List of parameters for xyaver.in

This page lists 584 variables distributed into 20 files. Of these:

  • 558 (96%) are documented;

  • 26 (4%) are undocumented.

Some of the variable names are shared amongst modules, so there are 424 unique names:

  • 280 variables appear 1 time;

  • 130 variables appear 2 times;

  • 12 variables appear 3 times;

  • 2 variables appear 4 times.

Filter:

Module ascalar.f90

Variable

Meaning

accmz

\(\left<c\right>_{xy}\)

Module bfield.f90

Variable

Meaning

bmz

\(\langle B\rangle_{xy}\)

b2mz

\(\langle B^2\rangle_{xy}\)

bxmz

\(\langle B_x\rangle_{xy}\)

bymz

\(\langle B_y\rangle_{xy}\)

bzmz

\(\langle B_z\rangle_{xy}\)

bx2mz

\(\langle B_x^2\rangle_{xy}\)

by2mz

\(\langle B_y^2\rangle_{xy}\)

bz2mz

\(\langle B_z^2\rangle_{xy}\)

bxbymz

\(\langle B_x B_y\rangle_{xy}\)

bxbzmz

\(\langle B_x B_z\rangle_{xy}\)

bybzmz

\(\langle B_y B_z\rangle_{xy}\)

betamz

\(\langle\beta\rangle_{xy}\)

beta2mz

\(\langle\beta^2\rangle_{xy}\)

Module cdata.f90

Variable

Meaning

dtvmaxz

z-dependent version of dtv

Module density.f90

Variable

Meaning

rhomz

\(\left<\varrho\right>_{xy}\)

rhoupmz

\(\left<\varrho_\uparrow\right>_{xy}\)

rhodownmz

\(\left<\varrho_\downarrow\right>_{xy}\)

rho2mz

\(\left<\varrho^2\right>_{xy}\)

rho2upmz

\(\left<\varrho_\uparrow^2\right>_{xy}\)

rho2downmz

\(\left<\varrho_\downarrow^2\right>_{xy}\)

rhof2mz

\(\left<\varrho'^2\right>_{xy}\)

rhof2upmz

\(\left<\varrho'^2_\uparrow\right>_{xy}\)

rhof2downmz

\(\left<\varrho'^2_\downarrow\right>_{xy}\)

gzlnrhomz

\(\left<\nabla_z\ln\varrho\right>_{xy}\)

uglnrhomz

\(\left<\uv\cdot\nabla\ln\varrho\right>_{xy}\)

ugrhomz

\(\left<\uv\cdot\nabla\varrho\right>_{xy}\)

uygzlnrhomz

\(\left<u_y\nabla_z\ln\varrho\right>_{xy}\)

uzgylnrhomz

\(\left<u_z\nabla_y\ln\varrho\right>_{xy}\)

rhoph1mz

\(\left< \overline{n}^2 \right>_{xy}|_{\mathrm phase 1}\)

rhoph2mz

\(\left< \overline{n}^2 \right>_{xy}|_{\mathrm phase 2}\)

rhoph3mz

\(\left< \overline{n}^2 \right>_{xy}|_{\mathrm phase 3}\)

rho2ph1mz

\(\left< \overline{n^2} \right>_{xy}|_{\mathrm phase 1}\)

rho2ph2mz

\(\left< \overline{n^2} \right>_{xy}|_{\mathrm phase 2}\)

rho2ph3mz

\(\left< \overline{n^2} \right>_{xy}|_{\mathrm phase 3}\)

rho2mx

\(\left<\varrho^2\right>_{yz}\)

Module density_stratified.f90

Variable

Meaning

drhomz

\(\langle\Delta\rho/\rho_0\rangle_{xy}\)

drho2mz

\(\langle\left(\Delta\rho/\rho_0\right)^2\rangle_{xy}\)

Module entropy.f90

Variable

Meaning

fradz

\(\left<F_{\mathrm rad}\right>_{xy}\)

fconvz

\(\left<c_p \varrho u_z T \right>_{xy}\)

Fenthz

\(\left<c_p (\varrho u_z)' T' \right>_{xy}\)

Fenthupz

\(\left<(c_p (\varrho u_z)' T')_\uparrow \right>_{xy}\)

Fenthdownz

\(\left<(c_p (\varrho u_z)' T')_\downarrow \right>_{xy}\)

ssmz

\(\left< s \right>_{xy}\)

ssupmz

\(\left< s_\uparrow \right>_{xy}\)

ssdownmz

\(\left< s_\downarrow \right>_{xy}\)

ss2mz

\(\left< s^2 \right>_{xy}\)

ss2upmz

\(\left< s^2_\uparrow \right>_{xy}\)

ss2downmz

\(\left< s^2_\downarrow \right>_{xy}\)

ssf2mz

\(\left< s'^2\right>_{xy}\)

ssf2upmz

\(\left< s'^2_\uparrow \right>_{xy}\)

ssf2downmz

\(\left< s'^2_\downarrow \right>_{xy}\)

ppmz

\(\left< p \right>_{xy}\)

TTmz

\(\left< T \right>_{xy}\)

TTdownmz

\(\left< T_\downarrow \right>_{xy}\)

TTupmz

\(\left< T_\uparrow \right>_{xy}\)

TT2mz

\(\left< T^2 \right>_{xy}\)

TT2upmz

\(\left< T^2_\uparrow \right>_{xy}\)

TT2downmz

\(\left< T^2_\downarrow \right>_{xy}\)

TTf2mz

\(\left< T'^2 \right>_{xy}\)

TTf2upmz

\(\left< T'^2_\uparrow \right>_{xy}\)

TTf2downmz

\(\left< T'^2_\downarrow \right>_{xy}\)

ugradpmz

\(\left< u \cdot\nabla p \right>_{xy}\)

gradpxmz

\(\left< \nabla p_x \right>_{xy}\)

gradpymz

\(\left< \nabla p_y \right>_{xy}\)

gradpzmz

\(\left< \nabla p_z \right>_{xy}\)

pdivumz

\(\left<p\nabla\cdot\uv\right>_{xy}\)

uxTTmz

\(\left< u_x T \right>_{xy}\)

uyTTmz

\(\left< u_y T \right>_{xy}\)

uzTTmz

\(\left< u_z T \right>_{xy}\)

uzTTupmz

\(\left< (u_z T)_\uparrow \right>_{xy}\)

uzTTdownmz

\(\left< (u_z T)_\downarrow \right>_{xy}\)

gTxgsxmz

\(\left<(\nabla T\times\nabla s)_x\right>_{xy}\)

gTxgsymz

\(\left<(\nabla T\times\nabla s)_y\right>_{xy}\)

gTxgszmz

\(\left<(\nabla T\times\nabla s)_z\right>_{xy}\)

gTxgsx2mz

\(\left<(\nabla T\times\nabla s)^2_x\right>_{xy}\)

gTxgsy2mz

\(\left<(\nabla T\times\nabla s)^2_y\right>_{xy}\)

gTxgsz2mz

\(\left<(\nabla T\times\nabla s)^2_z\right>_{xy}\)

fradz_kramers

\(F_{\mathrm rad}\) (from Kramers’ opacity)

fradz_Kprof

\(F_{\mathrm rad}\) (from Kprof)

fradz_constchi

\(F_{\mathrm rad}\) (from chi_const)

fturbz

\(\left<\varrho T \chi_t \nabla_z s\right>_{xy}\) \(\quad\) (turbulent heat flux)

fturbtz

\(\left<\varrho T \chi_t \nabla_z s\right>_{xy}\) \(\quad\) (turbulent heat flux)

fturbmz

\(\left<\varrho T \chi_t \nabla_z \overline{s}\right>_{xy}\) \(\quad\) (turbulent heat flux)

fturbfz

\(\left<\varrho T \chi_t \nabla_z s'\right>_{xy}\) \(\quad\) (turbulent heat flux)

dcoolz

divergence of heating term (only for get_heat_cool_gravz)

heatmz

divergence of heating term (all terms except tau_relax_ss and tau_cool_ss)

Kkramersmz

\(\left< K_0 T^{(3-b)}/\rho^{(a+1)} \right>_{xy}\)

ethmz

\(\left<\varrho e\right>_{xy}\)

fpreszmz

\(-\left<\frac{\nabla p}{\varrho}\right>_{xy}\)

gTT2mz

\(\left< {\nabla T}^2 \right>_{xy}\)

gss2mz

\(\left< {\nabla s}^2 \right>_{xy}\)

fracvph1mz

\(\left<f_{\mathrm v}\right>_{xy}|_{\mathrm phase 1}\) \(\quad\) (phase 1 fractional volume)

fracvph2mz

\(\left<f_{\mathrm v}\right>_{xy}|_{\mathrm phase 2}\) \(\quad\) (phase 2 fractional volume)

fracvph3mz

\(\left<f_{\mathrm v}\right>_{xy}|_{\mathrm phase 3}\) \(\quad\) (phase 3 fractional volume)

Module gravity_simple.f90

Variable

Meaning

epotmz

\(\left<\varrho \Phi_{\mathrm grav} \right>_{xy}\)

epotuzmz

\(\left<\varrho \Phi_{\mathrm grav} u_z \right>_{xy}\) \(\quad\) (potential energy flux)

Module hydro.f90

Variable

Meaning

u2mz

\(\left< \uv^2 \right>_{xy}\)

o2mz

\(\left< \Wv^2 \right>_{xy}\)

divu2mz

\(\left<(\nabla\cdot\uv)^2\right>_{xy}\)

curlru2mz

\(\left<(\nabla\times\varrho\Uv)^2 \right>_{xy}\)

divru2mz

\(\left<(\nabla\cdot\varrho\uv)^2\right>_{xy}\)

fmasszmz

\(\left< \varrho u_z \right>_{xy}\)

fkinzmz

\(\left<{1\over2}\varrho\uv^2 u_z\right>_{xy}\)

fkinzupmz

\(\left<{1\over2}\varrho\uv^2 u_{z\uparrow}\right>_{xy}\)

fkinzdownmz

\(\left<{1\over2}\varrho\uv^2 u_{z\downarrow}\right>_{xy}\)

uxmz

\(\left< u_x \right>_{xy}\) \(\quad\) (horiz. averaged \(x\) velocity)

uymz

\(\left< u_y \right>_{xy}\)

uzmz

\(\left< u_z \right>_{xy}\)

uxph1mz

\(\left< u_x \right>_{xy}|_{\mathrm phase 1}\)

uxph2mz

\(\left< u_y \right>_{xy}|_{\mathrm phase 2}\)

uxph3mz

\(\left< u_x \right>_{xy}|_{\mathrm phase 3}\)

uyph1mz

\(\left< u_y \right>_{xy}|_{\mathrm phase 1}\)

uyph2mz

\(\left< u_y \right>_{xy}|_{\mathrm phase 2}\)

uyph3mz

\(\left< u_y \right>_{xy}|_{\mathrm phase 3}\)

uzph1mz

\(\left< u_z \right>_{xy}|_{\mathrm phase 1}\)

uzph2mz

\(\left< u_z \right>_{xy}|_{\mathrm phase 2}\)

uzph3mz

\(\left< u_z \right>_{xy}|_{\mathrm phase 3}\)

u2ph1mz

\(\left< u^2 \right>_{xy}|_{\mathrm phase 1}\)

u2ph2mz

\(\left< u^2 \right>_{xy}|_{\mathrm phase 2}\)

u2ph3mz

\(\left< u^2 \right>_{xy}|_{\mathrm phase 3}\)

ux2ph1mz

\(\left< u_x^2 \right>_{xy}|_{\mathrm phase 1}\)

ux2ph2mz

\(\left< u_x^2 \right>_{xy}|_{\mathrm phase 2}\)

ux2ph3mz

\(\left< u_x^2 \right>_{xy}|_{\mathrm phase 3}\)

uy2ph1mz

\(\left< u_y^2 \right>_{xy}|_{\mathrm phase 1}\)

uy2ph2mz

\(\left< u_y^2 \right>_{xy}|_{\mathrm phase 2}\)

uy2ph3mz

\(\left< u_y^2 \right>_{xy}|_{\mathrm phase 3}\)

uz2ph1mz

\(\left< u_z^2 \right>_{xy}|_{\mathrm phase 1}\)

uz2ph2mz

\(\left< u_z^2 \right>_{xy}|_{\mathrm phase 2}\)

uz2ph3mz

\(\left< u_z^2 \right>_{xy}|_{\mathrm phase 3}\)

ffdownmz

Filling factor of downflows

uzupmz

\(\left< u_{z\uparrow} \right>_{xy}\)

uzdownmz

\(\left< u_{z\downarrow} \right>_{xy}\)

ruzupmz

\(\left< \varrho u_{z\uparrow} \right>_{xy}\)

ruzdownmz

\(\left< \varrho u_{z\downarrow} \right>_{xy}\)

divumz

\(\left< {\mathrm div}\uv \right>_{xy}\)

uzdivumz

\(\left< u_z{\mathrm div}\uv \right>_{xy}\)

oxmz

\(\left< \omega_x \right>_{xy}\)

oymz

\(\left< \omega_y \right>_{xy}\)

ozmz

\(\left< \omega_z \right>_{xy}\)

ux2mz

\(\left<u_x^2\right>_{xy}\)

uy2mz

\(\left<u_y^2\right>_{xy}\)

uz2mz

\(\left<u_z^2\right>_{xy}\)

ux3mz

\(\left<u_x^3\right>_{xy}\)

uy3mz

\(\left<u_y^3\right>_{xy}\)

uz3mz

\(\left<u_z^3\right>_{xy}\)

ux4mz

\(\left<u_x^4\right>_{xy}\)

uy4mz

\(\left<u_y^4\right>_{xy}\)

uz4mz

\(\left<u_z^4\right>_{xy}\)

uz2upmz

\(\left<u_{z\uparrow}^2\right>_{xy}\)

uz2downmz

\(\left<u_{z\downarrow}^2\right>_{xy}\)

ox2mz

\(\left< \omega_x^2 \right>_{xy}\)

oy2mz

\(\left< \omega_y^2 \right>_{xy}\)

oz2mz

\(\left< \omega_z^2 \right>_{xy}\)

ruxmz

\(\left<\varrho u_x \right>_{xy}\)

ruymz

\(\left<\varrho u_y \right>_{xy}\)

ruzmz

\(\left<\varrho u_z \right>_{xy}\)

ruxph1mz

\(\left<\varrho u_x \right>_{xy}|_{\mathrm phase 1}\)

ruxph2mz

\(\left<\varrho u_x \right>_{xy}|_{\mathrm phase 2}\)

ruxph3mz

\(\left<\varrho u_x \right>_{xy}|_{\mathrm phase 3}\)

ruyph1mz

\(\left<\varrho u_y \right>_{xy}|_{\mathrm phase 1}\)

ruyph2mz

\(\left<\varrho u_y \right>_{xy}|_{\mathrm phase 2}\)

ruyph3mz

\(\left<\varrho u_y \right>_{xy}|_{\mathrm phase 3}\)

ruzph1mz

\(\left<\varrho u_z \right>_{xy}|_{\mathrm phase 1}\)

ruzph2mz

\(\left<\varrho u_z \right>_{xy}|_{\mathrm phase 2}\)

ruzph3mz

\(\left<\varrho u_z \right>_{xy}|_{\mathrm phase 3}\)

rux2ph1mz

\(\left<\varrho u_x^2 \right>_{xy}|_{\mathrm phase 1}\)

rux2ph2mz

\(\left<\varrho u_x^2 \right>_{xy}|_{\mathrm phase 2}\)

rux2ph3mz

\(\left<\varrho u_x^2 \right>_{xy}|_{\mathrm phase 3}\)

ruy2ph1mz

\(\left<\varrho u_y^2 \right>_{xy}|_{\mathrm phase 1}\)

ruy2ph2mz

\(\left<\varrho u_y^2 \right>_{xy}|_{\mathrm phase 2}\)

ruy2ph3mz

\(\left<\varrho u_y^2 \right>_{xy}|_{\mathrm phase 3}\)

ruz2ph1mz

\(\left<\varrho u_z^2 \right>_{xy}|_{\mathrm phase 1}\)

ruz2ph2mz

\(\left<\varrho u_z^2 \right>_{xy}|_{\mathrm phase 2}\)

ruz2ph3mz

\(\left<\varrho u_z^2 \right>_{xy}|_{\mathrm phase 3}\)

ekinph1mz

\(\left<{1\over2}\varrho\uv^2\right>_{xy}|_{\mathrm phase 1}\)

ekinph2mz

\(\left<{1\over2}\varrho\uv^2\right>_{xy}|_{\mathrm phase 2}\)

ekinph3mz

\(\left<{1\over2}\varrho\uv^2\right>_{xy}|_{\mathrm phase 3}\)

oxph1mz

\(\left< \omega_x \right>_{xy}|_{\mathrm phase 1}\)

oxph2mz

\(\left< \omega_x \right>_{xy}|_{\mathrm phase 2}\)

oxph3mz

\(\left< \omega_x \right>_{xy}|_{\mathrm phase 3}\)

oyph1mz

\(\left< \omega_y \right>_{xy}|_{\mathrm phase 1}\)

oyph2mz

\(\left< \omega_y \right>_{xy}|_{\mathrm phase 2}\)

oyph3mz

\(\left< \omega_y \right>_{xy}|_{\mathrm phase 3}\)

ozph1mz

\(\left< \omega_z \right>_{xy}|_{\mathrm phase 1}\)

ozph2mz

\(\left< \omega_z \right>_{xy}|_{\mathrm phase 2}\)

ozph3mz

\(\left< \omega_z \right>_{xy}|_{\mathrm phase 3}\)

ouph1mz

\(\left<\boldsymbol{\omega}\cdot\uv\right>_{xy}|_{\mathrm phase 1}\)

ouph2mz

\(\left<\boldsymbol{\omega}\cdot\uv\right>_{xy}|_{\mathrm phase 2}\)

ouph3mz

\(\left<\boldsymbol{\omega}\cdot\uv\right>_{xy}|_{\mathrm phase 3}\)

rux2mz

\(\left<\varrho u_x^2\right>_{xy}\)

ruy2mz

\(\left<\varrho u_y^2\right>_{xy}\)

ruz2mz

\(\left<\varrho u_z^2\right>_{xy}\)

uxuymz

\(\left<u_x u_y\right>_{xy}\)

uxuzmz

\(\left<u_x u_z\right>_{xy}\)

uyuzmz

\(\left<u_y u_z\right>_{xy}\)

Rxymz

\(\left<u_x' u_y'\right>_{xy}\)

Rxyupmz

\(\left<u_{x\downarrow}' u_{y\downarrow}'\right>_{xy}\)

Rxydownmz

\(\left<u_{x\uparrow}' u_{y\uparrow}'\right>_{xy}\)

Rxzmz

\(\left<u_x' u_z'\right>_{xy}\)

Rxzupmz

\(\left<u_{x\downarrow}' u_{z\downarrow}'\right>_{xy}\)

Rxzdownmz

\(\left<u_{x\uparrow}' u_{z\uparrow}'\right>_{xy}\)

Ryzmz

\(\left<u_y' u_z'\right>_{xy}\)

Ryzupmz

\(\left<u_{y\downarrow}' u_{z\downarrow}'\right>_{xy}\)

Ryzdownmz

\(\left<u_{y\uparrow}' u_{z\uparrow}'\right>_{xy}\)

ruxuymz

\(\langle\rho u_x u_y\rangle_{xy}\)

ruxuzmz

\(\langle\rho u_x u_z\rangle_{xy}\)

ruyuzmz

\(\langle\rho u_y u_z\rangle_{xy}\)

ruxuy2mz

\(\langle\left(\rho u_x u_y\right)^2\rangle_{xy}\)

ruxuz2mz

\(\langle\left(\rho u_x u_z\right)^2\rangle_{xy}\)

ruyuz2mz

\(\langle\left(\rho u_y u_z\right)^2\rangle_{xy}\)

rufmz

\(\left< \varrho \uv \cdot \vec{F} \right>_{xy}\) , where \(\vec{F}\) is the continuous forcing (lforcing_cont_uu=T)

oxuxxmz

\(\left<\omega_x u_{x,x}\right>_{xy}\)

oyuxymz

\(\left<\omega_y u_{x,y}\right>_{xy}\)

oxuyxmz

\(\left<\omega_x u_{y,x}\right>_{xy}\)

oyuyymz

\(\left<\omega_y u_{y,y}\right>_{xy}\)

oxuzxmz

\(\left<\omega_x u_{z,x}\right>_{xy}\)

oyuzymz

\(\left<\omega_y u_{z,y}\right>_{xy}\)

uyxuzxmz

\(\left<u_{y,x} u_{z,x}\right>_{xy}\)

uyyuzymz

\(\left<u_{y,y} u_{z,y}\right>_{xy}\)

uyzuzzmz

\(\left<u_{y,z} u_{z,z}\right>_{xy}\)

ekinmz

\(\left<{1\over2}\varrho\uv^2\right>_{xy}\)

oumz

\(\left<\boldsymbol{\omega} \cdot\uv\right>_{xy}\)

uguxmz

uguymz

uguzmz

Remz

\(\langle\frac{|\uv\cdot\uv|}{\left| \frac{\partial}{\partial x_j} (\nu{\sf S}_{ij})\right|}\rangle_{xy}\)

oguxmz

\(\left<(\boldsymbol{\omega} \cdot\nabla \uv)_x\right>_{xy}\)

oguymz

\(\left<(\boldsymbol{\omega} \cdot\nabla \uv)_y\right>_{xy}\)

oguzmz

\(\left<(\boldsymbol{\omega} \cdot\nabla \uv)_z\right>_{xy}\)

ogux2mz

\(\left<(\boldsymbol{\omega} \cdot\nabla \uv)_x^2\right>_{xy}\)

oguy2mz

\(\left<(\boldsymbol{\omega} \cdot\nabla \uv)_y^2\right>_{xy}\)

oguz2mz

$left<(boldsymbol{omega}

oxdivumz

\(\left<\omega_x\nabla\cdot\uv\right>_{xy}\)

oydivumz

\(\left<\omega_y\nabla\cdot\uv\right>_{xy}\)

ozdivumz

\(\left<\omega_z\nabla\cdot\uv\right>_{xy}\)

oxdivu2mz

\(\left<(\omega_x\nabla\cdot\uv)^2\right>_{xy}\)

oydivu2mz

\(\left<(\omega_y\nabla\cdot\uv)^2\right>_{xy}\)

ozdivu2mz

\(\left<(\omega_z\nabla\cdot\uv)^2\right>_{xy}\)

u3u21mz

u1u32mz

u2u13mz

u2u31mz

u3u12mz

u1u23mz

acczmz

\(\left<Du_z/Dt\right>_{xy}\)

acczupmz

\(\left<Du_z/Dt\right>_{xy+}\)

acczdownmz

\(\left<Du_z/Dt\right>_{xy-}\)

accpowzmz

\(\left<(u_z Du_z/Dt)^2\right>_{xy}\)

accpowzupmz

\(\left<(u_z Du_z/Dt)^2\right>_{xy+}\)

accpowzdownmz

\(\left<(u_z Du_z/Dt)^2\right>_{xy-}\)

totalforcezmz

\(\left<\varrho Du_z/Dt\right>_{xy}\)

totalforcezupmz

\(\left<\varrho Du_z/Dt\right>_{xy+}\)

totalforcezdownmz

\(\left<\varrho Du_z/Dt\right>_{xy-}\)

Module hydro_potential.f90

Variable

Meaning

u2mz

\(\left< \uv^2 \right>_{xy}\)

o2mz

\(\left< \Wv^2 \right>_{xy}\)

divu2mz

\(\left<(\nabla\cdot\uv)^2\right>_{xy}\)

curlru2mz

\(\left<(\nabla\times\varrho\Uv)^2 \right>_{xy}\)

divru2mz

\(\left<(\nabla\cdot\varrho\uv)^2\right>_{xy}\)

fmasszmz

\(\left< \varrho u_z \right>_{xy}\)

fkinzmz

\(\left<{1\over2}\varrho\uv^2 u_z\right>_{xy}\)

uxmz

\(\left< u_x \right>_{xy}\) \(\quad\) (horiz. averaged \(x\) velocity)

uymz

\(\left< u_y \right>_{xy}\)

uzmz

\(\left< u_z \right>_{xy}\)

uzupmz

\(\left< u_{z\uparrow} \right>_{xy}\)

uzdownmz

\(\left< u_{z\downarrow} \right>_{xy}\)

ruzupmz

\(\left< \varrho u_{z\uparrow} \right>_{xy}\)

ruzdownmz

\(\left< \varrho u_{z\downarrow} \right>_{xy}\)

divumz

\(\left< {\mathrm div}\uv \right>_{xy}\)

uzdivumz

\(\left< u_z{\mathrm div}\uv \right>_{xy}\)

oxmz

\(\left< \omega_x \right>_{xy}\)

oymz

\(\left< \omega_y \right>_{xy}\)

ozmz

\(\left< \omega_z \right>_{xy}\)

ux2mz

\(\left<u_x^2\right>_{xy}\)

uy2mz

\(\left<u_y^2\right>_{xy}\)

uz2mz

\(\left<u_z^2\right>_{xy}\)

ox2mz

\(\left< \omega_x^2 \right>_{xy}\)

oy2mz

\(\left< \omega_y^2 \right>_{xy}\)

oz2mz

\(\left< \omega_z^2 \right>_{xy}\)

ruxmz

\(\left<\varrho u_x \right>_{xy}\)

ruymz

\(\left<\varrho u_y \right>_{xy}\)

ruzmz

\(\left<\varrho u_z \right>_{xy}\)

rux2mz

\(\left<\varrho u_x^2\right>_{xy}\)

ruy2mz

\(\left<\varrho u_y^2\right>_{xy}\)

ruz2mz

\(\left<\varrho u_z^2\right>_{xy}\)

uxuymz

\(\left<u_x u_y\right>_{xy}\)

uxuzmz

\(\left<u_x u_z\right>_{xy}\)

uyuzmz

\(\left<u_y u_z\right>_{xy}\)

ruxuymz

\(\langle\rho u_x u_y\rangle_{xy}\)

ruxuzmz

\(\langle\rho u_x u_z\rangle_{xy}\)

ruyuzmz

\(\langle\rho u_y u_z\rangle_{xy}\)

ruxuy2mz

\(\langle\rho u_x u_y\rangle_{xy}\)

ruxuz2mz

\(\langle\rho u_x u_z\rangle_{xy}\)

ruyuz2mz

\(\langle\rho u_y u_z\rangle_{xy}\)

oxuxxmz

\(\left<\omega_x u_{x,x}\right>_{xy}\)

oyuxymz

\(\left<\omega_y u_{x,y}\right>_{xy}\)

oxuyxmz

\(\left<\omega_x u_{y,x}\right>_{xy}\)

oyuyymz

\(\left<\omega_y u_{y,y}\right>_{xy}\)

oxuzxmz

\(\left<\omega_x u_{z,x}\right>_{xy}\)

oyuzymz

\(\left<\omega_y u_{z,y}\right>_{xy}\)

uyxuzxmz

\(\left<u_{y,x} u_{z,x}\right>_{xy}\)

uyyuzymz

\(\left<u_{y,y} u_{z,y}\right>_{xy}\)

uyzuzzmz

\(\left<u_{y,z} u_{z,z}\right>_{xy}\)

ekinmz

\(\left<{1\over2}\varrho\uv^2\right>_{xy}\)

oumz

\(\left<\boldsymbol{\omega} \cdot\uv\right>_{xy}\)

Remz

\(\langle\frac{|\uv\cdot\uv|}{\left| \frac{\partial}{\partial x_j} (\nu{\sf S}_{ij})\right|}\rangle_{xy}\)

oguxmz

\(\left<(\boldsymbol{\omega} \cdot\nabla \uv)_x\right>_{xy}\)

oguymz

\(\left<(\boldsymbol{\omega} \cdot\nabla \uv)_y\right>_{xy}\)

oguzmz

\(\left<(\boldsymbol{\omega} \cdot\nabla \uv)_z\right>_{xy}\)

ogux2mz

\(\left<(\boldsymbol{\omega} \cdot\nabla \uv)_x^2\right>_{xy}\)

oguy2mz

\(\left<(\boldsymbol{\omega} \cdot\nabla \uv)_y^2\right>_{xy}\)

oguz2mz

$left<(boldsymbol{omega}

oxdivumz

\(\left<\omega_x\nabla\cdot\uv\right>_{xy}\)

oydivumz

\(\left<\omega_y\nabla\cdot\uv\right>_{xy}\)

ozdivumz

\(\left<\omega_z\nabla\cdot\uv\right>_{xy}\)

oxdivu2mz

\(\left<(\omega_x nabla\cdot\uv)^2\right>_{xy}\)

oydivu2mz

\(\left<(\omega_y\nabla\cdot\uv)^2\right>_{xy}\)

ozdivu2mz

\(\left<(\omega_z\nabla\cdot\uv)^2\right>_{xy}\)

u3u21mz

u1u32mz

u2u13mz

u2u31mz

u3u12mz

u1u23mz

accpowzmz

\(\left<(u_z Du_z/Dt)^2\right>_{xy}\)

accpowzupmz

\(\left<(u_z Du_z/Dt)^2\right>_{xy+}\)

accpowzdownmz

\(\left<(u_z Du_z/Dt)^2\right>_{xy-}\)

Module interstellar.f90

Variable

Meaning

rhoHCmz

\(\left<\rho\Gamma-\rho^2\Lambda\right>_{xy}\)

Module magnetic.f90

Variable

Meaning

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

\(\left<{\cal E}_z\right>_{xy}\)

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

\(\left< B_z^2/\varrho \right>_{xy}\)

beta1mz

\(\left< (B^2 / 2\mu_0) / p \right>_{xy}\)

betamz

\(\langle\beta\rangle_{xy}\)

beta2mz

\(\langle\beta^2\rangle_{xy}\)

jbmz

\(\left<\Jv\cdot\Bv\right>|_{xy}\)

bdel2amz

\(\left<\Bv\cdot\nabla^2\Av)\right>|_{xy}\)

jdel2amz

\(\left<\Jv\cdot\nabla^2\Av)\right>|_{xy}\)

d6abmz

\(\left<\nabla^6 \Av\cdot\Bv\right>|_{xy}\)

d6amz1

\(\left<\nabla^6 \Av \right>_{xy}|_x\)

d6amz2

\(\left<\nabla^6 \Av \right>_{xy}|_y\)

d6amz3

\(\left<\nabla^6 \Av \right>_{xy}|_z\)

abmz

\(\left<\Av\cdot\Bv\right>|_{xy}\)

ubmz

\(\left<\uv\cdot\Bv\right>|_{xy}\)

ujmz

\(\left<\uv\cdot\Jv\right>|_{xy}\)

obmz

\(\left<\ov\cdot\Bv\right>|_{xy}\)

uamz

\(\left<\uv\cdot\Av\right>|_{xy}\)

bzuamz

\(\left<B_z\uv\cdot\Av\right>|_{xy}\)

bzaymz

\(\left<B_z A_y\right>|_{xy}\)

bzdivamz

\(\left<B_z\nabla\cdot\Av\right>|_{xy}\)

bzLammz

\(\left<B_z\Lambda\right>|_{xy}\)

divamz

\(\left<\nabla\cdot\Av\right>|_{xy}\)

uxbxmz

\(\left<u_x b_x\right>|_{xy}\)

uybxmz

\(\left<u_y b_x\right>|_{xy}\)

uzbxmz

\(\left<u_z b_x\right>|_{xy}\)

uxbymz

\(\left<u_x b_y\right>|_{xy}\)

uybymz

\(\left<u_y b_y\right>|_{xy}\)

uzbymz

\(\left<u_z b_y\right>|_{xy}\)

uxbzmz

\(\left<u_x b_z\right>|_{xy}\)

uybzmz

\(\left<u_y b_z\right>|_{xy}\)

uzbzmz

\(\left<u_z b_z\right>|_{xy}\)

ujxbmz

\(\left<\uv\cdot(\Jv\times\Bv)\right>_{xy}\)

examz1

\(\left<\Ev\times\Av\right>_{xy}|_x\)

examz2

\(\left<\Ev\times\Av\right>_{xy}|_y\)

examz3

\(\left<\Ev\times\Av\right>_{xy}|_z\)

exatotalmz1

\(\left<\Ev\times\Av\right>_{xy}|_x\)

exatotalmz2

\(\left<\Ev\times\Av\right>_{xy}|_y\)

exatotalmz3

\(\left<\Ev\times\Av\right>_{xy}|_z\)

e3xamz1

\(\left<\Ev_{hyper3}\times\Av\right>_{xy}|_x\)

e3xamz2

\(\left<\Ev_{hyper3}\times\Av\right>_{xy}|_y\)

e3xamz3

\(\left<\Ev_{hyper3}\times\Av\right>_{xy}|_z\)

etatotalmz

\(\left<\eta\right>_{xy}\)

ay2mz

\(\left< A_y^2 \right>_{xy}\)

aybxmz

\(\left< A_y B_x \right>_{xy}\)

bxbymz

\(\left< B_x B_y \right>_{xy}\)

bxbzmz

\(\left< B_x B_z \right>_{xy}\)

bybzmz

\(\left< B_y B_z \right>_{xy}\)

jxbrxmz

jxbrymz

jxbrzmz

a2mz

\(\left<\Av^2\right>_{xy}\)

b2mz

\(\left<\Bv^2\right>_{xy}\)

bf2mz

\(\left<\Bv'^2\right>_{xy}\)

j2mz

\(\left<\jv^2\right>_{xy}\)

poynzmz

Averaged poynting flux in z direction

bcurlfmz

\(\left< \Bv \cdot \nabla\times \vec{F}/\mu_0\right>_{xy}\) , where \(\vec{F}\) is the additional EMF imposed through continuous forcing (lforcing_cont_aa=T)

epsMmz

\(\left<\eta\mu_0\jv^2\right>_{xy}\)

vmagfricmz

\(\left<1/\nu_{\mathrm mag}|\jv\times\Bv/\Bv^2|\right>_{xy}\)

bxph1mz

\(\left<{\cal B}_x\right>_{xy}|_{\mathrm phase 1}\)

bxph2mz

\(\left<{\cal B}_x\right>_{xy}|_{\mathrm phase 2}\)

bxph3mz

\(\left<{\cal B}_x\right>_{xy}|_{\mathrm phase 3}\)

byph1mz

\(\left<{\cal B}_y\right>_{xy}|_{\mathrm phase 1}\)

byph2mz

\(\left<{\cal B}_y\right>_{xy}|_{\mathrm phase 2}\)

byph3mz

\(\left<{\cal B}_y\right>_{xy}|_{\mathrm phase 3}\)

bzph1mz

\(\left<{\cal B}_z\right>_{xy}|_{\mathrm phase 1}\)

bzph2mz

\(\left<{\cal B}_z\right>_{xy}|_{\mathrm phase 2}\)

bzph3mz

\(\left<{\cal B}_z\right>_{xy}|_{\mathrm phase 3}\)

bx2ph1mz

\(\left<{\cal B}_x^2\right>_{xy}|_{\mathrm phase 1}\)

bx2ph2mz

\(\left<{\cal B}_x^2\right>_{xy}|_{\mathrm phase 2}\)

bx2ph3mz

\(\left<{\cal B}_x^2\right>_{xy}|_{\mathrm phase 3}\)

by2ph1mz

\(\left<{\cal B}_y^2\right>_{xy}|_{\mathrm phase 1}\)

by2ph2mz

\(\left<{\cal B}_y^2\right>_{xy}|_{\mathrm phase 2}\)

by2ph3mz

\(\left<{\cal B}_y^2\right>_{xy}|_{\mathrm phase 3}\)

bz2ph1mz

\(\left<{\cal B}_z^2\right>_{xy}|_{\mathrm phase 1}\)

bz2ph2mz

\(\left<{\cal B}_z^2\right>_{xy}|_{\mathrm phase 2}\)

bz2ph3mz

\(\left<{\cal B}_z^2\right>_{xy}|_{\mathrm phase 3}\)

bx2rph1mz

\(\left< B_x^2/\varrho \right>_{xy}|_{\mathrm phase 1}\)

bx2rph2mz

\(\left< B_x^2/\varrho \right>_{xy}|_{\mathrm phase 2}\)

bx2rph3mz

\(\left< B_x^2/\varrho \right>_{xy}|_{\mathrm phase 3}\)

by2rph1mz

\(\left< B_y^2/\varrho \right>_{xy}|_{\mathrm phase 1}\)

by2rph2mz

\(\left< B_y^2/\varrho \right>_{xy}|_{\mathrm phase 2}\)

by2rph3mz

\(\left< B_y^2/\varrho \right>_{xy}|_{\mathrm phase 3}\)

bz2rph1mz

\(\left< B_z^2/\varrho \right>_{xy}|_{\mathrm phase 1}\)

bz2rph2mz

\(\left< B_z^2/\varrho \right>_{xy}|_{\mathrm phase 2}\)

bz2rph3mz

\(\left< B_z^2/\varrho \right>_{xy}|_{\mathrm phase 3}\)

abph1mz

\(\left<\Av\cdot\Bv\right>|_{xy}|_{\mathrm phase 1}\)

abph2mz

\(\left<\Av\cdot\Bv\right>|_{xy}|_{\mathrm phase 2}\)

abph3mz

\(\left<\Av\cdot\Bv\right>|_{xy}|_{\mathrm phase 3}\)

jbph1mz

\(\left<\Jv\cdot\Bv\right>|_{xy}|_{\mathrm phase 1}\)

jbph2mz

\(\left<\Jv\cdot\Bv\right>|_{xy}|_{\mathrm phase 2}\)

jbph3mz

\(\left<\Jv\cdot\Bv\right>|_{xy}|_{\mathrm phase 3}\)

poynzph1mz

Averaged poynting flux in z direction for phase 1

poynzph2mz

Averaged poynting flux in z direction for phase 2

poynzph3mz

Averaged poynting flux in z direction for phase 3

jxph1mz

\(\left<{\cal J}_x\right>_{xy}|_{\mathrm phase 1}\)

jxph2mz

\(\left<{\cal J}_x\right>_{xy}|_{\mathrm phase 2}\)

jxph3mz

\(\left<{\cal J}_x\right>_{xy}|_{\mathrm phase 3}\)

jyph1mz

\(\left<{\cal J}_y\right>_{xy}|_{\mathrm phase 1}\)

jyph2mz

\(\left<{\cal J}_y\right>_{xy}|_{\mathrm phase 2}\)

jyph3mz

\(\left<{\cal J}_y\right>_{xy}|_{\mathrm phase 3}\)

jzph1mz

\(\left<{\cal J}_z\right>_{xy}|_{\mathrm phase 1}\)

jzph2mz

\(\left<{\cal J}_z\right>_{xy}|_{\mathrm phase 2}\)

jzph3mz

\(\left<{\cal J}_z\right>_{xy}|_{\mathrm phase 3}\)

Module shock_highorder.f90

Variable

Meaning

shockmz

Module temperature_idealgas.f90

Variable

Meaning

ppmz

\(\left<p\right>_{xy}\)

ppuzmz

TTmz

\(\left<T\right>_{xy}\)

ethmz

\(\left< e_{\text{th}} \right>_{xy}\)

ethuxmz

ethuymz

ethuzmz

fpresxmz

\(\left<(\nabla p)_x\right>_{xy}\)

fpresymz

\(\left<(\nabla p)_y\right>_{xy}\)

fpreszmz

\(\left<(\nabla p)_z\right>_{xy}\)

TT2mz

\(\left<T^2\right>_{xy}\)

uxTmz

\(\left<u_x T\right>_{xy}\)

uyTmz

\(\left<u_y T\right>_{xy}\)

uzTmz

\(\left<u_z T\right>_{xy}\)

fradmz

\(\left<F_{\mathrm rad}\right>_{xy}\)

fconvmz

\(\left<c_p \varrho u_z T \right>_{xy}\)

Module temperature_ionization.f90

Variable

Meaning

puzmz

\(\left<p u_z \right>_{xy}\)

pr1mz

\(\left<p/\varrho \right>_{xy}\)

eruzmz

\(\left<e \varrho u_z \right>_{xy}\)

ffakez

\(\left<\varrho u_z c_p T \right>_{xy}\)

mumz

\(\left<\mu\right>_{xy}\)

TTmz

\(\left< T \right>_{xy}\)

ssmz

\(\left< s \right>_{xy}\)

eemz

\(\left< e \right>_{xy}\)

ppmz

\(\left< p \right>_{xy}\)

Module thermal_energy.f90

Variable

Meaning

ppmz

\(\left<p\right>_{xy}\)

TTmz

\(\left<T\right>_{xy}\)

Module viscosity.f90

Variable

Meaning

fviscmz

\(\left<2\nu\varrho u_i \mathcal{S}_{iz} \right>_{xy}\) (\(z\) -component of viscous flux)

fviscsmmz

\(\left<2\nu_{\mathrm Smag}\varrho u_i \mathcal{S}_{iz} \right>_{xy}\) (\(z\) -component of viscous flux)

epsKmz

\(\left<2\nu\varrho\Strain^2 \right>_{xy}\)

sijxxmz

\(\left<\Strain_{xx} \right>_{xy}\)

sijxymz

\(\left<\Strain_{xy} \right>_{xy}\)

sijxzmz

\(\left<\Strain_{xz} \right>_{xy}\)

sijyymz

\(\left<\Strain_{yy} \right>_{xy}\)

sijyzmz

\(\left<\Strain_{yz} \right>_{xy}\)

sijzzmz

\(\left<\Strain_{zz} \right>_{xy}\)

viscforcezmz

\(\left<(\varrho\fv_{\mathrm visc})_z\right>_{xy}\)

viscforcezupmz

\(\left<(\varrho\fv_{\mathrm visc})_z\right>_{xy+}\)

viscforcezdownmz

\(\left<(\varrho\fv_{\mathrm visc})_z\right>_{xy-}\)

Module experimental/magnetic_shearboxJ.f90

Variable

Meaning

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

\(\left<{\cal E}_z\right>_{xy}\)

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

\(\left< B_z^2/\varrho \right>_{xy}\)

beta1mz

\(\left< (B^2 / 2\mu_0) / p \right>_{xy}\)

betamz

\(\langle\beta\rangle_{xy}\)

beta2mz

\(\langle\beta^2\rangle_{xy}\)

jbmz

\(\left<\Jv\cdot\Bv\right>|_{xy}\)

d6abmz

\(\left<\nabla^6 \Av\cdot\Bv\right>|_{xy}\)

d6amz1

\(\left<\nabla^6 \Av \right>_{xy}|_x\)

d6amz2

\(\left<\nabla^6 \Av \right>_{xy}|_y\)

d6amz3

\(\left<\nabla^6 \Av \right>_{xy}|_z\)

abmz

\(\left<\Av\cdot\Bv\right>|_{xy}\)

ubmz

\(\left<\uv\cdot\Bv\right>|_{xy}\)

uamz

\(\left<\uv\cdot\Av\right>|_{xy}\)

uxbxmz

\(\left<u_x b_x\right>|_{xy}\)

uybxmz

\(\left<u_y b_x\right>|_{xy}\)

uzbxmz

\(\left<u_z b_x\right>|_{xy}\)

uxbymz

\(\left<u_x b_y\right>|_{xy}\)

uybymz

\(\left<u_y b_y\right>|_{xy}\)

uzbymz

\(\left<u_z b_y\right>|_{xy}\)

uxbzmz

\(\left<u_x b_z\right>|_{xy}\)

uybzmz

\(\left<u_y b_z\right>|_{xy}\)

uzbzmz

\(\left<u_z b_z\right>|_{xy}\)

examz1

\(\left<\Ev\times\Av\right>_{xy}|_x\)

examz2

\(\left<\Ev\times\Av\right>_{xy}|_y\)

examz3

\(\left<\Ev\times\Av\right>_{xy}|_z\)

e3xamz1

\(\left<\Ev_{hyper3}\times\Av\right>_{xy}|_x\)

e3xamz2

\(\left<\Ev_{hyper3}\times\Av\right>_{xy}|_y\)

e3xamz3

\(\left<\Ev_{hyper3}\times\Av\right>_{xy}|_z\)

etatotalmz

\(\left<\eta\right>_{xy}\)

bxbymz

\(\left< B_x B_y \right>_{xy}\)

bxbzmz

\(\left< B_x B_z \right>_{xy}\)

bybzmz

\(\left< B_y B_z \right>_{xy}\)

jxbrxmz

jxbrymz

jxbrzmz

b2mz

\(\left<\Bv^2\right>_{xy}\)

bf2mz

\(\left<\Bv'^2\right>_{xy}\)

j2mz

\(\left<\jv^2\right>_{xy}\)

poynzmz

Averaged poynting flux in z direction

epsMmz

\(\left<\eta\mu_0\jv^2\right>_{xy}\)

Module magnetic/meanfield.f90

Variable

Meaning

qpmz

\(\left<q_p\right>_{xy}\)

Module special/disp_current.f90

Variable

Meaning

exmz

\(\left<{\cal E}_x\right>_{xy}\)

eymz

\(\left<{\cal E}_y\right>_{xy}\)

ezmz

\(\left<{\cal E}_z\right>_{xy}\)

e2mz

\(\left<\bm{E}^2\right>_{xy}\)

Module special/electroweaksu2.f90

Variable

Meaning

W1xmz

\(\left<{\cal W}_x^1\right>_{xy}\)

W1ymz

\(\left<{\cal W}_y^1\right>_{xy}\)

W1zmz

\(\left<{\cal W}_z^1\right>_{xy}\)

W2xmz

\(\left<{\cal W}_x^2\right>_{xy}\)

W2ymz

\(\left<{\cal W}_y^2\right>_{xy}\)

W2zmz

\(\left<{\cal W}_z^2\right>_{xy}\)

W3xmz

\(\left<{\cal W}_x^3\right>_{xy}\)

W3ymz

\(\left<{\cal W}_y^3\right>_{xy}\)

W3zmz

\(\left<{\cal W}_z^3\right>_{xy}\)

dW1xmz

\(\left<\dot{\cal W}_x^1\right>_{xy}\)

dW1ymz

\(\left<\dot{\cal W}_y^1\right>_{xy}\)

dW1zmz

\(\left<\dot{\cal W}_z^1\right>_{xy}\)

dW2xmz

\(\left<\dot{\cal W}_x^2\right>_{xy}\)

dW2ymz

\(\left<\dot{\cal W}_y^2\right>_{xy}\)

dW2zmz

\(\left<\dot{\cal W}_z^2\right>_{xy}\)

dW3xmz

\(\left<\dot{\cal W}_x^3\right>_{xy}\)

dW3ymz

\(\left<\dot{\cal W}_y^3\right>_{xy}\)

dW3zmz

\(\left<\dot{\cal W}_z^3\right>_{xy}\)