(t)\cdot\int_0^t\bv(t') dt'\right>\)
b2ruzm	\(\left<\Bv^2\rho u_z\right>\)
b2uzm	\(\left<\Bv^2u_z\right>\)
ubbzm	\(\left<(\uv\cdot\Bv)B_z\right>\)
b1m	\(\left<|\Bv|\right>\)
b2m	\(\left<\Bv^2\right>\)
bm2	\(\max(\Bv^2)\)
j2m	\(\left<\jv^2\right>\)
jm2	\(\max(\jv^2)\)
abm	\(\left<\Av\cdot\Bv\right>\)
abumx	\(\left<u_x\Av\cdot\Bv\right>\)
abumy	\(\left<u_y\Av\cdot\Bv\right>\)
abumz	\(\left<u_z\Av\cdot\Bv\right>\)
abmh	\(\left<\Av\cdot\Bv\right>\) (temp)
abmn	\(\left<\Av\cdot\Bv\right>\) (north)
abms	\(\left<\Av\cdot\Bv\right>\) (south)
abrms	\(\left<(\Av\cdot\Bv)^2\right>^{1/2}\)
jbrms	\(\left<(\jv\cdot\Bv)^2\right>^{1/2}\)
ajm	\(\left<\jv\cdot\Av\right>\)
jbm	\(\left<\jv\cdot\Bv\right>\)
hjbm
jbmh	\(\left<\Jv\cdot\Bv\right>\) (temp)
jbmn	\(\left<\Jv\cdot\Bv\right>\) (north)
jbms	\(\left<\Jv\cdot\Bv\right>\) (south)
ubm	\(\left<\uv\cdot\Bv\right>\)
dubrms	\(\left<(\uv-\Bv)^2\right>^{1/2}\)
dobrms	\(\left<(\boldsymbol{\omega}-\Bv)^2 \right>^{1/2}\)
uxbxm	\(\left<u_xB_x\right>\)
uybxm	\(\left<u_yB_x\right>\)
uzbxm	\(\left<u_zB_x\right>\)
uxbym	\(\left<u_xB_y\right>\)
uybym	\(\left<u_yB_y\right>\)
uzbym	\(\left<u_zB_y\right>\)
uxbzm	\(\left<u_xB_z\right>\)
uybzm	\(\left<u_yB_z\right>\)
uzbzm	\(\left<u_zB_z\right>\)
cosubm	\(\left<\Uv\cdot\Bv/(|\Uv|\,|\Bv|) \right>\)
jxbxm	\(\left<j_xB_x\right>\)
jybxm	\(\left<j_yB_x\right>\)
jzbxm	\(\left<j_zB_x\right>\)
jxbym	\(\left<j_xB_y\right>\)
jybym	\(\left<j_yB_y\right>\)
jzbym	\(\left<j_zB_y\right>\)
jxbzm	\(\left<j_xB_z\right>\)
jybzm	\(\left<j_yB_z\right>\)
jzbzm	\(\left<j_zB_z\right>\)
uam	\(\left<\uv\cdot\Av\right>\)
ujm	\(\left<\uv\cdot\Jv\right>\)
fbm	\(\left<\fv\cdot\Bv\right>\)
fxbxm	\(\left<f_x B_x\right>\)
epsM	\(\left<\eta\mu_0\jv^2\right>\)
epsAD	\(\left<\rho^{-1} t_{\mathrm AD} (\vec{J}\times\vec{B})^2\right>\) (heating by ion-neutrals friction)
bxpt	\(B_x(x_1,y_1,z_1,t)\)
bypt	\(B_y(x_1,y_1,z_1,t)\)
bzpt	\(B_z(x_1,y_1,z_1,t)\)
jxpt	\(J_x(x_1,y_1,z_1,t)\)
jypt	\(J_y(x_1,y_1,z_1,t)\)
jzpt	\(J_z(x_1,y_1,z_1,t)\)
Expt	\({\cal E}_x(x_1,y_1,z_1,t)\)
Eypt	\({\cal E}_y(x_1,y_1,z_1,t)\)
Ezpt	\({\cal E}_z(x_1,y_1,z_1,t)\)
axpt	\(A_x(x_1,y_1,z_1,t)\)
aypt	\(A_y(x_1,y_1,z_1,t)\)
azpt	\(A_z(x_1,y_1,z_1,t)\)
bxp2	\(B_x(x_2,y_2,z_2,t)\)
byp2	\(B_y(x_2,y_2,z_2,t)\)
bzp2	\(B_z(x_2,y_2,z_2,t)\)
jxp2	\(J_x(x_2,y_2,z_2,t)\)
jyp2	\(J_y(x_2,y_2,z_2,t)\)
jzp2	\(J_z(x_2,y_2,z_2,t)\)
Exp2	\({\cal E}_x(x_2,y_2,z_2,t)\)
Eyp2	\({\cal E}_y(x_2,y_2,z_2,t)\)
Ezp2	\({\cal E}_z(x_2,y_2,z_2,t)\)
axp2	\(A_x(x_2,y_2,z_2,t)\)
ayp2	\(A_y(x_2,y_2,z_2,t)\)
azp2	\(A_z(x_2,y_2,z_2,t)\)
epsM_LES
aybym2
exaym2
exabot	\(\int\Ev\times\Av\,dS|_{\mathrm bot}\)
exatop	\(\int\Ev\times\Av\,dS|_{\mathrm top}\)
exjm2
emag	\(\int_V{1\over2\mu_0}\Bv^2\, dV\)
brms	\(\left<\Bv^2\right>^{1/2}\)
bfrms	\(\left<{\Bv'}^2\right>^{1/2}\)
bmax	\(\max(|\Bv|)\)
bxmin	\(\min(|B_x|)\)
bymin	\(\min(|B_y|)\)
bzmin	\(\min(|B_z|)\)
bxmax	\(\max(|B_x|)\)
bymax	\(\max(|B_y|)\)
bzmax	\(\max(|B_z|)\)
bbxmax	\(\max(|B_x|) excluding Bv_{ext}\)
bbymax	\(\max(|B_y|) excluding Bv_{ext}\)
bbzmax	\(\max(|B_z|) excluding Bv_{ext}\)
jxmax	\(\max(|jv_x|)\)
jymax	\(\max(|jv_y|)\)
jzmax	\(\max(|jv_z|)\)
jrms	\(\left<\jv^2\right>^{1/2}\)
hjrms	\(\left<\jv^2\right>^{1/2}\)
jmax	\(\max(|\jv|)\)
vArms	\(\left<\Bv^2/\varrho\right>^{1/2}\)
vAmax	\(\max(\Bv^2/\varrho)^{1/2}\)
dtb	\(\delta t / [c_{\delta t}\,\delta x /v_{\mathrm A,max}]\) \(\quad\) (time step relative to Alfv{'e}n time step; see S~ref{time-step})
dteta	\(\delta t/[c_{\delta t,{\mathrm v}}\, \delta x^2/\eta_{\mathrm max}]\) \(\quad\) (time step relative to resistive time step; see S~ref{time-step})
axm
aym
azm
a2m	\(\left<\Av^2\right>\)
arms	\(\left<\Av^2\right>^{1/2}\)
amax	\(\max(|\Av|)\)
divarms	\(\langle(\nabla\cdot\Av)^2\rangle^{1/2}\)
beta1m	\(\left<\Bv^2/(2\mu_0 p)\right>\) \(\quad\) (mean inverse plasma beta)
beta1max	\(\max[\Bv^2/(2\mu_0 p)]\) \(\quad\) (maximum inverse plasma beta)
betam	\(\langle\beta\rangle\)
betamax	\(\max\beta\)
betamin	\(\min\beta\)
bxm	\(\left<B_x\right>\)
bym	\(\left<B_y\right>\)
bzm	\(\left<B_z\right>\)
bxbym	\(\left<B_x B_y\right>\)
bxbzm
bybzm
djuidjbim
bmx	\(\left<\left<\Bv\right>_{yz}^2 \right>^{1/2}\) \(\quad\) (energy of \(yz\) -averaged mean field)
bmy	\(\left<\left<\Bv\right>_{xz}^2 \right>^{1/2}\) \(\quad\) (energy of \(xz\) -averaged mean field)
bmz	\(\left<\left<\Bv\right>_{xy}^2 \right>^{1/2}\) \(\quad\) (energy of \(xy\) -averaged mean field)
bmzS2	\(\left<\left<\Bv_S\right>_{xy}^2\right>\)
bmzA2	\(\left<\left<\Bv_A\right>_{xy}^2\right>\)
jmx	\(\left<\left<\Jv\right>_{yz}^2 \right>^{1/2}\) \(\quad\) (energy of \(yz\) -averaged mean current density)
jmy	\(\left<\left<\Jv\right>_{xz}^2 \right>^{1/2}\) \(\quad\) (energy of \(xz\) -averaged mean current density)
jmz	\(\left<\left<\Jv\right>_{xy}^2 \right>^{1/2}\) \(\quad\) (energy of \(xy\) -averaged mean current density)
bmzph	Phase of a Beltrami field
bmzphe	Error of phase of a Beltrami field
bsinphz	sine of phase of a Beltrami field
bcosphz	cosine of phase of a Beltrami field
emxamz3	\(\left<\left<\Ev\right>_{xy}\times\left<\Av\right>_{xy} \right>\) \(\quad\) (\(xy\) -averaged mean field helicity flux)
embmz	\(\left<\left<\Ev\right>_{xy}\cdot\left<\Bv\right>_{xy} \right>\) \(\quad\) (\(xy\) -averaged mean field helicity production )
ambmz	\(\left<\left<\Av\right>_{xy}\cdot\left<\Bv\right>_{xy}\right>\) \(\quad\) (magnetic helicity of \(xy\) -averaged mean field)
ambmzh	\(\left<\left<\Av\right>_{xy}\cdot\left<\Bv\right>_{xy}\right>\) \(\quad\) (magnetic helicity of \(xy\) -averaged mean field, temp)
ambmzn	\(\left<\left<\Av\right>_{xy}\cdot\left<\Bv\right>_{xy}\right>\) \(\quad\) (magnetic helicity of \(xy\) -averaged mean field, north)
ambmzs	\(\left<\left<\Av\right>_{xy}\cdot\left<\Bv\right>_{xy}\right>\) \(\quad\) (magnetic helicity of \(xy\) -averaged mean field, south)
jmbmz	\(\left<\left<\Jv\right>_{xy}\cdot\left<\Bv\right>_{xy} \right>\) \(\quad\) (current helicity of \(xy\) -averaged mean field)
kx_aa	\(k_x\)
kmz	\(\left<\left<\Jv\right>_{xy}\cdot\left<\Bv\right>_{xy}\right>/ \left<\left<\Bv\right>_{xy}^2\right>\)
bx2m	\(\left< B_x^2 \right>\)
by2m	\(\left< B_y^2 \right>\)
bz2m	\(\left< B_z^2 \right>\)
uxbm	\(\left<\uv\times\Bv\right>\cdot\Bv_0/B_0^2\)
jxbm	\(\left<\jv\times\Bv\right>\cdot\Bv_0/B_0^2\)
magfricmax	Magneto-Frictional velocity \(\left<\jv\times\Bv\right>\cdot\Bv^2\)
oxuxbm
jxbxbm
gpxbm
uxDxuxbm
b3b21m	\(\left<B_3 B_{2,1} \right>\)
b3b12m	\(\left<B_3 B_{1,2} \right>\)
b1b32m	\(\left<B_1 B_{3,2} \right>\)
b1b23m	\(\left<B_1 B_{2,3} \right>\)
b2b13m	\(\left<B_2 B_{1,3} \right>\)
b2b31m	\(\left<B_2 B_{3,1} \right>\)
udotxbm
uxbdotm
uxbmx	\(\left<(\uv\times\Bv)_x\right>\)
uxbmy	\(\left<(\uv\times\Bv)_y\right>\)
uxbmz	\(\left<(\uv\times\Bv)_z\right>\)
jxbmx	\(\left<(\jv\times\Bv)_x\right>\)
jxbmy	\(\left<(\jv\times\Bv)_y\right>\)
jxbmz	\(\left<(\jv\times\Bv)_z\right>\)
uxbcmx
uxbcmy
uxbsmx
uxbsmy
examx	\(\left<\Ev\times\Av\right>|_x\)
examy	\(\left<\Ev\times\Av\right>|_y\)
examz	\(\left<\Ev\times\Av\right>|_z\)
exjmx	\(\left<\Ev\times\Jv\right>|_x\)
exjmy	\(\left<\Ev\times\Jv\right>|_y\)
exjmz	\(\left<\Ev\times\Jv\right>|_z\)
dexbmx	\(\left<\nabla\times\Ev\times\Bv\right>|_x\)
dexbmy	\(\left<\nabla\times\Ev\times\Bv\right>|_y\)
dexbmz	\(\left<\nabla\times\Ev\times\Bv\right>|_z\)
phibmx	\(\left<\phi\Bv\right>|_x\)
phibmy	\(\left<\phi\Bv\right>|_y\)
phibmz	\(\left<\phi\Bv\right>|_z\)
uxjm
b2divum	\(\left<\Bv^2\nabla\cdot\uv\right>\)
ujxbm	\(\left<\uv\cdot(\Jv\times\Bv)\right>\)
jxbrxm
jxbrym
jxbrzm
jxbrmax	\(\max(|\Jv\times\Bv/\rho|)\)
jxbr2m	\(\left<(\Jv\times\Bv/\rho)^2\right>\)
uxBrms
Bresrms
Rmrms
jfm
brbpmr
vA2m
b2mr
brmr
bpmr
bzmr
armr
apmr
azmr
mflux_x
mflux_y
mflux_z
bmxy_rms	\(\sqrt{[\left<b_x\right>_z(x,y)]^2 + [\left<b_y\right>_z(x,y)]^2 + [\left<b_z\right>_z(x,y)]^2}\)
etasmagm	Mean of Smagorinsky resistivity
etasmagmin	Min of Smagorinsky resistivity
etasmagmax	Max of Smagorinsky resistivity
etavamax	Max of artificial resistivity \(\eta\sim v_A\)
etajmax	Max of artificial resistivity \(\eta\sim J / \sqrt{\rho}\)
etaj2max	Max of artificial resistivity \(\eta\sim J^2 / \rho\)
etajrhomax	Max of artificial resistivity \(\eta\sim J / \rho\)
cosjbm	\(\left<\Jv\cdot\Bv/(|\Jv|\,|\Bv|)\right>\)
coshjbm
jparallelm	Mean value of the component of J parallel to B
jperpm	Mean value of the component of J perpendicular to B
hjparallelm	Mean value of the component of \(J_{\mathrm hyper}\) parallel to B
hjperpm	Mean value of the component of \(J_{\mathrm hyper}\) perpendicular to B
brmsx	\(\left<\Bv^2\right>^{1/2}\) for the magnetic_xaver_range
brmsz	\(\left<\Bv^2\right>^{1/2}\) for the magnetic_zaver_range
Exmxy	\(\left<{\cal E}_x\right>_{z}\)
Eymxy	\(\left<{\cal E}_y\right>_{z}\)
Ezmxy	\(\left<{\cal E}_z\right>_{z}\)

Module experimental/particles_dust_brdeplete.f90

Variable	Meaning
xpm	\(x_{part}\)
xp2m	\(x^2_{part}\)
vrelpabsm	\(\mathrm{Absolute value of mean relative velocity}\)
vpxm	\(u_{part}\)
vpx2m	\(u^2_{part}\)
ekinp	\(E_{kin,part}\)
vpxmax	\(MAX(u_{part})\)
vpxmin	\(MIN(u_{part})\)
npm	\(\mathrm{mean particle number density}\)

Module experimental/solid_cells_CGEO.f90

Variable	Meaning
c_dragx
c_dragy
c_dragz
c_dragx_p
c_dragy_p
c_dragz_p
Nusselt

Module experimental/solid_cells_reactive.f90

Variable	Meaning
c_dragx
c_dragy
c_dragz
c_dragx_p
c_dragy_p
c_dragz_p
Nusselt

Module experimental/test_chemistry.f90

Variable	Meaning
Ym	\(\left<Y_x\right>\)
dYm	\(\delta\left<Y_x\right>/\delta t\)
dYmax	\(max\delta\left<Y_x\right>/\delta t\)
Ymax	\(\left<Y_{x,max}\right>\)
Ymin	\(\left<Y_{x,min}\right>\)
hm	\(\left<H_{x,max}\right>\)
cpm	\(\left<c_{p,x}\right>\)
diffm	\(\left<D_{x}\right>\)
Ymz	\(\left<Y_x\right>_{xy}(z)\)
dtchem	\(dt_{chem}\)

Module experimental/testperturb.f90

Variable	Meaning
alp11	\(\alpha_{11}\)
alp21	\(\alpha_{21}\)
alp31	\(\alpha_{31}\)
alp12	\(\alpha_{12}\)
alp22	\(\alpha_{22}\)
alp32	\(\alpha_{32}\)
eta11	\(\eta_{113}k\)
eta21	\(\eta_{213}k\)
eta31	\(\eta_{313}k\)
eta12	\(\eta_{123}k\)
eta22	\(\eta_{223}k\)
eta32	\(\eta_{323}k\)

Module inactive/gravitational_waves_hTXk_no_xpara.f90

Variable	Meaning
g11pt	\(g_{11}(x_1,y_1,z_1,t)\)
g22pt	\(g_{22}(x_1,y_1,z_1,t)\)
g33pt	\(g_{33}(x_1,y_1,z_1,t)\)
g12pt	\(g_{12}(x_1,y_1,z_1,t)\)
g23pt	\(g_{23}(x_1,y_1,z_1,t)\)
g31pt	\(g_{31}(x_1,y_1,z_1,t)\)
hhTpt	\(h_{T}(x_1,y_1,z_1,t)\)
hhXpt	\(h_{X}(x_1,y_1,z_1,t)\)
ggTpt	\(\dot{h}_{T}(x_1,y_1,z_1,t)\)
ggXpt	\(\dot{h}_{X}(x_1,y_1,z_1,t)\)
hhTp2	\(h_{T}(x_1,y_1,z_1,t)\)
hhXp2	\(h_{X}(x_1,y_1,z_1,t)\)
ggTp2	\(\dot{h}_{T}(x_1,y_1,z_1,t)\)
ggXp2	\(\dot{h}_{X}(x_1,y_1,z_1,t)\)
hrms	\(\bra{h_T^2+h_X^2}^{1/2}\)
EEGW	\(\bra{g_T^2+g_X^2}\,c^2/(32\pi G)\)
gg2m	\(\bra{g_T^2+g_X^2}\)
hhT2m	\(\bra{h_T^2}\)
hhX2m	\(\bra{h_X^2}\)
hhTXm	\(\bra{h_T h_X}\)
ggT2m	\(\bra{g_T^2}\)
ggX2m	\(\bra{g_X^2}\)
ggTXm	\(\bra{g_T g_X}\)

Module inactive/testfield_xz.f90

Variable	Meaning
E111z	\({\cal E}_1^{11}\)
E211z	\({\cal E}_2^{11}\)
E311z	\({\cal E}_3^{11}\)
E121z	\({\cal E}_1^{21}\)
E221z	\({\cal E}_2^{21}\)
E321z	\({\cal E}_3^{21}\)
alp11	\(\alpha_{11}\)
alp21	\(\alpha_{21}\)
eta11	\(\eta_{113}k\)
eta21	\(\eta_{213}k\)
b11rms	\(\left<b_{11}^2\right>\)
b21rms	\(\left<b_{21}^2\right>\)

Module magnetic/maxwell.f90

Variable	Meaning
aa2m	\(\langle A^2\rangle\)
ee2m	\(\langle E^2\rangle\)
EEEM	\(\langle(E^2+B^2)/2\rangle\)
akxpt	\(Akx^{pt}\)
ekxpt	\(Ekx^{pt}\)
sigma	\(\sigma\)
emag	\(\int_V{1\over2\mu_0}\Bv^2\, dV\)
bmax	\(\max(|\Bv|)\)
brms	\(\left<\Bv^2\right>^{1/2}\)
arms	\(\left<\Av^2\right>^{1/2}\)
erms	\(\left<\Ev^2\right>^{1/2}\)
bfrms	\(\left<{\Bv'}^2\right>^{1/2}\)

Module magnetic/meanfield.f90

Variable	Meaning
qsm	\(\left<q_p(\overline{B})\right>\)
qpm	\(\left<q_p(\overline{B})\right>\)
qem	\(\left<q_e(\overline{B})\right>\) , in the paper referred to as \(\left<q_g(\overline{B})\right>\)
qam	\(\left<q_a(\overline{B})\right>\)
alpm	\(\left<\alpha\right>\) !(where is this implemented?)
etatm	\(\left<\eta_{\mathrm t}\right>\)
EMFmz1	\(\left<{\cal E}\right>_{xy}|_x\)
EMFmz2	\(\left<{\cal E}\right>_{xy}|_y\)
EMFmz3	\(\left<{\cal E}\right>_{xy}|_z\)
EMFdotBm	\(\left<{\cal E}\cdot\Bv \right>\)
EMFdotB_int	\(\int{\cal E}\cdot\Bv dV\)
alpKjbm	\(\left<\alpha_\mathrm{K}\overline{\Bv}\cdot\overline{\Jv}\right>\)
alpKm	\(\left<\alpha_\mathrm{K}\right>\)

Module magnetic/meanfield_demfdt.f90

Variable	Meaning
EMFrms	\((\left<{\cal E}\right>)_{\mathrm rms}\)
EMFmax	\(\max(\left<{\cal E}\right>)\)
EMFmin	\(\min(\left<{\cal E}\right>)\)

Module obsolete/density_anelastic.f90

Variable	Meaning
rhom	\(\left<\varrho\right>\) \(\quad\) (mean density)
rho2m
lnrho2m
drho2m
drhom
rhomin
rhomax
ugrhom	\(\left<\uv\cdot\nabla\varrho\right>\)
uglnrhom
dtd
rhomz
rhomy
rhomx
rhomxy
rhomxz
rhomr
totmass
mass	\(\int\varrho\,dV\)
divrhoum	\(\left<\nabla\cdot(\varrho\uv)\right>\)
divrhourms	\(\left|\nabla\cdot(\varrho\uv)\right|_{\mathrm rms}\)
divrhoumax	\(\left|\nabla\cdot(\varrho\uv)\right|_{\mathrm max}\)

Module obsolete/magnetic_axisym.f90

Variable	Meaning
aphi2m	\(\left<A_\phi^2\right>\)
bphi2m	\(\left<B_\phi^2\right>\)
bpol2m	\(\left<B_p^2\right>\)

Module obsolete/magnetic_old.f90

Variable	Meaning
ab_int	\(\int\Av\cdot\Bv\;dV\)
jb_int	\(\int\jv\cdot\Bv\;dV\)
b2tm	\(\left<\bv(t)\cdot\int_0^t\bv(t') dt'\right>\)
bjtm	\(\left<\bv(t)\cdot\int_0^t\jv(t') dt'\right>\)
jbtm	\(\left<\jv(t)\cdot\int_0^t\bv(t') dt'\right>\)
b2ruzm	\(\left<\Bv^2\rho u_z\right>\)
b2uzm	\(\left<\Bv^2u_z\right>\)
ubbzm	\(\left<(\uv\cdot\Bv)B_z\right>\)
b1m	\(\left<|\Bv|\right>\)
b2m	\(\left<\Bv^2\right>\)
bm2	\(\max(\Bv^2)\)
j2m	\(\left<\jv^2\right>\)
jm2	\(\max(\jv^2)\)
abm	\(\left<\Av\cdot\Bv\right>\)
abumx	\(\left<u_x\Av\cdot\Bv\right>\)
abumy	\(\left<u_y\Av\cdot\Bv\right>\)
abumz	\(\left<u_z\Av\cdot\Bv\right>\)
abmh	\(\left<\Av\cdot\Bv\right>\) (temp)
abmn	\(\left<\Av\cdot\Bv\right>\) (north)
abms	\(\left<\Av\cdot\Bv\right>\) (south)
abrms	\(\left<(\Av\cdot\Bv)^2\right>^{1/2}\)
ajm	\(\left<\jv\cdot\Av\right>\)
jbm	\(\left<\jv\cdot\Bv\right>\)
jbmh	\(\left<\Av\cdot\Bv\right>\) (temp)
jbmn	\(\left<\Av\cdot\Bv\right>\) (north)
jbms	\(\left<\Av\cdot\Bv\right>\) (south)
ubm	\(\left<\uv\cdot\Bv\right>\)
dubrms	\(\left<(\uv-\Bv)^2\right>^{1/2}\)
dobrms	\(\left<(\boldsymbol{\omega}-\Bv)^2\right>^{1/2}\)
uxbxm	\(\left<u_xB_x\right>\)
uybym	\(\left<u_yB_y\right>\)
uzbzm	\(\left<u_zB_z\right>\)
cosubm	\(\left<\Uv\cdot\Bv/(|\Uv|\,|\Bv|)\right>\)
uam	\(\left<\uv\cdot\Av\right>\)
ujm	\(\left<\uv\cdot\Jv\right>\)
fbm	\(\left<\fv\cdot\Bv\right>\)
fxbxm	\(\left<f_x B_x\right>\)
epsM	\(\left<2\eta\mu_0\jv^2\right>\)
epsAD	\(\left<\rho^{-1} t_{\mathrm AD} (\vec{J}\times\vec{B})^2\right>\) (heating by ion-neutrals friction)
bxpt	\(B_x(x_0,y_0,z_0,t)\)
bypt	\(B_y(x_0,y_0,z_0,t)\)
bzpt	\(B_z(x_0,y_0,z_0,t)\)
Expt	\({\cal E}_x(x_0,y_0,z_0,t)\)
Eypt	\({\cal E}_y(x_0,y_0,z_0,t)\)
Ezpt	\({\cal E}_z(x_0,y_0,z_0,t)\)
epsM_LES
aybym2
exaym2
exabot	\(\int\Ev\times\Av\,dS|_{\mathrm bot}\)
exatop	\(\int\Ev\times\Av\,dS|_{\mathrm top}\)
exjm2
emag	\(\int_V{1\over2\mu_0}\Bv^2\, dV\)
brms	\(\left<\Bv^2\right>^{1/2}\)
bmax	\(\max(|\Bv|)\)
bxmin	\(\min(|B_x|)\)
bymin	\(\min(|B_y|)\)
bzmin	\(\min(|B_z|)\)
bxmax	\(\max(|B_x|)\)
bymax	\(\max(|B_y|)\)
bzmax	\(\max(|B_z|)\)
jrms	\(\left<\jv^2\right>^{1/2}\)
jmax	\(\max(|\jv|)\)
vArms	\(\left<\Bv^2/\varrho\right>^{1/2}\)
vAmax	\(\max(\Bv^2/\varrho)^{1/2}\)
dtb	\(\delta t / [c_{\delta t}\,\delta x /v_{\mathrm A,max}]\) \(\quad\) (time step relative to Alfv{'e}n time step; see S~ref{time-step})
dteta	\(\delta t/[c_{\delta t,{\mathrm v}}\, \delta x^2/\eta_{\mathrm max}]\) \(\quad\) (time step relative to resistive time step; see S~ref{time-step})
axm
aym
azm
arms
amax
beta1m	\(\left<\Bv^2/(2\mu_0 p)\right>\) \(\quad\) (mean inverse plasma beta)
beta1max	\(\max[\Bv^2/(2\mu_0 p)]\) \(\quad\) (maximum inverse plasma beta)
bxm	\(\left<\left<B\right>_{yz}^2\right>_x^{1/2}\)
bym	\(\left<\left<B\right>_{zx}^2\right>_y^{1/2}\)
bzm	\(\left<\left<B\right>_{xy}^2\right>_z^{1/2}\)
bx2m	\(\left<B_x^2\right>\)
by2m	\(\left<B_y^2\right>\)
bz2m	\(\left<B_z^2\right>\)
bx2mx	\(\left<B_x^2\right>_{yz}\)
by2mx	\(\left<B_y^2\right>_{yz}\)
bz2mx	\(\left<B_z^2\right>_{yz}\)
bxbym	\(\left<B_x B_y\right>\)
bxbymx	\(\left<B_x B_y\right>_{yz}\)
bxbzm
bybzm
djuidjbim
bxbymy
bxbzmy
bybzmy
bxbymz
bxbzmz
bybzmz
b2mz
axmz	\(\left<{\cal A}_x\right>_{xy}\)
aymz	\(\left<{\cal A}_y\right>_{xy}\)
azmz	\(\left<{\cal A}_z\right>_{xy}\)
abuxmz	\(\left<(\Av \cdot \Bv) u_x \right>_{xy}\)
abuymz	\(\left<(\Av \cdot \Bv) u_y \right>_{xy}\)
abuzmz	\(\left<(\Av \cdot \Bv) u_z \right>_{xy}\)
uabxmz	\(\left<(\uv \cdot \Av) B_x \right>_{xy}\)
uabymz	\(\left<(\uv \cdot \Av) B_y \right>_{xy}\)
uabzmz	\(\left<(\uv \cdot \Av) B_z \right>_{xy}\)
bbxmz	\(\left<{\cal B}'_x\right>_{xy}\)
bbymz	\(\left<{\cal B}'_y\right>_{xy}\)
bbzmz	\(\left<{\cal B}'_z\right>_{xy}\)
bxmz	\(\left<{\cal B}_x\right>_{xy}\)
bymz	\(\left<{\cal B}_y\right>_{xy}\)
bzmz	\(\left<{\cal B}_z\right>_{xy}\)
jxmz	\(\left<{\cal J}_x\right>_{xy}\)
jymz	\(\left<{\cal J}_y\right>_{xy}\)
jzmz	\(\left<{\cal J}_z\right>_{xy}\)
Exmz	\(\left<{\cal E}_x\right>_{xy}\)
Eymz	\(\left<{\cal E}_y\right>_{xy}\)
Ezmz	\(\left<{\cal E}_z\right>_{xy}\)
bmx	\(\left<\left<\Bv\right>_{yz}^2 \right>^{1/2}\) \(\quad\) (energy of \(yz\) -averaged mean field)
bmy	\(\left<\left<\Bv\right>_{xz}^2 \right>^{1/2}\) \(\quad\) (energy of \(xz\) -averaged mean field)
bmz	\(\left<\left<\Bv\right>_{xy}^2 \right>^{1/2}\) \(\quad\) (energy of \(xy\) -averaged mean field)
bmzS2	\(\left<\left<\Bv_S\right>_{xy}^2\right>\)
bmzA2	\(\left<\left<\Bv_A\right>_{xy}^2\right>\)
jmx	\(\left<\left<\Jv\right>_{yz}^2 \right>^{1/2}\) \(\quad\) (energy of \(yz\) -averaged mean current density)
jmy	\(\left<\left<\Jv\right>_{xz}^2 \right>^{1/2}\) \(\quad\) (energy of \(xz\) -averaged mean current density)
jmz	\(\left<\left<\Jv\right>_{xy}^2 \right>^{1/2}\) \(\quad\) (energy of \(xy\) -averaged mean current density)
bmzph	Phase of a Beltrami field
bmzphe	Error of phase of a Beltrami field
bsinphz	sine of phase of a Beltrami field
bcosphz	cosine of phase of a Beltrami field
emxamz3	\(\left<\left<\Ev\right>_{xy}\times\left<\Av\right>_{xy} \right>\) \(\quad\) (\(xy\) -averaged mean field helicity flux)
embmz	\(\left<\left<\Ev\right>_{xy}\cdot\left<\Bv\right>_{xy} \right>\) \(\quad\) (\(xy\) -averaged mean field helicity production )
ambmz	\(\left<\left<\Av\right>_{xy}\cdot\left<\Bv\right>_{xy}\right>\) \(\quad\) (magnetic helicity of \(xy\) -averaged mean field)
ambmzh	\(\left<\left<\Av\right>_{xy}\cdot\left<\Bv\right>_{xy}\right>\) \(\quad\) (magnetic helicity of \(xy\) -averaged mean field, temp)
ambmzn	\(\left<\left<\Av\right>_{xy}\cdot\left<\Bv\right>_{xy}\right>\) \(\quad\) (magnetic helicity of \(xy\) -averaged mean field, north)
ambmzs	\(\left<\left<\Av\right>_{xy}\cdot\left<\Bv\right>_{xy}\right>\) \(\quad\) (magnetic helicity of \(xy\) -averaged mean field, south)
jmbmz	\(\left<\left<\Jv\right>_{xy}\cdot\left<\Bv\right>_{xy} \right>\) \(\quad\) (current helicity of \(xy\) -averaged mean field)
kx_aa	\(k_x\)
kmz	\(\left<\left<\Jv\right>_{xy}\cdot\left<\Bv\right>_{xy}\right>/ \left<\left<\Bv\right>_{xy}^2\right>\)
bx2my	\(\left< B_x^2 \right>_{xz}\)
by2my	\(\left< B_y^2 \right>_{xz}\)
bz2my	\(\left< B_z^2 \right>_{xz}\)
bx2mz	\(\left< B_x^2 \right>_{xy}\)
by2mz	\(\left< B_y^2 \right>_{xy}\)
bz2mz	\(\left< B_z^2 \right>_{xy}\)
bx2rmz	\(\left< B_x^2/\varrho \right>_{xy}\)
by2rmz	\(\left< B_y^2/\varrho \right>_{xy}\)
bz2rmz	\(\left< B_z^2/\varrho \right>_{xy}\)
jbmz	\(\left<\Jv\cdot\Bv\right>|_{xy}\)
abmz	\(\left<\Av\cdot\Bv\right>|_{xy}\)
uamz	\(\left<\uv\cdot\Av\right>|_{xy}\)
examz1	\(\left<\Ev\times\Av\right>_{xy}|_x\)
examz2	\(\left<\Ev\times\Av\right>_{xy}|_y\)
examz3	\(\left<\Ev\times\Av\right>_{xy}|_z\)
bxmxy	\(\left< B_x \right>_{xy}\)
bymxy	\(\left< B_y \right>_{xy}\)
bzmxy	\(\left< B_z \right>_{xy}\)
jxmxy	\(\left< J_x \right>_{xy}\)
jymxy	\(\left< J_y \right>_{xy}\)
jzmxy	\(\left< J_z \right>_{xy}\)
axmxz	\(\left< A_x \right>_{xz}\)
aymxz	\(\left< A_y \right>_{xz}\)
azmxz	\(\left< A_z \right>_{xz}\)
bxmxz	\(\left< B_x \right>_{xz}\)
bymxz	\(\left< B_y \right>_{xz}\)
bzmxz	\(\left< B_z \right>_{xz}\)
bx2mxz	\(\left< B_x^2 \right>_{xz}\)
by2mxz	\(\left< B_y^2 \right>_{xz}\)
bz2mxz	\(\left< B_z^2 \right>_{xz}\)
bx2mxy	\(\left< B_x^2 \right>_{z}\)
by2mxy	\(\left< B_y^2 \right>_{z}\)
bz2mxy	\(\left< B_z^2 \right>_{z}\)
bxbymxy	\(\left< B_x B_y \right>_{z}\)
bxbzmxy	\(\left< B_x B_z \right>_{z}\)
bybzmxy	\(\left< B_y B_z \right>_{z}\)
bxbymxz	\(\left< B_x B_y \right>_{y}\)
bxbzmxz	\(\left< B_x B_z \right>_{y}\)
bybzmxz	\(\left< B_y B_z \right>_{y}\)
uxbm	\(\left<\uv\times\Bv\right>\cdot\Bv_0/B_0^2\)
jxbm	\(\left<\jv\times\Bv\right>\cdot\Bv_0/B_0^2\)
oxuxbm
jxbxbm
gpxbm
uxDxuxbm
b3b21m	\(\left<B_3 B_{2,1} \right>\)
b1b32m	\(\left<B_1 B_{3,2} \right>\)
b2b13m	\(\left<B_2 B_{1,3} \right>\)
udotxbm
uxbdotm
uxbmx	\(\left<(\uv\times\Bv)_x\right>\)
uxbmy	\(\left<(\uv\times\Bv)_y\right>\)
uxbmz	\(\left<(\uv\times\Bv)_z\right>\)
jxbmx	\(\left<(\jv\times\Bv)_x\right>\)
jxbmy	\(\left<(\jv\times\Bv)_y\right>\)
jxbmz	\(\left<(\jv\times\Bv)_z\right>\)
uxbcmx
uxbcmy
uxbsmx
uxbsmy
examx	\(\left<\Ev\times\Av\right>|_x\)
examy	\(\left<\Ev\times\Av\right>|_y\)
examz	\(\left<\Ev\times\Av\right>|_z\)
exjmx	\(\left<\Ev\times\Jv\right>|_x\)
exjmy	\(\left<\Ev\times\Jv\right>|_y\)
exjmz	\(\left<\Ev\times\Jv\right>|_z\)
dexbmx	\(\left<\nabla\times\Ev\times\Bv\right>|_x\)
dexbmy	\(\left<\nabla\times\Ev\times\Bv\right>|_y\)
dexbmz	\(\left<\nabla\times\Ev\times\Bv\right>|_z\)
phibmx	\(\left<\phi\Bv\right>|_x\)
phibmy	\(\left<\phi\Bv\right>|_y\)
phibmz	\(\left<\phi\Bv\right>|_z\)
uxjm
b2divum	\(\left<\Bv^2\nabla\cdot\uv\right>\)
ujxbm	\(\left<\uv\cdot(\Jv\times\Bv\right>\)
jxbrxm
jxbrym
jxbrzm
jxbr2m	\(\left<(\Jv\times\Bv/\rho)^2\right>\)
jxbrxmx
jxbrymx
jxbrzmx
jxbrxmy
jxbrymy
jxbrzmy
jxbrxmz
jxbrymz
jxbrzmz
uxBrms
Bresrms
Rmrms
jfm
brbpmr
vA2m
b2mr
brmr
bpmr
bzmr
armr
apmr
azmr
bxmx
bymx
bzmx
bxmy
bymy
bzmy
mflux_x
mflux_y
mflux_z
bmxy_rms	\(\sqrt{[\left<b_x\right>_z(x,y)]^2 + [\left<b_y\right>_z(x,y)]^2 + [\left<b_z\right>_z(x,y)]^2}\)
etasmagm	Mean of Smagorinsky resistivity
etasmagmin	Min of Smagorinsky resistivity
etasmagmax	Max of Smagorinsky resistivity
etavamax	Max of artificial resistivity \(\eta\sim v_A\)
etajmax	Max of artificial resistivity \(\eta\sim J / \sqrt{\rho}\)
etaj2max	Max of artificial resistivity \(\eta\sim J^2 / \rho\)
etajrhomax	Max of artificial resistivity \(\eta\sim J / \rho\)
cosjbm	\(\left<\Jv\cdot\Bv/(|\Jv|\,|\Bv|)\right>\)
jparallelm	Mean value of the component of J parallel to B
jperpm	Mean value of the component of J perpendicular to B
Exmxz	\(\left<{\cal E}_x\right>_{y}\)
Eymxz	\(\left<{\cal E}_y\right>_{y}\)
Ezmxz	\(\left<{\cal E}_z\right>_{y}\)
etatotalmx	\(\left<\eta\right>_{yz}\)
etatotalmz	\(\left<\eta\right>_{xy}\)

Module obsolete/special/axionSU2back.f90

Variable	Meaning
Q	\(Q\)
Qdot	\(\dot{Q}\)
Qddot	\(\ddot{Q}\)
chi	\(\chi\)
chidot	\(\dot{\chi}\)
chiddot	\(\ddot{\chi}\)
psi	\(\psi\)
psiL	\(\psi_L\)
psidot	\(\dot\psi\)
psiddot	\(\ddot\psi\)
TR	\(T_R\)
TL	\(T_L\)
TRdot	\(\dot T_R\)
TRddot	\(\ddot T_R\)
imTR	\(\Im T_R\)
psi_anal	\(\psi^{\mathrm anal}\)
TR_anal	\(T_R^{\mathrm anal}\)
TReff2m	\(|T_R|^2_{\mathrm eff}\)
TReff2km	\(k|T_R|^2_{\mathrm eff}\)
TRdoteff2m	\(|T_R\dot{T}_R|_{\mathrm eff}\)
TRdoteff2km	\(k|T_R\dot{T}_R|_{\mathrm eff}\)
TLeff2m	\(|T_R|^2_{\mathrm eff}\)
TLeff2km	\(k|T_R|^2_{\mathrm eff}\)
TLdoteff2m	\(|T_R\dot{T}_R|_{\mathrm eff}\)
TLdoteff2km	\(k|T_R\dot{T}_R|_{\mathrm eff}\)
dgrant_up	\({\cal T}^\chi\)
grand2	\({\cal T}^Q\) (test)
dgrant	\(\dot{\cal T}^\chi\)
fact	\(\Theta(t)\)
k0	\(k0\)
dk	\(dk\)

Module obsolete/visc_smagorinsky.f90

Variable	Meaning
nu_LES	Mean value of Smagorinsky viscosity

Module special/1D_loop.f90

Variable	Meaning
dtchi2	heatconduction
dtrad	radiative loss from RTV
dtspitzer	Spitzer heat conduction time step
qmax	max of heat flux vector
qrms	rms of heat flux vector

Module special/advective_gauge.f90

Variable	Meaning
LamRAm	\(\left<\Lambda_{r\to a}\right>\)
LamRApt	\(\Lambda_{r\to a}(x1,y1,z1)\)
LamRAp2	\(\Lambda_{r\to a}(x2,y2,z2)\)
LamRArms	\(\left<\Lambda_{r\to a}^2\right>^{1/2}\)
LamRAbzm	\(\left<\Lambda_{r\to a} B_z\right>\)
LamRAbzmz	\(\left<\Lambda_{r\to a} B_z\right>_{xy}\)
gLamRAbm	\(\left<\Lambda_{r\to a}\Bv\right>\)
apbrms	\(\left<(\Av'\Bv)^2\right>^{1/2}\)
jxarms	\(\left<(\Jv\times\Av)^2\right>^{1/2}\)
jxaprms	\(\left<(\Jv\times\Av')^2\right>^{1/2}\)
jxgLamRArms	\(\left<(\Jv\times\nabla\Lambda_{r\to a})^2\right>^{1/2}\)
gLamRArms	\(\left<(\nabla\Lambda_{r\to a})^2\right>^{1/2}\)
divabrms	\(\left<[(\nabla\cdot\Av)\Bv]^2\right>^{1/2}\)
divapbrms	\(\left<[(\nabla\cdot\Av')\Bv]^2\right>^{1/2}\)
d2LamRAbrms	\(\left<[(\nabla^2\Lambda_{r\to a})\Bv]^2\right>^{1/2}\)
d2LamRArms	\(\left<[\nabla^2\Lambda_{r\to a}]^2\right>^{1/2}\)
aabm	\(\left<\Av_\mathrm{Adv}\cdot\Bv\right>\)

Module special/ascale_collapse.f90

Variable	Meaning
redshift	redshift \(z\)
Hubble	\(H(a)\)
ascale	\(a\)
lna	\(\ln a\)
tph	\(t_\mathrm{phys}\)

Module special/axionSU2back.f90

Variable	Meaning
a	\(a\)
phi	\(phi\)
phidot	\(phidot\)
H	\(Hubble_parameter\)
Q	\(Q\)
Qdot	\(\dot{Q}\)
Qddot	\(\ddot{Q}\)
chi	\(\chi\)
chidot	\(\dot{\chi}\)
chiddot	\(\ddot{\chi}\)
psi	\(\psi\)
psiL	\(\psi_L\)
psidot	\(\dot\psi\)
psiddot	\(\ddot\psi\)
TR	\(T_R\)
TL	\(T_L\)
uR	\(u_R\)
uL	\(u_L\)
TRdot	\(\dot T_R\)
TRddot	\(\ddot T_R\)
imTR	\(\Im T_R\)
psi_anal	\(\psi^{\mathrm anal}\)
TR_anal	\(T_R^{\mathrm anal}\)
TReff2m	\(|T_R|^2_{\mathrm eff}\)
TReff2km	\(k|T_R|^2_{\mathrm eff}\)
TRdoteff2m	\(|T_R\dot{T}_R|_{\mathrm eff}\)
TRdoteff2km	\(k|T_R\dot{T}_R|_{\mathrm eff}\)
TRpsim	\(\langle T_R^* \psi\rangle\)
TRpsikm	\(\langle T_R^* \psi (k/a)\rangle\)
TRpsidotm	\(\langle T_R^* \psi'\rangle\)
TRdotpsim	\(\langle {T_R^*}' \psi\rangle\)
TLeff2m	\(|T_L|^2_{\mathrm eff}\)
TLeff2km	\(k|T_L|^2_{\mathrm eff}\)
uReff2m	\(|u_R|^2_{\mathrm eff}\)
uReff2km	\(k|u_R|^2_{\mathrm eff}\)
uLeff2m	\(|u_L|^2_{\mathrm eff}\)
uLeff2km	\(k|u_L|^2_{\mathrm eff}\)
TLdoteff2m	\(|T_R\dot{T}_R|_{\mathrm eff}\)
TLdoteff2km	\(k|T_R\dot{T}_R|_{\mathrm eff}\)
dgrant_up	\({\cal T}^\chi\)
grand2	\({\cal T}^Q\) (test)
dgrant	\(\dot{\cal T}^\chi\)
rhoT	\(\rho_T\)
JJ_R	\(J_R\)
JJ_L	\(J_L\)
JJ	\(J\)
fact	\(\Theta(t)\)
k0	\(k0\)
dk	\(dk\)

Module special/axionU1back.f90

Variable	Meaning
a	\(a\)
phi	\(phi\)
phidot	\(phidot\)
H	\(Hubble_parameter\)
AL	\(\dot\psi\)
ALdot	\(\ddot\psi\)
AR	\(T_R\)
ARdot	\(T_L\)
imAR	\(\Im T_R\)
imAL	\(T_R^{\mathrm anal}\)
imARdot	\(\Im T_R\)
k0	\(k0\)
dk	\(dk\)
rhoe	\(rho_e\)
rhob	\(rho_B\)
edotb	\(edotb\)

Module special/backreact_infl.f90

Variable	Meaning
phim	\(\left<\phi\right>\)
phi2m	\(\left<\phi^2\right>\)
phirms	\(\left<\phi^2\right>^{1/2}\)
dphim	\(\left<\phi'\right>\)
dphi2m	\(\left<(\phi')^2\right>\)
dphirms	\(\left<(\phi')^2\right>^{1/2}\)
dtphi	\(dt/cdtphi\)
Hscriptm	\(\left<{\cal a*H}\right>\)
ascale	\(a\)
lnam	\(\left<\ln a\right>\)
ddotam	\(a''/a\)
a2rhopm	\(a^2 (\rho+p)\)
a2rhom	\(a^2 \rho\)
a2rhophim	\(a^2 \rho_\phi\)
a4rhophim	\(a^4 \rho_\phi\)
a2rhogphim	\(0.5 <grad \phi^2>\)
rho_chi	\(\rho_\chi\)
rho_rad	\(\rho_\mathrm{rad}\)
sigEma	\(\rho_\chi\)
sigBma	\(\rho_\chi\)
count_eb0a	\(f_\mathrm{EB0}\)
heating	\(\theta_\mathrm{heat}\)
wstate	\(w_\mathrm{state}\)
wstate_aver	\(\langle w_\mathrm{state}\rangle\)
Gamma_phi	\(\langle w_\mathrm{state}\rangle\)
Gam_phi	\(\langle w_\mathrm{state}\rangle\)

Module special/chiral_mhd.f90

Variable	Meaning
muSm	\(\left<\mu_S\right>\)
muSrms	\(\left<\mu_S^2\right>^{1/2}\)
muSmax	\(\max\mu\)
mu5m	\(\left<\mu_5\right>\)
mu51m	\(\left<|\mu_5|\right>\)
mu53m	\(\left<\mu_5^3\right>\)
mu54m	\(\left<\mu_5^4\right>\)
mu5rms	\(\left<\mu_5^2\right>^{1/2}\)
mu5min	\(\min\mu_5\)
mu5max	\(\max\mu_5\)
mu5abs	\(\max|\mu_5|\)
srce5m	\(\left<S_5\right>\)
gamf5m	\(\left<\Gamma_5\right>\)
gmu5rms	\(\left<(\nabla\mu_5)^2\right>^{1/2}\)
gmuSrms	\(\left<(\nabla\mu_S)^2\right>^{1/2}\)
gmu5mx	\(\left<\nabla\mu_5\right>_x\)
gmu5my	\(\left<\nabla\mu_5\right>_y\)
gmu5mz	\(\left<\nabla\mu_5\right>_z\)
bgmu5rms	\(\left<(\Bv\cdot\nabla\mu_5)^2\right>^{1/2}\)
bgmuSrms	\(\left<(\Bv\cdot\nabla\mu_S)^2\right>^{1/2}\)
mu5bjm	\(\left<\mu_5 ((\nabla\times\Bv)\cdot\Bv) \right>\)
mu5bjrms	\(\left<(\mu_5 ((\nabla\times\Bv)\cdot\Bv))^2 \right>^{1/2}\)
dt_lambda5	\(\mathrm{min}(\mu_5/\Bv^2) \delta x/(\lambda \eta)\)
dt_D5	\((\lambda \eta \mathrm{max}(\Bv^2))^{-1}\)
dt_gammaf5	\(1/\Gamma_\mathrm{f}\)
dt_CMW	\(\delta x/((C_\mu C_5)^{1/2} \mathrm{max}(|\Bv|))\)
dt_Dmu	\((\lambda \eta \mathrm{min}(\Bv^2))^{-1}\)
dt_vmu	\(\delta x /(\eta \mathrm{max}(|\mu_5 |))\)
dt_chiral	total time-step contribution from chiral MHD
mu5bxm	\(\left<\mu_5B_x\right>\)
mu5b2m	\(\left<\mu_5B^2\right>\)
mu5jbm	\(\left<\mu_5\Jv\cdot\Bv\right>\)
jxm	\(\langle J_x\rangle\)
Dmu5_tdep	\(D(t)\)

Module special/collapse.f90

Variable	Meaning
betm	\(\left<\beta\right>\)
massm	\(\left<m\right>\)

Module special/coronae.f90

Variable	Meaning
dtchi2	\(\delta t / [c_{\delta t,{\mathrm v}}\, \delta x^2/\chi_{\mathrm max}]\) \(\quad\) (time step relative to time step based on heat conductivity; see S~ref{time-step})
dtspitzer	Spitzer heat conduction time step
dtrad	radiative loss from RTV

Module special/disp_current.f90

Variable	Meaning
EEEM	\(\left<\Ev^2+\Bv^2\right>/2\)
erms	\(\left<\Ev^2\right>^{1/2}\)
eprimerms	\(\left<(E')^2\right>^{1/2}\)
bprimerms	\(\left<(B')^2\right>^{1/2}\)
jprimerms	\(\left<(J')^2\right>^{1/2}\)
gam_EBrms	\(\left<(\gamma')^2\right>^{1/2}\)
boostprms	\(\left<\mbox{boost}^2\right>^{1/2}\)
edotrms	\(\left<\dot{\Ev}^2\right>^{1/2}\)
emax	\(\max(|\Ev|)\)
a0rms	\(\left<A_0^2\right>^{1/2}\)
grms	\(\left<C-\nabla\cdot\Av\right>^{1/2}\)
da0rms	\(\left<C-\nabla\cdot\Av\right>^{1/2}\)
BcurlEm	\(\left<\Bv\cdot\nabla\times\Ev\right>\)
divJrms	\(\left<\nab\Jv^2\right>^{1/2}\)
divErms	\(\left<\nab\Ev^2\right>^{1/2}\)
rhoerms	\(\left<\rho_e^2\right>^{1/2}\)
divJm	\(\left<\nab\Jv\right>\)
divEm	\(\left<\nab\Ev\right>\)
rhoem	\(\left<\rho_e\right>\)
count_eb0	\(f_\mathrm{EB0}\)
mfpf	\(-f'/f\)
fppf	\(f''/f\)
afact	\(a\) (scale factor)
constrainteqn	\(<deldotE+>\)
exm	\(\left<E_x\right>\)
eym	\(\left<E_y\right>\)
ezm	\(\left<E_z\right>\)
etaSchw	\(1/\left<\sigma_\mathrm{E}\right>\)
dteta	\(dt/cdtv\)
dtsigE	\(dt/cdt\_sigE\)
sigEm	\(\left<\sigma_\mathrm{E}\right>\)
sigBm	\(\left<\sigma_\mathrm{B}\right>\)
sigErms	\(\left<\sigma_\mathrm{E}^2\right>^{1/2}\)
sigBrms	\(\left<\sigma_\mathrm{B}^2\right>^{1/2}\)
sigEE2m	\(\left<\sigma_\mathrm{E}\Ev^2\right>\)
sigBBEm	\(\left<\sigma_\mathrm{E}\Bv\cdot\Ev\right>\)
adphiBm	\(\left<(\alpha/f)<\phi'\Bv\cdot\Ev\right>\)
adphiBrms	\(\left<[(\alpha/f)<\phi'\Bv]\right>^{1/2}\)
Johmrms	\(\left<\Jv^2\right>^{1/2}\)
J2sigEm	\(\left<\Jv^2/\sigma_E\right>\)
ujxb1m	\(\left<\uv\cdot(\Jv\times\Bv)_E\right>\)
curlBrms	\(\left<(\mathrm{curl}\Bv)^2\right>^{1/2}\)
echarge	\(\left<e_\mathrm{eff}\right>\)
ebm	\(\left<\Ev\cdot\Bv\right>\)

Module special/electroweaksu2.f90

Variable	Meaning
W1rms	\(\left<{\Wv^1}^2\right>^{1/2}\)
W2rms	\(\left<{\Wv^2}^2\right>^{1/2}\)
W3rms	\(\left<{\Wv^3}^2\right>^{1/2}\)
W1max	\(\max(|\Wv^1|)\)
W2max	\(\max(|\Wv^2|)\)
W3max	\(\max(|\Wv^3|)\)
dW1rms	\(\left<{{\dot{\Wv}}_1}^2\right>^{1/2}\)
dW2rms	\(\left<{{\dot{\Wv}}_2}^2\right>^{1/2}\)
dW3rms	\(\left<{{\dot{\Wv}}_3}^2\right>^{1/2}\)
dW1max	\(\max(|\dot{\Wv}_1|)\)
dW2max	\(\max(|\dot{\Wv}_2|)\)
dW3max	\(\max(|\dot{\Wv}_3|)\)
W1ddotrms	\(\left<{\ddot{\Wv}_1}^2\right>^{1/2}\)
W2ddotrms	\(\left<{\ddot{\Wv}_2}^2\right>^{1/2}\)
W3ddotrms	\(\left<{\ddot{\Wv}_3}^2\right>^{1/2}\)
divW1rms	\(\left<{\nab{\Wv}_1}^2\right>^{1/2}\)
divW2rms	\(\left<{\nab{\Wv}_2}^2\right>^{1/2}\)
divW3rms	\(\left<{\nab{\Wv}_3}^2\right>^{1/2}\)
divW1m	\(\left<\nab{\Wv}_1\right>\)
divW2m	\(\left<\nab{\Wv}_2\right>\)
divW3m	\(\left<\nab{\Wv}_3\right>\)
divdotW1rms	\(\left<{\nab\dot{\Wv}_1}^2\right>^{1/2}\)
divdotW2rms	\(\left<{\nab\dot{\Wv}_2}^2\right>^{1/2}\)
divdotW3rms	\(\left<{\nab\dot{\Wv}_3}^2\right>^{1/2}\)
rhoW1rms	\(\left<{\rho_{\Wv_1}}^2\right>^{1/2}\)
rhoW2rms	\(\left<{\rho_{\Wv_2}}^2\right>^{1/2}\)
rhoW3rms	\(\left<{\rho_{\Wv_3}}^2\right>^{1/2}\)
divdotW1m	\(\left<\nab\dot\Wv_1\right>\)
divdotW2m	\(\left<\nab\dot\Wv_2\right>\)
divdotW3m	\(\left<\nab\dot\Wv_3\right>\)
rhoW1m	\(\left<\rho_e\Wv_1\right>\)
rhoW2m	\(\left<\rho_e\Wv_2\right>\)
rhoW3m	\(\left<\rho_e\Wv_3\right>\)
constrainteqnW	\(<deldotW+>\)
W1xm	\(\left<W_x^1\right>\)
W1ym	\(\left<W_y^1\right>\)
W1zm	\(\left<W_z^1\right>\)
W2xm	\(\left<W_x^2\right>\)
W2ym	\(\left<W_y^2\right>\)
W2zm	\(\left<W_z^2\right>\)
W3xm	\(\left<W_x^3\right>\)
W3ym	\(\left<W_y^3\right>\)
W3zm	\(\left<W_z^3\right>\)
dW1xm	\(\left<\dot{W}^1_x\right>\)
dW1ym	\(\left<\dot{W}^1_y\right>\)
dW1zm	\(\left<\dot{W}^1_z\right>\)
dW2xm	\(\left<\dot{W}^2_x\right>\)
dW2ym	\(\left<\dot{W}^2_y\right>\)
dW2zm	\(\left<\dot{W}^2_z\right>\)
dW3xm	\(\left<\dot{W}^3_x\right>\)
dW3ym	\(\left<\dot{W}^3_y\right>\)
dW3zm	\(\left<\dot{W}^3_z\right>\)
W1dotW1m	\(\left<\dot{\Wv}_1\cdot{\Wv}_1\right>\)
W2dotW2m	\(\left<\dot{\Wv}_2\cdot{\Wv}_2\right>\)
W3dotW3m	\(\left<\dot{\Wv}_3\cdot{\Wv}_3\right>\)

Module special/gravitational_waves.f90

Variable	Meaning
hhT2m	\(\left<h_{\mathrm T}^2\right>\)
hhX2m	\(\left<h_{\mathrm X}^2\right>\)
hhThhXm	\(\left<h_{\mathrm T}h_{\mathrm X}\right>\)
ggTpt	\(g_{\mathrm T}(x_1,y_1,z_1,t)\)
strTpt	\(S_{\mathrm T}(x_1,y_1,z_1,t)\)
strXpt	\(S_{\mathrm X}(x_1,y_1,z_1,t)\)

Module special/gravitational_waves_hij6.f90

Variable	Meaning
h22rms	\(h_{22}^{\mathrm rms}\)
h33rms	\(h_{33}^{\mathrm rms}\)
h23rms	\(h_{23}^{\mathrm rms}\)
g11pt	\(g_{11}(x_1,y_1,z_1,t)\)
g22pt	\(g_{22}(x_1,y_1,z_1,t)\)
g33pt	\(g_{33}(x_1,y_1,z_1,t)\)
g12pt	\(g_{12}(x_1,y_1,z_1,t)\)
g23pt	\(g_{23}(x_1,y_1,z_1,t)\)
g31pt	\(g_{31}(x_1,y_1,z_1,t)\)
hhTpt	\(h_{T}(x_1,y_1,z_1,t)\)
hhXpt	\(h_{X}(x_1,y_1,z_1,t)\)
ggTpt	\(\dot{h}_{T}(x_1,y_1,z_1,t)\)
ggXpt	\(\dot{h}_{X}(x_1,y_1,z_1,t)\)
hhTp2	\(h_{T}(x_1,y_1,z_1,t)\)
hhXp2	\(h_{X}(x_1,y_1,z_1,t)\)
ggTp2	\(\dot{h}_{T}(x_1,y_1,z_1,t)\)
ggXp2	\(\dot{h}_{X}(x_1,y_1,z_1,t)\)
hrms	\(\bra{h_T^2+h_X^2}^{1/2}\)
EEGW	\(\bra{g_T^2+g_X^2}\,c^2/(32\pi G)\)
gg2m	\(\bra{g_T^2+g_X^2}\)
hhT2m	\(\bra{h_T^2}\)
hhX2m	\(\bra{h_X^2}\)
hhTXm	\(\bra{h_T h_X}\)
ggT2m	\(\bra{g_T^2}\)
ggX2m	\(\bra{g_X^2}\)
ggTXm	\(\bra{g_T g_X}\)
ggTm	\(\bra{g_T}\)
ggXm	\(\bra{g_X}\)
hijij2m	\(\bra{h_{ij,ij}^2}\)
gijij2m	\(\bra{g_{ij,ij}^2}\)

Module special/gravitational_waves_hTXk.f90

Variable	Meaning
STrept	\(Re S_{T}(k_1,k_1,k_1,t)\)
STimpt	\(Im S_{T}(k_1,k_1,k_1,t)\)
SXrept	\(Re S_{X}(k_1,k_1,k_1,t)\)
SXimpt	\(Im S_{X}(k_1,k_1,k_1,t)\)
hTrept	\(Re h_{T}(k_1,k_1,k_1,t)\)
hTimpt	\(Im h_{T}(k_1,k_1,k_1,t)\)
hXrept	\(Re h_{X}(k_1,k_1,k_1,t)\)
hXimpt	\(Im h_{X}(k_1,k_1,k_1,t)\)
gTrept	\(Re h_{T}(k_1,k_1,k_1,t)\)
gTimpt	\(Im h_{T}(k_1,k_1,k_1,t)\)
gXrept	\(Re h_{X}(k_1,k_1,k_1,t)\)
gXimpt	\(Im h_{X}(k_1,k_1,k_1,t)\)
STrep2	\(Re S_{T}(k_2,k_2,k_2,t)\)
STimp2	\(Im S_{T}(k_2,k_2,k_2,t)\)
SXrep2	\(Re S_{X}(k_2,k_2,k_2,t)\)
SXimp2	\(Im S_{X}(k_2,k_2,k_2,t)\)
hTrep2	\(Re h_{T}(k_2,k_2,k_2,t)\)
hTimp2	\(Im h_{T}(k_2,k_2,k_2,t)\)
hXrep2	\(Re h_{X}(k_2,k_2,k_2,t)\)
hXimp2	\(Im h_{X}(k_2,k_2,k_2,t)\)
gTrep2	\(Re g_{T}(k_2,k_2,k_2,t)\)
gTimp2	\(Im g_{T}(k_2,k_2,k_2,t)\)
gXrep2	\(Re g_{X}(k_2,k_2,k_2,t)\)
gXimp2	\(Im g_{X}(k_2,k_2,k_2,t)\)
g11pt	\(g_{11}(x_1,y_1,z_1,t)\)
g22pt	\(g_{22}(x_1,y_1,z_1,t)\)
g33pt	\(g_{33}(x_1,y_1,z_1,t)\)
g12pt	\(g_{12}(x_1,y_1,z_1,t)\)
g23pt	\(g_{23}(x_1,y_1,z_1,t)\)
g31pt	\(g_{31}(x_1,y_1,z_1,t)\)
hhTpt	\(h_{T}(x_1,y_1,z_1,t)\)
hhXpt	\(h_{X}(x_1,y_1,z_1,t)\)
ggTpt	\(\dot{h}_{T}(x_1,y_1,z_1,t)\)
ggXpt	\(\dot{h}_{X}(x_1,y_1,z_1,t)\)
hhTp2	\(h_{T}(x_1,y_1,z_1,t)\)
hhXp2	\(h_{X}(x_1,y_1,z_1,t)\)
ggTp2	\(\dot{h}_{T}(x_1,y_1,z_1,t)\)
ggXp2	\(\dot{h}_{X}(x_1,y_1,z_1,t)\)
hrms	\(\bra{h_T^2+h_X^2}^{1/2}\)
EEGW	\(\bra{g_T^2+g_X^2}\,c^2/(32\pi G)\)
gg2m	\(\bra{g_T^2+g_X^2}\)
Stgm	\(\bra{S_Tg_T+S_Xg_X}\)
hhT2m	\(\bra{h_T^2}\)
hhX2m	\(\bra{h_X^2}\)
hhTXm	\(\bra{h_T h_X}\)
ggT2m	\(\bra{g_T^2}\)
ggX2m	\(\bra{g_X^2}\)
ggTXm	\(\bra{g_T g_X}\)
nlin0	\(\bra{nlin0}\)
nlin1	\(\bra{nlin1}\)
nlin2	\(\bra{nlin2}\)
h11rms	\(\bra{h_{11}^2}^{1/2}\)
h22rms	\(\bra{h_{22}^2}^{1/2}\)
h33rms	\(\bra{h_{33}^2}^{1/2}\)
h12rms	\(\bra{h_{12}^2}^{1/2}\)
h23rms	\(\bra{h_{23}^2}^{1/2}\)
h31rms	\(\bra{h_{31}^2}^{1/2}\)

Module special/klein_gordon.f90

Variable	Meaning
phim	\(\left<\phi\right>\)
phi2m	\(\left<\phi^2\right>\)
phirms	\(\left<\phi^2\right>^{1/2}\)
dphim	\(\left<\phi'\right>\)
dphi2m	\(\left<(\phi')^2\right>\)
dphirms	\(\left<(\phi')^2\right>^{1/2}\)
psim	\(\left<\psi\right>\)
psi2m	\(\left<\psi^2\right>\)
psirms	\(\left<\psi^2\right>^{1/2}\)
dpsim	\(\left<\psi'\right>\)
dpsi2m	\(\left<(\psi')^2\right>\)
dpsirms	\(\left<(\psi')^2\right>^{1/2}\)
Hscriptm	\(\left<{\cal a*H}\right>\)
lnam	\(\left<\ln a\right>\)
Vprimem	\(\left<V_{,\phi}\right>\)
Vprimepsim	\(\left<V_{,\psi}\right>\)
ddotam	\(a''/a\)
a2rhopm	\(a^2 (rho+p)\)
a2rhom	\(a^2 rho\)
a2rhophim	\(a^2 rho\)
a2rhogphim	\(0.5 <grad phi^2>\)
a2rhopsim	\(a^2 rho\)
a2rhogpsim	\(0.5 <grad psi^2>\)
rho_chi	\(\rho_\chi\)
sigEma	\(\rho_\chi\)
sigBma	\(\rho_\chi\)
count_eb0a	\(f_\mathrm{EB0}\)

Module special/Lambda_CDM.f90

Variable	Meaning
redshift	redshift \(z\)
Hubble	\(H(a)\)
ascale	\(a\)
lna	\(\ln a\)
tph	\(t_\mathrm{phys}\)

Module special/lorenz_gauge.f90

Variable	Meaning
phim	\(\left<\phi\right>\)
phipt	\(\phi(x1,y1,z1)\)
phip2	\(\phi(x2,y2,z2)\)
phibzm	\(\left<\phi B_z\right>\)
phibzmz	\(\left<\phi B_z\right>_{xy}\)

Module special/lucky_droplet.f90

Variable	Meaning
rad	\(r/r_\ast\)
tauk	\(\tau_k\)
tt1m	\(\langle T \rangle\)
qq1m	\(\langle \ln T \rangle\)
qq2m	\(\langle \ln T^2 \rangle\)
qq3m	\(\langle \ln T^3 \rangle\)
qq4m	\(\langle \ln T^4 \rangle\)

Module special/radial_dist_func.f90

Variable	Meaning
rad	\(r/r_\ast\)
tauk	\(\tau_k\)
tt1m	\(\langle T \rangle\)
qq1m	\(\langle \ln T \rangle\)
qq2m	\(\langle \ln T^2 \rangle\)
qq3m	\(\langle \ln T^3 \rangle\)
qq4m	\(\langle \ln T^4 \rangle\)

Module special/reaction_0D.f90

Variable	Meaning
eem	\(\langle \eta \rangle\)
ee1m	\(\langle |\eta| \rangle\)
ee2m	\(\langle \eta^2 \rangle\)
ee3m	\(\langle \eta^3 \rangle\)
ee4m	\(\langle \eta^4 \rangle\)
ee10	\(\langle \eta_{10\%} \rangle\)
ee50	\(\langle \eta_{50\%} \rangle\)
ee90	\(\langle \eta_{90\%} \rangle\)
ee99	\(\langle \eta_{99\%} \rangle\)
AAm	\(\langle [A] \rangle\)
DDm	\(\langle [D] \rangle\)
LLm	\(\langle [L] \rangle\)
DLm	\(\langle [D]+[L] \rangle\)
kC	\(k_C\)
A1	\(A_1\)
A2	\(A_2\)
A3	\(A_3\)
A4	\(A_4\)
A5	\(A_5\)
D1	\(D_1\)
D2	\(D_2\)
D3	\(D_3\)
D4	\(D_4\)
D5	\(D_5\)
L1	\(L_1\)
L2	\(L_2\)
L3	\(L_3\)
L4	\(L_4\)
L5	\(L_5\)

Module special/rel_1d.f90

Variable	Meaning
betm	\(\left<\beta\right>\)
betmax	\(\beta_{\max}\)

Module special/schur_triple_decomp.f90

Variable	Meaning
uSH2	\(\left<{u^\mathrm{SH}}^2\right>\)
uRR2	\(\left<{u^\mathrm{RR}}^2\right>\)
uEL2	\(\left<{u^\mathrm{EL}}^2\right>\)
uRRm	\(\left<2u^\mathrm{SH}u^\mathrm{RR}\right>\)
bSH2	\(\left<{b^\mathrm{SH}}^2\right>\)
bRR2	\(\left<{b^\mathrm{RR}}^2\right>\)
bEL2	\(\left<{b^\mathrm{EL}}^2\right>\)
bRRm	\(\left<2b^\mathrm{SH}b^\mathrm{RR}\right>\)

Module special/solar_corona.f90

Variable	Meaning
dtvel	Velocity driver time step
dtnewt	Radiative cooling time step
dtradloss	Radiative losses time step
dtchi2	\(\delta t / [c_{\delta t,{\mathrm v}}\, \delta x^2/\chi_{\mathrm max}]\) \(\quad\) (time step relative to time step based on heat conductivity; see S~ref{time-step})
dtspitzer	Spitzer heat conduction time step
mag_flux	Total vertical magnetic flux at

Module test_methods/testfield_axisym4.f90

Variable	Meaning
alpPERP	\(\alpha_\perp\)
alpPARA	\(\alpha_\perp\)
gam	\(\gamma\)
betPERP	\(\beta_\perp\)
betPERP2	\(\beta_\perp^{(2)}\)
betPARA	\(\beta_\perp\)
del	\(\delta\)
del2	\(\delta^{(2)}\)
kapPERP	\(\kappa_\perp\)
kapPERP2	\(\kappa_\perp^{(2)}\)
kapPARA	\(\kappa_\perp\)
mu	\(\mu\)
mu2	\(\mu^{(2)}\)
alpPERPz	\(\alpha_\perp(z)\)
alpPARAz	\(\alpha_\perp(z)\)
gamz	\(\gamma(z)\)
betPERPz	\(\beta_\perp(z)\)
betPARAz	\(\beta_\perp(z)\)
delz	\(\delta(z)\)
kapPERPz	\(\kappa_\perp(z)\)
kapPARAz	\(\kappa_\perp(z)\)
muz	\(\mu(z)\)
bx1pt	\(b_x^{1}\)
bx2pt	\(b_x^{2}\)
bx3pt	\(b_x^{3}\)
b1rms	\(\left<b_{1}^2\right>^{1/2}\)
b2rms	\(\left<b_{2}^2\right>^{1/2}\)
b3rms	\(\left<b_{3}^2\right>^{1/2}\)

Module test_methods/testfield_compress_z.f90

Variable	Meaning
alp11	\(\alpha_{11}\)
alp21	\(\alpha_{21}\)
alp31	\(\alpha_{31}\)
alp12	\(\alpha_{12}\)
alp22	\(\alpha_{22}\)
alp32	\(\alpha_{32}\)
eta11	\(\eta_{11}k\)
eta21	\(\eta_{21}k\)
eta12	\(\eta_{12}k\)
eta22	\(\eta_{22}k\)
alpK	\(\alpha^K\)
alpM	\(\alpha^M\)
alpMK	\(\alpha^{MK}\)
phi11	\(\phi_{11}\)
phi21	\(\phi_{21}\)
phi12	\(\phi_{12}\)
phi22	\(\phi_{22}\)
phi32	\(\phi_{32}\)
psi11	\(\psi_{11}k\)
psi21	\(\psi_{21}k\)
psi12	\(\psi_{12}k\)
psi22	\(\psi_{22}k\)
sig1	\(\sigma_1\)
sig2	\(\sigma_2\)
sig3	\(\sigma_3\)
tau1	\(\tau_1\)
tau2	\(\tau_2\)
phiK	\(\phi^K\)
phiM	\(\phi^M\)
phiMK	\(\phi^{MK}\)
alp11cc	\(\alpha_{11}\cos^2 kz\)
alp21sc	\(\alpha_{21}\sin kz\cos kz\)
alp12cs	\(\alpha_{12}\cos kz\sin kz\)
alp22ss	\(\alpha_{22}\sin^2 kz\)
eta11cc	\(\eta_{11}\cos^2 kz\)
eta21sc	\(\eta_{21}\sin kz\cos kz\)
eta12cs	\(\eta_{12}\cos kz\sin kz\)
eta22ss	\(\eta_{22}\sin^2 kz\)
s2kzDFm	\(\left<\sin2kz\nabla\cdot F\right>\)
M11	\({\cal M}_{11}\)
M22	\({\cal M}_{22}\)
M33	\({\cal M}_{33}\)
M11cc	\({\cal M}_{11}\cos^2 kz\)
M11ss	\({\cal M}_{11}\sin^2 kz\)
M22cc	\({\cal M}_{22}\cos^2 kz\)
M22ss	\({\cal M}_{22}\sin^2 kz\)
M12cs	\({\cal M}_{12}\cos kz\sin kz\)
bx11pt	\(b_x^{11}\)
bx21pt	\(b_x^{21}\)
bx12pt	\(b_x^{12}\)
bx22pt	\(b_x^{22}\)
bx0pt	\(b_x^{0}\)
by11pt	\(b_y^{11}\)
by21pt	\(b_y^{21}\)
by12pt	\(b_y^{12}\)
by22pt	\(b_y^{22}\)
by0pt	\(b_y^{0}\)
u11rms	\(\left<u_{11}^2\right>^{1/2}\)
u21rms	\(\left<u_{21}^2\right>^{1/2}\)
u12rms	\(\left<u_{12}^2\right>^{1/2}\)
u22rms	\(\left<u_{22}^2\right>^{1/2}\)
h11rms	\(\left<h_{11}^2\right>^{1/2}\)
h21rms	\(\left<h_{21}^2\right>^{1/2}\)
h12rms	\(\left<h_{12}^2\right>^{1/2}\)
h22rms	\(\left<h_{22}^2\right>^{1/2}\)
j11rms	\(\left<j_{11}^2\right>^{1/2}\)
b11rms	\(\left<b_{11}^2\right>^{1/2}\)
b21rms	\(\left<b_{21}^2\right>^{1/2}\)
b12rms	\(\left<b_{12}^2\right>^{1/2}\)
b22rms	\(\left<b_{22}^2\right>^{1/2}\)
ux0m	\(\left<u_{0_x}\right>\)
uy0m	\(\left<u_{0_y}\right>\)
ux11m	\(\left<u_{11_x}\right>\)
uy11m	\(\left<u_{11_y}\right>\)
u0rms	\(\left<u_{0}^2\right>^{1/2}\)
b0rms	\(\left<b_{0}^2\right>^{1/2}\)
h0rms	\(\left<h_{0}^2\right>^{1/2}\)
rho0m	\(\left<\exp h_{0}\right>\)
u0max	\(\operatorname{max}\left|\boldsymbol{u}_{0}\right|\)
b0max	\(\operatorname{max}\left|\boldsymbol{b}_{0}\right|\)
h0max	\(\operatorname{max}h_{0}\)
bhrms	\(\left<b_{h}^2\right>^{1/2}\)
jb0m	\(\left<jb_{0}\right>\)
E11rms	\(\left<{\cal E}_{11}^2\right>^{1/2}\)
E21rms	\(\left<{\cal E}_{21}^2\right>^{1/2}\)
E12rms	\(\left<{\cal E}_{12}^2\right>^{1/2}\)
E22rms	\(\left<{\cal E}_{22}^2\right>^{1/2}\)
E0rms	\(\left<{\cal E}_{0}^2\right>^{1/2}\)
E0mrms	\(\left<{\cal E}_{0}^2\right>^{1/2}\)
E0xrms	\(\left<{\cal E}_{0,x}^2\right>^{1/2}\)
E0yrms	\(\left<{\cal E}_{0,y}^2\right>^{1/2}\)
Ex11pt	\({\cal E}_x^{11}\)
Ex21pt	\({\cal E}_x^{21}\)
Ex12pt	\({\cal E}_x^{12}\)
Ex22pt	\({\cal E}_x^{22}\)
Ex0pt	\({\cal E}_x^{0}\)
Ey11pt	\({\cal E}_y^{11}\)
Ey21pt	\({\cal E}_y^{21}\)
Ey12pt	\({\cal E}_y^{12}\)
Ey22pt	\({\cal E}_y^{22}\)
Ey0pt	\({\cal E}_y^{0}\)
bamp	bamp
E111z	\({\cal E}_1^{11}\)
E211z	\({\cal E}_2^{11}\)
E311z	\({\cal E}_3^{11}\)
E121z	\({\cal E}_1^{21}\)
E221z	\({\cal E}_2^{21}\)
E321z	\({\cal E}_3^{21}\)
E112z	\({\cal E}_1^{12}\)
E212z	\({\cal E}_2^{12}\)
E312z	\({\cal E}_3^{12}\)
E122z	\({\cal E}_1^{22}\)
E222z	\({\cal E}_2^{22}\)
E322z	\({\cal E}_3^{22}\)
alp11z	\(\alpha_{11}(z,t)\)
alp21z	\(\alpha_{21}(z,t)\)
alp12z	\(\alpha_{12}(z,t)\)
alp22z	\(\alpha_{22}(z,t)\)
eta11z	\(\eta_{11}(z,t)\)
eta21z	\(\eta_{21}(z,t)\)
eta12z	\(\eta_{12}(z,t)\)
eta22z	\(\eta_{22}(z,t)\)
E10z	\({\cal E}_1^{0}\)
E20z	\({\cal E}_2^{0}\)
E30z	\({\cal E}_3^{0}\)
EBpq	\({\cal E}\cdot\Bv^{pq}\)
E0Um	\({\cal E}^0\cdot\Uv\)
E0Wm	\({\cal E}^0\cdot\Wv\)
bx0mz	\(\left<b_{x}\right>_{xy}\)
by0mz	\(\left<b_{y}\right>_{xy}\)
bz0mz	\(\left<b_{z}\right>_{xy}\)
M11z	\(\left<{\cal M}_{11}\right>_{xy}\)
M22z	\(\left<{\cal M}_{22}\right>_{xy}\)
M33z	\(\left<{\cal M}_{33}\right>_{xy}\)

Module test_methods/testfield_nonlin_z.f90

Variable	Meaning
alp11	\(\alpha_{11}\)
alp21	\(\alpha_{21}\)
alp31	\(\alpha_{31}\)
alp12	\(\alpha_{12}\)
alp22	\(\alpha_{22}\)
alp32	\(\alpha_{32}\)
eta11	\(\eta_{11}k\)
eta21	\(\eta_{21}k\)
eta12	\(\eta_{12}k\)
eta22	\(\eta_{22}k\)
alpK	\(\alpha^K\)
alpM	\(\alpha^M\)
alpMK	\(\alpha^{MK}\)
phi11	\(\phi_{11}\)
phi21	\(\phi_{21}\)
phi12	\(\phi_{12}\)
phi22	\(\phi_{22}\)
phi32	\(\phi_{32}\)
psi11	\(\psi_{11}k\)
psi21	\(\psi_{21}k\)
psi12	\(\psi_{12}k\)
psi22	\(\psi_{22}k\)
phiK	\(\phi^K\)
phiM	\(\phi^M\)
phiMK	\(\phi^{MK}\)
alp11cc	\(\alpha_{11}\cos^2 kz\)
alp21sc	\(\alpha_{21}\sin kz\cos kz\)
alp12cs	\(\alpha_{12}\cos kz\sin kz\)
alp22ss	\(\alpha_{22}\sin^2 kz\)
eta11cc	\(\eta_{11}\cos^2 kz\)
eta21sc	\(\eta_{21}\sin kz\cos kz\)
eta12cs	\(\eta_{12}\cos kz\sin kz\)
eta22ss	\(\eta_{22}\sin^2 kz\)
s2kzDFm	\(\left<\sin2kz\nabla\cdot F\right>\)
M11	\({\cal M}_{11}\)
M22	\({\cal M}_{22}\)
M33	\({\cal M}_{33}\)
M11cc	\({\cal M}_{11}\cos^2 kz\)
M11ss	\({\cal M}_{11}\sin^2 kz\)
M22cc	\({\cal M}_{22}\cos^2 kz\)
M22ss	\({\cal M}_{22}\sin^2 kz\)
M12cs	\({\cal M}_{12}\cos kz\sin kz\)
bx11pt	\(b_x^{11}\)
bx21pt	\(b_x^{21}\)
bx12pt	\(b_x^{12}\)
bx22pt	\(b_x^{22}\)
bx0pt	\(b_x^{0}\)
by11pt	\(b_y^{11}\)
by21pt	\(b_y^{21}\)
by12pt	\(b_y^{12}\)
by22pt	\(b_y^{22}\)
by0pt	\(b_y^{0}\)
u11rms	\(\left<u_{11}^2\right>^{1/2}\)
u21rms	\(\left<u_{21}^2\right>^{1/2}\)
u12rms	\(\left<u_{12}^2\right>^{1/2}\)
u22rms	\(\left<u_{22}^2\right>^{1/2}\)
j11rms	\(\left<j_{11}^2\right>^{1/2}\)
b11rms	\(\left<b_{11}^2\right>^{1/2}\)
b21rms	\(\left<b_{21}^2\right>^{1/2}\)
b12rms	\(\left<b_{12}^2\right>^{1/2}\)
b22rms	\(\left<b_{22}^2\right>^{1/2}\)
ux0m	\(\left<u_{0_x}\right>\)
uy0m	\(\left<u_{0_y}\right>\)
ux11m	\(\left<u_{11_x}\right>\)
uy11m	\(\left<u_{11_y}\right>\)
u0rms	\(\left<u_{0}^2\right>^{1/2}\)
b0rms	\(\left<b_{0}^2\right>^{1/2}\)
u0max	\(\operatorname{max}\left|\boldsymbol{u}_{0}\right|\)
b0max	\(\operatorname{max}\left|\boldsymbol{b}_{0}\right|\)
jb0m	\(\left<j_0\cdot b_0\right>\)
ub0m	\(\left<u_0\cdot b_0\right>\)
uj0m	\(\left<u_0\cdot j_0\right>\)
E11rms	\(\left<{\cal E}_{11}^2\right>^{1/2}\)
E21rms	\(\left<{\cal E}_{21}^2\right>^{1/2}\)
E12rms	\(\left<{\cal E}_{12}^2\right>^{1/2}\)
E22rms	\(\left<{\cal E}_{22}^2\right>^{1/2}\)
E0rms	\(\left<{\cal E}_{0}^2\right>^{1/2}\)
Ex11pt	\({\cal E}_x^{11}\)
Ex21pt	\({\cal E}_x^{21}\)
Ex12pt	\({\cal E}_x^{12}\)
Ex22pt	\({\cal E}_x^{22}\)
Ex0pt	\({\cal E}_x^{0}\)
Ey11pt	\({\cal E}_y^{11}\)
Ey21pt	\({\cal E}_y^{21}\)
Ey12pt	\({\cal E}_y^{12}\)
Ey22pt	\({\cal E}_y^{22}\)
Ey0pt	\({\cal E}_y^{0}\)
bamp	bamp
E111z	\({\cal E}_1^{11}\)
E211z	\({\cal E}_2^{11}\)
E311z	\({\cal E}_3^{11}\)
E121z	\({\cal E}_1^{21}\)
E221z	\({\cal E}_2^{21}\)
E321z	\({\cal E}_3^{21}\)
E112z	\({\cal E}_1^{12}\)
E212z	\({\cal E}_2^{12}\)
E312z	\({\cal E}_3^{12}\)
E122z	\({\cal E}_1^{22}\)
E222z	\({\cal E}_2^{22}\)
E322z	\({\cal E}_3^{22}\)
E10z	\({\cal E}_1^{0}\)
E20z	\({\cal E}_2^{0}\)
E30z	\({\cal E}_3^{0}\)
EBpq	\({\cal E}\cdot\Bv^{pq}\)
E0Um	\({\cal E}^0\cdot\Uv\)
E0Wm	\({\cal E}^0\cdot\Wv\)
bx0mz	\(\left<b_{x}\right>_{xy}\)
by0mz	\(\left<b_{y}\right>_{xy}\)
bz0mz	\(\left<b_{z}\right>_{xy}\)
M11z	\(\left<{\cal M}_{11}\right>_{xy}\)
M22z	\(\left<{\cal M}_{22}\right>_{xy}\)
M33z	\(\left<{\cal M}_{33}\right>_{xy}\)

Module test_methods/testfield_x.f90

Variable	Meaning
alp11	\(\alpha_{11}\)
alp21	\(\alpha_{21}\)
alp31	\(\alpha_{31}\)
alp12	\(\alpha_{12}\)
alp22	\(\alpha_{22}\)
alp32	\(\alpha_{32}\)
eta11	\(\eta_{11}k\)
eta21	\(\eta_{21}k\)
eta12	\(\eta_{12}k\)
eta22	\(\eta_{22}k\)
alp11cc	\(\alpha_{11}\cos^2 kx\)
alp21sc	\(\alpha_{21}\sin kx\cos kx\)
alp12cs	\(\alpha_{12}\cos kx\sin kx\)
alp22ss	\(\alpha_{22}\sin^2 kx\)
eta11cc	\(\eta_{11}\cos^2 kx\)
eta21sc	\(\eta_{21}\sin kx\cos kx\)
eta12cs	\(\eta_{12}\cos kx\sin kx\)
eta22ss	\(\eta_{22}\sin^2 kx\)
alp11_x	\(\alpha_{11}x\)
alp21_x	\(\alpha_{21}x\)
alp12_x	\(\alpha_{12}x\)
alp22_x	\(\alpha_{22}x\)
eta11_x	\(\eta_{11}kx\)
eta21_x	\(\eta_{21}kx\)
eta12_x	\(\eta_{12}kx\)
eta22_x	\(\eta_{22}kx\)
alp11_x2	\(\alpha_{11}x^2\)
alp21_x2	\(\alpha_{21}x^2\)
alp12_x2	\(\alpha_{12}x^2\)
alp22_x2	\(\alpha_{22}x^2\)
eta11_x2	\(\eta_{11}kx^2\)
eta21_x2	\(\eta_{21}kx^2\)
eta12_x2	\(\eta_{12}kx^2\)
eta22_x2	\(\eta_{22}kx^2\)
b11rms	\(\left<b_{11}^2\right>^{1/2}\)
b21rms	\(\left<b_{21}^2\right>^{1/2}\)
b12rms	\(\left<b_{12}^2\right>^{1/2}\)
b22rms	\(\left<b_{22}^2\right>^{1/2}\)
b0rms	\(\left<b_{0}^2\right>^{1/2}\)
E11rms	\(\left<{\cal E}_{11}^2\right>^{1/2}\)
E21rms	\(\left<{\cal E}_{21}^2\right>^{1/2}\)
E12rms	\(\left<{\cal E}_{12}^2\right>^{1/2}\)
E22rms	\(\left<{\cal E}_{22}^2\right>^{1/2}\)
E0rms	\(\left<{\cal E}_{0}^2\right>^{1/2}\)
E111z	\({\cal E}_1^{11}\)
E211z	\({\cal E}_2^{11}\)
E311z	\({\cal E}_3^{11}\)
E121z	\({\cal E}_1^{21}\)
E221z	\({\cal E}_2^{21}\)
E321z	\({\cal E}_3^{21}\)
E112z	\({\cal E}_1^{12}\)
E212z	\({\cal E}_2^{12}\)
E312z	\({\cal E}_3^{12}\)
E122z	\({\cal E}_1^{22}\)
E222z	\({\cal E}_2^{22}\)
E322z	\({\cal E}_3^{22}\)
E10z	\({\cal E}_1^{0}\)
E20z	\({\cal E}_2^{0}\)
E30z	\({\cal E}_3^{0}\)
EBpq	\({\cal E}\cdot\Bv^{pq}\)
bx0mz	\(\left<b_{x}\right>_{xy}\)
by0mz	\(\left<b_{y}\right>_{xy}\)
bz0mz	\(\left<b_{z}\right>_{xy}\)
alp11x	\(\alpha_{11}(x,t)\)
alp21x	\(\alpha_{21}(x,t)\)
alp12x	\(\alpha_{12}(x,t)\)
alp22x	\(\alpha_{22}(x,t)\)
eta11x	\(\eta_{11}(x,t)\)
eta21x	\(\eta_{21}(x,t)\)
eta12x	\(\eta_{12}(x,t)\)
eta22x	\(\eta_{22}(x,t)\)

Module test_methods/testfield_z.f90

Variable	Meaning
alp11	\(\alpha_{11}\)
alp21	\(\alpha_{21}\)
alp31	\(\alpha_{31}\)
alp12	\(\alpha_{12}\)
alp22	\(\alpha_{22}\)
alp32	\(\alpha_{32}\)
alp13	\(\alpha_{13}\)
alp23	\(\alpha_{23}\)
eta11	\(\eta_{113}k\) or \(\eta_{11}k\) if leta_rank2=T
eta21	\(\eta_{213}k\) or \(\eta_{21}k\) if leta_rank2=T
eta31	\(\eta_{313}k\)
eta12	\(\eta_{123}k\) or \(\eta_{12}k\) if leta_rank2=T
eta22	\(\eta_{223}k\) or \(\eta_{22}k\) if leta_rank2=T
eta32	\(\eta_{323}k\)
alp11cc	\(\alpha_{11}\cos^2 kz\)
alp21sc	\(\alpha_{21}\sin kz\cos kz\)
alp12cs	\(\alpha_{12}\cos kz\sin kz\)
alp22ss	\(\alpha_{22}\sin^2 kz\)
eta11cc	\(\eta_{11}\cos^2 kz\)
eta21sc	\(\eta_{21}\sin kz\cos kz\)
eta12cs	\(\eta_{12}\cos kz\sin kz\)
eta22ss	\(\eta_{22}\sin^2 kz\)
s2kzDFm	\(\left<\sin2kz\nabla\cdot F\right>\)
M11	\({\cal M}_{11}\)
M22	\({\cal M}_{22}\)
M33	\({\cal M}_{33}\)
M11cc	\({\cal M}_{11}\cos^2 kz\)
M11ss	\({\cal M}_{11}\sin^2 kz\)
M22cc	\({\cal M}_{22}\cos^2 kz\)
M22ss	\({\cal M}_{22}\sin^2 kz\)
M12cs	\({\cal M}_{12}\cos kz\sin kz\)
bx11pt	\(b_x^{11}\)
bx21pt	\(b_x^{21}\)
bx12pt	\(b_x^{12}\)
bx22pt	\(b_x^{22}\)
bx0pt	\(b_x^{0}\)
by11pt	\(b_y^{11}\)
by21pt	\(b_y^{21}\)
by12pt	\(b_y^{12}\)
by22pt	\(b_y^{22}\)
by0pt	\(b_y^{0}\)
b11rms	\(\left<b_{11}^2\right>^{1/2}\)
b21rms	\(\left<b_{21}^2\right>^{1/2}\)
b12rms	\(\left<b_{12}^2\right>^{1/2}\)
b22rms	\(\left<b_{22}^2\right>^{1/2}\)
b0rms	\(\left<b_{0}^2\right>^{1/2}\)
jb0m	\(\left<jb_{0}\right>\)
E11rms	\(\left<{\cal E}_{11}^2\right>^{1/2}\)
E21rms	\(\left<{\cal E}_{21}^2\right>^{1/2}\)
E12rms	\(\left<{\cal E}_{12}^2\right>^{1/2}\)
E22rms	\(\left<{\cal E}_{22}^2\right>^{1/2}\)
E0rms	\(\left<{\cal E}_{0}^2\right>^{1/2}\)
Ex11pt	\({\cal E}_x^{11}\)
Ex21pt	\({\cal E}_x^{21}\)
Ex12pt	\({\cal E}_x^{12}\)
Ex22pt	\({\cal E}_x^{22}\)
Ex0pt	\({\cal E}_x^{0}\)
Ey11pt	\({\cal E}_y^{11}\)
Ey21pt	\({\cal E}_y^{21}\)
Ey12pt	\({\cal E}_y^{12}\)
Ey22pt	\({\cal E}_y^{22}\)
Ey0pt	\({\cal E}_y^{0}\)
bamp	bamp
alp11z	\(\alpha_{11}(z,t)\)
alp21z	\(\alpha_{21}(z,t)\)
alp12z	\(\alpha_{12}(z,t)\)
alp22z	\(\alpha_{22}(z,t)\)
alp13z	\(\alpha_{13}(z,t)\)
alp23z	\(\alpha_{23}(z,t)\)
eta11z	\(\eta_{11}(z,t)\)
eta21z	\(\eta_{21}(z,t)\)
eta12z	\(\eta_{12}(z,t)\)
eta22z	\(\eta_{22}(z,t)\)
uzjx1z	\(u_z j^{11}_x\)
uzjy1z	\(u_z j^{11}_y\)
uzjz1z	\(u_z j^{11}_z\)
uzjx2z	\(u_z j^{21}_x\)
uzjy2z	\(u_z j^{21}_y\)
uzjz2z	\(u_z j^{21}_z\)
uzjx3z	\(u_z j^{12}_x\)
uzjy3z	\(u_z j^{12}_y\)
uzjz3z	\(u_z j^{12}_z\)
uzjx4z	\(u_z j^{22}_x\)
uzjy4z	\(u_z j^{22}_y\)
uzjz4z	\(u_z j^{22}_z\)
E111z	\({\cal E}_1^{11}\)
E211z	\({\cal E}_2^{11}\)
E311z	\({\cal E}_3^{11}\)
E121z	\({\cal E}_1^{21}\)
E221z	\({\cal E}_2^{21}\)
E321z	\({\cal E}_3^{21}\)
E112z	\({\cal E}_1^{12}\)
E212z	\({\cal E}_2^{12}\)
E312z	\({\cal E}_3^{12}\)
E122z	\({\cal E}_1^{22}\)
E222z	\({\cal E}_2^{22}\)
E322z	\({\cal E}_3^{22}\)
E10z	\({\cal E}_1^{0}\)
E20z	\({\cal E}_2^{0}\)
E30z	\({\cal E}_3^{0}\)
EBpq	\({\cal E}\cdot\Bv^{pq}\)
E0Um	\({\cal E}^0\cdot\Uv\)
E0Wm	\({\cal E}^0\cdot\Wv\)
bx0mz	\(\left<b_{x}\right>_{xy}\)
by0mz	\(\left<b_{y}\right>_{xy}\)
bz0mz	\(\left<b_{z}\right>_{xy}\)
M11z	\(\left<{\cal M}_{11}\right>_{xy}\)
M22z	\(\left<{\cal M}_{22}\right>_{xy}\)
M33z	\(\left<{\cal M}_{33}\right>_{xy}\)

Module test_methods/testscalar.f90

Variable	Meaning
gam11	\(\gamma_{1}^{(1)}\)
gam12	\(\gamma_{2}^{(1)}\)
gam13	\(\gamma_{3}^{(1)}\)
gam21	\(\gamma_{1}^{(2)}\)
gam22	\(\gamma_{2}^{(2)}\)
gam23	\(\gamma_{3}^{(2)}\)
gam31	\(\gamma_{1}^{(3)}\)
gam32	\(\gamma_{2}^{(3)}\)
gam33	\(\gamma_{3}^{(3)}\)
kap11	\(\kappa_{11}\)
kap21	\(\kappa_{21}\)
kap31	\(\kappa_{31}\)
kap12	\(\kappa_{12}\)
kap22	\(\kappa_{22}\)
kap32	\(\kappa_{32}\)
kap13	\(\kappa_{13}\)
kap23	\(\kappa_{23}\)
kap33	\(\kappa_{33}\)
gam11z	\(\gamma_{1}^{(1)}(z,t)\)
gam12z	\(\gamma_{2}^{(1)}(z,t)\)
gam13z	\(\gamma_{3}^{(1)}(z,t)\)
gam21z	\(\gamma_{1}^{(2)}(z,t)\)
gam22z	\(\gamma_{2}^{(2)}(z,t)\)
gam23z	\(\gamma_{3}^{(2)}(z,t)\)
gam31z	\(\gamma_{1}^{(3)}(z,t)\)
gam32z	\(\gamma_{2}^{(3)}(z,t)\)
gam33z	\(\gamma_{3}^{(3)}(z,t)\)
kap11z	\(\kappa_{11}(z,t)\)
kap21z	\(\kappa_{21}(z,t)\)
kap31z	\(\kappa_{31}(z,t)\)
kap12z	\(\kappa_{12}(z,t)\)
kap22z	\(\kappa_{22}(z,t)\)
kap32z	\(\kappa_{32}(z,t)\)
kap13z	\(\kappa_{13}(z,t)\)
kap23z	\(\kappa_{23}(z,t)\)
kap33z	\(\kappa_{33}(z,t)\)
mgam33	\(\tilde\gamma_{33}\)
mkap33	\(\tilde\kappa_{33}\)
ngam33	\(\hat\gamma_{33}\)
nkap33	\(\hat\kappa_{33}\)
c1rms	\(\left<c_{1}^2\right>^{1/2}\)
c2rms	\(\left<c_{2}^2\right>^{1/2}\)
c3rms	\(\left<c_{3}^2\right>^{1/2}\)
c4rms	\(\left<c_{4}^2\right>^{1/2}\)
c5rms	\(\left<c_{5}^2\right>^{1/2}\)
c6rms	\(\left<c_{6}^2\right>^{1/2}\)
c1pt	\(c^{1}\)
c2pt	\(c^{2}\)
c3pt	\(c^{3}\)
c4pt	\(c^{4}\)
c5pt	\(c^{5}\)
c6pt	\(c^{6}\)
F11z	\({\cal F}_1^{1}\)
F21z	\({\cal F}_2^{1}\)
F31z	\({\cal F}_3^{1}\)
F12z	\({\cal F}_1^{2}\)
F22z	\({\cal F}_2^{2}\)
F32z	\({\cal F}_3^{2}\)

Module test_methods/testscalar_axisym.f90

Variable	Meaning
muc1	\(\mu^{(c1)}\)
muc2	\(\mu^{(c2)}\)
gamc	\(\gamma^{(c)}\)
kapcPERP1	\(\kappa_\perp^{(1)}\)
kapcPERP2	\(\kappa_\perp^{(2)}\)
kapcPARA	\(\kappa_\parallel\)
mucz	\(\mu^{(c)}(z,t)\)
gamcz	\(\gamma^{(c)}(z,t)\)
kapcPERPz	\(\kappa_\perp(z,t)\)
kapcPARAz	\(\kappa_\parallel(z,t)\)
gam11	\(\gamma_{1}^{(1)}\)
gam12	\(\gamma_{2}^{(1)}\)
gam13	\(\gamma_{3}^{(1)}\)
gam21	\(\gamma_{1}^{(2)}\)
gam22	\(\gamma_{2}^{(2)}\)
gam23	\(\gamma_{3}^{(2)}\)
gam31	\(\gamma_{1}^{(3)}\)
gam32	\(\gamma_{2}^{(3)}\)
gam33	\(\gamma_{3}^{(3)}\)
kap11	\(\kappa_{11}\)
kap21	\(\kappa_{21}\)
kap31	\(\kappa_{31}\)
kap12	\(\kappa_{12}\)
kap22	\(\kappa_{22}\)
kap32	\(\kappa_{32}\)
kap13	\(\kappa_{13}\)
kap23	\(\kappa_{23}\)
kap33	\(\kappa_{33}\)
gam11z	\(\gamma_{1}^{(1)}(z,t)\)
gam12z	\(\gamma_{2}^{(1)}(z,t)\)
gam13z	\(\gamma_{3}^{(1)}(z,t)\)
gam21z	\(\gamma_{1}^{(2)}(z,t)\)
gam22z	\(\gamma_{2}^{(2)}(z,t)\)
gam23z	\(\gamma_{3}^{(2)}(z,t)\)
gam31z	\(\gamma_{1}^{(3)}(z,t)\)
gam32z	\(\gamma_{2}^{(3)}(z,t)\)
gam33z	\(\gamma_{3}^{(3)}(z,t)\)
gam3z	\(\gamma^{(c)}(z,t)\)
kap11z	\(\kappa_{11}(z,t)\)
kap21z	\(\kappa_{21}(z,t)\)
kap31z	\(\kappa_{31}(z,t)\)
kap12z	\(\kappa_{12}(z,t)\)
kap22z	\(\kappa_{22}(z,t)\)
kap32z	\(\kappa_{32}(z,t)\)
kap13z	\(\kappa_{13}(z,t)\)
kap23z	\(\kappa_{23}(z,t)\)
kap33z	\(\kappa_{33}(z,t)\)
mgam33	\(\tilde\gamma_{33}\)
mkap33	\(\tilde\kappa_{33}\)
ngam33	\(\hat\gamma_{33}\)
nkap33	\(\hat\kappa_{33}\)
c1rms	\(\left<c_{1}^2\right>^{1/2}\)
c2rms	\(\left<c_{2}^2\right>^{1/2}\)
c3rms	\(\left<c_{3}^2\right>^{1/2}\)
c4rms	\(\left<c_{4}^2\right>^{1/2}\)
c5rms	\(\left<c_{5}^2\right>^{1/2}\)
c6rms	\(\left<c_{6}^2\right>^{1/2}\)
c1pt	\(c^{1}\)
c2pt	\(c^{2}\)
c3pt	\(c^{3}\)
c4pt	\(c^{4}\)
c5pt	\(c^{5}\)
c6pt	\(c^{6}\)
F11z	\({\cal F}_1^{1}\)
F21z	\({\cal F}_2^{1}\)
F31z	\({\cal F}_3^{1}\)
F12z	\({\cal F}_1^{2}\)
F22z	\({\cal F}_2^{2}\)
F32z	\({\cal F}_3^{2}\)

Module test_methods/testscalar_simple.f90

Variable	Meaning
gam11	\(\gamma_{1}^{(1)}\)
gam12	\(\gamma_{2}^{(1)}\)
gam13	\(\gamma_{3}^{(1)}\)
gam21	\(\gamma_{1}^{(2)}\)
gam22	\(\gamma_{2}^{(2)}\)
gam23	\(\gamma_{3}^{(2)}\)
gam31	\(\gamma_{1}^{(3)}\)
gam32	\(\gamma_{2}^{(3)}\)
gam33	\(\gamma_{3}^{(3)}\)
kap11	\(\kappa_{11}\)
kap21	\(\kappa_{21}\)
kap31	\(\kappa_{31}\)
kap12	\(\kappa_{12}\)
kap22	\(\kappa_{22}\)
kap32	\(\kappa_{32}\)
kap13	\(\kappa_{13}\)
kap23	\(\kappa_{23}\)
kap33	\(\kappa_{33}\)
gam11z	\(\gamma_{1}^{(1)}(z,t)\)
gam12z	\(\gamma_{2}^{(1)}(z,t)\)
gam13z	\(\gamma_{3}^{(1)}(z,t)\)
gam21z	\(\gamma_{1}^{(2)}(z,t)\)
gam22z	\(\gamma_{2}^{(2)}(z,t)\)
gam23z	\(\gamma_{3}^{(2)}(z,t)\)
gam31z	\(\gamma_{1}^{(3)}(z,t)\)
gam32z	\(\gamma_{2}^{(3)}(z,t)\)
gam33z	\(\gamma_{3}^{(3)}(z,t)\)
kap11z	\(\kappa_{11}(z,t)\)
kap21z	\(\kappa_{21}(z,t)\)
kap31z	\(\kappa_{31}(z,t)\)
kap12z	\(\kappa_{12}(z,t)\)
kap22z	\(\kappa_{22}(z,t)\)
kap32z	\(\kappa_{32}(z,t)\)
kap13z	\(\kappa_{13}(z,t)\)
kap23z	\(\kappa_{23}(z,t)\)
kap33z	\(\kappa_{33}(z,t)\)
mgam33	\(\tilde\gamma_{33}\)
mkap33	\(\tilde\kappa_{33}\)
ngam33	\(\hat\gamma_{33}\)
nkap33	\(\hat\kappa_{33}\)
c1rms	\(\left<c_{1}^2\right>^{1/2}\)
c2rms	\(\left<c_{2}^2\right>^{1/2}\)
c3rms	\(\left<c_{3}^2\right>^{1/2}\)
c4rms	\(\left<c_{4}^2\right>^{1/2}\)
c5rms	\(\left<c_{5}^2\right>^{1/2}\)
c6rms	\(\left<c_{6}^2\right>^{1/2}\)
c1pt	\(c^{1}\)
c2pt	\(c^{2}\)
c3pt	\(c^{3}\)
c4pt	\(c^{4}\)
c5pt	\(c^{5}\)
c6pt	\(c^{6}\)
F11z	\({\cal F}_1^{1}\)
F21z	\({\cal F}_2^{1}\)
F31z	\({\cal F}_3^{1}\)
F12z	\({\cal F}_1^{2}\)
F22z	\({\cal F}_2^{2}\)
F32z	\({\cal F}_3^{2}\)