=====================================
List of parameters for ``phiaver.in``
=====================================
This page lists 117 variables distributed into 12 files. Of these:

- 90 (77%) are documented;
- 27 (23%) are undocumented.

Some of the variable names are shared amongst modules, so there are 73 unique names:

- 47 variables appear 1 time;
- 8 variables appear 2 times;
- 18 variables appear 3 times.

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Module *cdata.f90*
~~~~~~~~~~~~~~~~~~
.. list-table::
   :header-rows: 1
   :widths: 25 75

   * - Variable
     - Meaning
   * - *rcylmphi*
     - cylindrical radius :math:`\varpi = \sqrt{x^2+y^2}`  (useful for debugging azimuthal averages)
   * - *phimphi*
     - azimuthal angle :math:`\varphi = \arctan\frac{y}{x}`  (useful for debugging)
   * - *zmphi*
     - :math:`z` -coordinate (useful for debugging)
   * - *rmphi*
     - spherical radius :math:`r=\sqrt{\varpi^2+z^2}`  (useful for debugging)

Module *density.f90*
~~~~~~~~~~~~~~~~~~~~
.. list-table::
   :header-rows: 1
   :widths: 25 75

   * - Variable
     - Meaning
   * - *lnrhomphi*
     - :math:`\left<\ln\varrho\right>_\varphi`
   * - *rhomphi*
     - :math:`\left<\varrho\right>_\varphi`

Module *entropy.f90*
~~~~~~~~~~~~~~~~~~~~
.. list-table::
   :header-rows: 1
   :widths: 25 75

   * - Variable
     - Meaning
   * - *ssmphi*
     - :math:`\left<s\right>_\varphi`
   * - *ss2mphi*
     - :math:`\left<s^2\right>_\varphi`
   * - *cs2mphi*
     - :math:`\left<c^2_s\right>_\varphi`
   * - *TTmphi*
     - :math:`\left<T\right>_\varphi`
   * - *ppmphi*
     - :math:`\left<p\right>_\varphi`
   * - *dcoolmphi*
     - divergence of combined heating and cooling fluxes
   * - *divcoolmphi*
     - divergence of cooling flux
   * - *divheatmphi*
     - divergence of heating flux
   * - *fradrsphmphi_kramers*
     - :math:`F_{\mathrm rad}`  (:math:`\varphi` -averaged, from Kramers' opacity)
   * - *fradrsphmphi_Kconst*
     - :math:`F_{\mathrm rad}`  (:math:`\varphi` -averaged, for K-const)
   * - *fradrsphmphi_Kprof*
     - :math:`F_{\mathrm rad}`  (:math:`\varphi` -averaged, for K-profile)
   * - *fconvrsphmphi*
     - :math:`\left<c_p \varrho u_r T \right>_\varphi`
   * - *fconvthsphmphi*
     - :math:`\left<c_p \varrho u_\theta T \right>_\varphi`
   * - *fconvpsphmphi*
     - :math:`\left<c_p \varrho u_\phi T \right>_\varphi`
   * - *ursphTTmphi*
     - :math:`\left<u_r T \right>_\varphi`
   * - *fturbrsphmphi*
     - :math:`F_{\mathrm SGS}`  (:math:`\varphi` -averaged SGS diffusion for star-in-a-box simulations)

Module *hydro.f90*
~~~~~~~~~~~~~~~~~~
.. list-table::
   :header-rows: 1
   :widths: 25 75

   * - Variable
     - Meaning
   * - *urmphi*
     - :math:`\left<u_\varpi\right>_\varphi`  [cyl.\ polar coords :math:`(\varpi,\varphi,z)` ]
   * - *upmphi*
     - :math:`\left<u_\varphi\right>_\varphi`
   * - *uzmphi*
     - :math:`\left<u_z\right>_\varphi`
   * - *rurmphi*
     - :math:`\left<\rho u_\varpi\right>_\varphi`
   * - *rupmphi*
     - :math:`\left<\rho u_\varphi\right>_\varphi`
   * - *ruzmphi*
     - :math:`\left<\rho u_z\right>_\varphi`
   * - *ur2mphi*
     - :math:`\left<u_\varpi^2\right>_\varphi`
   * - *up2mphi*
     - :math:`\left<u_\varphi^2\right>_\varphi`
   * - *uz2mphi*
     - :math:`\left<u_z^2\right>_\varphi`
   * - *urupmphi*
     - :math:`\left<u_\varpi u_\varphi\right>_\varphi`
   * - *uruzmphi*
     - :math:`\left<u_\varpi u_z \right>_\varphi`
   * - *upuzmphi*
     - :math:`\left<u_\varphi u_z \right>_\varphi`
   * - *rurupmphi*
     - :math:`\left<\rho u_\varpi u_\varphi\right>_\varphi`
   * - *ruruzmphi*
     - :math:`\left<\rho u_\varpi u_z \right>_\varphi`
   * - *rupuzmphi*
     - :math:`\left<\rho u_\varphi u_z \right>_\varphi`
   * - *ursphmphi*
     - :math:`\left<u_r\right>_\varphi`
   * - *uthmphi*
     - :math:`\left<u_\vartheta\right>_\varphi`
   * - *rursphmphi*
     - :math:`\left<\rho u_r\right>_\varphi`
   * - *ruthmphi*
     - :math:`\left<\rho u_\vartheta\right>_\varphi`  shorthand for \var{urmphi}, \var{upmphi} and \var{uzmphi} together shorthand for \var{ursphmphi}, \var{uthmphi} and \var{upmphi} together
   * - *u2mphi*
     - :math:`\left<\uv^2\right>_\varphi`
   * - *o2mphi*
     - :math:`\left<\boldsymbol{\omega}^2\right>_\varphi`
   * - *fkinrsphmphi*
     - :math:`\left<{1\over2}\varrho\uv^2 u_r\right>_{\varphi}`

Module *hydro_potential.f90*
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
.. list-table::
   :header-rows: 1
   :widths: 25 75

   * - Variable
     - Meaning
   * - *urmphi*
     - :math:`\left<u_\varpi\right>_\varphi`  [cyl.\ polar coords :math:`(\varpi,\varphi,z)` ]
   * - *upmphi*
     - :math:`\left<u_\varphi\right>_\varphi`
   * - *uzmphi*
     - :math:`\left<u_z\right>_\varphi`
   * - *ursphmphi*
     - :math:`\left<u_r\right>_\varphi`
   * - *uthmphi*
     - :math:`\left<u_\vartheta\right>_\varphi`  shorthand for \var{urmphi}, \var{upmphi} and \var{uzmphi} together shorthand for \var{ursphmphi}, \var{uthmphi} and \var{upmphi} together
   * - *u2mphi*
     - :math:`\left<\uv^2\right>_\varphi`

Module *magnetic.f90*
~~~~~~~~~~~~~~~~~~~~~
.. list-table::
   :header-rows: 1
   :widths: 25 75

   * - Variable
     - Meaning
   * - *jxbrmphi*
     -
   * - *jxbpmphi*
     -
   * - *jxbzmphi*
     -
   * - *jbmphi*
     - :math:`\left<\Jv\cdot\Bv\right>_\varphi`
   * - *armphi*
     -
   * - *apmphi*
     -
   * - *azmphi*
     -
   * - *brmphi*
     - :math:`\left<B_\varpi\right>_\varphi`  [cyl.\ polar coords :math:`(\varpi,\varphi,z)` ]
   * - *bpmphi*
     - :math:`\left<B_\varphi\right>_\varphi`
   * - *bzmphi*
     - :math:`\left<B_z\right>_\varphi`
   * - *br2mphi*
     - :math:`\left<B^2_\varpi\right>_\varphi`
   * - *bp2mphi*
     - :math:`\left<B^2_\varphi\right>_\varphi`
   * - *bz2mphi*
     - :math:`\left<B^2_z\right>_\varphi`  shorthand for \var{brmphi}, \var{bpmphi} and \var{bzmphi} together shorthand for \var{brsphmphi}, \var{bthmphi} and \var{bpmphi} together
   * - *b2mphi*
     - :math:`\left<\Bv^2\right>_\varphi`
   * - *brsphmphi*
     - :math:`\left<B_r\right>_\varphi`
   * - *bthmphi*
     - :math:`\left<B_\vartheta\right>_\varphi`
   * - *brsmphi*
     - :math:`\left<\sin\theta B_\varpi\right>_\varphi`
   * - *brcmphi*
     - :math:`\left<\cos\theta B_\varpi\right>_\varphi`
   * - *bpsmphi*
     - :math:`\left<\sin\theta B_\varphi\right>_\varphi`
   * - *bpcmphi*
     - :math:`\left<\cos\theta B_\varphi\right>_\varphi`
   * - *bzsmphi*
     - :math:`\left<\sin\theta B_z\right>_\varphi`
   * - *bzcmphi*
     - :math:`\left<\cos\theta B_z\right>_\varphi`
   * - *uxbrmphi*
     -
   * - *uxbpmphi*
     -
   * - *uxbzmphi*
     -
   * - *brbpmphi*
     - :math:`\left<B_\varpi B_\varphi\right>_\varphi`
   * - *brbzmphi*
     - :math:`\left<B_\varpi B_z \right>_\varphi`
   * - *bpbzmphi*
     - :math:`\left<B_\varphi B_z \right>_\varphi`

Module *viscosity.f90*
~~~~~~~~~~~~~~~~~~~~~~
.. list-table::
   :header-rows: 1
   :widths: 25 75

   * - Variable
     - Meaning
   * - *fviscrsphmphi*
     - :math:`\left<2\nu\varrho u_i \mathcal{S}_{ir} \right>_\varphi`  (:math:`r` -xomponent of viscous flux)

Module *experimental/anelastic.f90*
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
.. list-table::
   :header-rows: 1
   :widths: 25 75

   * - Variable
     - Meaning
   * - *lnrhomphi*
     - :math:`\left<\ln\varrho\right>_\varphi`
   * - *rhomphi*
     - :math:`\left<\varrho\right>_\varphi`

Module *experimental/entropy_anelastic.f90*
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
.. list-table::
   :header-rows: 1
   :widths: 25 75

   * - Variable
     - Meaning
   * - *ssmphi*
     - :math:`\left<s\right>_\varphi`
   * - *cs2mphi*
     - :math:`\left<c^2_s\right>_\varphi`

Module *experimental/magnetic_shearboxJ.f90*
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
.. list-table::
   :header-rows: 1
   :widths: 25 75

   * - Variable
     - Meaning
   * - *jxbrmphi*
     -
   * - *jxbpmphi*
     -
   * - *jxbzmphi*
     -
   * - *jbmphi*
     - :math:`\left<\Jv\cdot\Bv\right>_\varphi`
   * - *armphi*
     -
   * - *apmphi*
     -
   * - *azmphi*
     -
   * - *brmphi*
     - :math:`\left<B_\varpi\right>_\varphi`  [cyl.\ polar coords :math:`(\varpi,\varphi,z)` ]
   * - *bpmphi*
     - :math:`\left<B_\varphi\right>_\varphi`
   * - *bzmphi*
     - :math:`\left<B_z\right>_\varphi`  shorthand for \var{brmphi}, \var{bpmphi} and \var{bzmphi} together shorthand for \var{brsphmphi}, \var{bthmphi} and \var{bpmphi} together
   * - *b2mphi*
     - :math:`\left<\Bv^2\right>_\varphi`
   * - *brsphmphi*
     - :math:`\left<B_r\right>_\varphi`
   * - *bthmphi*
     - :math:`\left<B_\vartheta\right>_\varphi`
   * - *uxbrmphi*
     -
   * - *uxbpmphi*
     -
   * - *uxbzmphi*
     -

Module *obsolete/density_anelastic.f90*
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
.. list-table::
   :header-rows: 1
   :widths: 25 75

   * - Variable
     - Meaning
   * - *lnrhomphi*
     - :math:`\left<\ln\varrho\right>_\varphi`
   * - *rhomphi*
     - :math:`\left<\varrho\right>_\varphi`

Module *obsolete/magnetic_old.f90*
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
.. list-table::
   :header-rows: 1
   :widths: 25 75

   * - Variable
     - Meaning
   * - *jbmphi*
     - :math:`\left<\Jv\cdot\Bv\right>_\varphi`
   * - *brmphi*
     - :math:`\left<B_\varpi\right>_\varphi`  [cyl.\ polar coords :math:`(\varpi,\varphi,z)` ]
   * - *bpmphi*
     - :math:`\left<B_\varphi\right>_\varphi`
   * - *bzmphi*
     - :math:`\left<B_z\right>_\varphi`  shorthand for \var{brmphi}, \var{bpmphi} and \var{bzmphi} together
   * - *b2mphi*
     - :math:`\left<\Bv^2\right>_\varphi`
   * - *brsphmphi*
     - :math:`\left<B_r\right>_\varphi`
   * - *bthmphi*
     - :math:`\left<B_\vartheta\right>_\varphi`
   * - *uxbrmphi*
     -
   * - *uxbpmphi*
     -
   * - *uxbzmphi*
     -
   * - *jxbrmphi*
     -
   * - *jxbpmphi*
     -
   * - *jxbzmphi*
     -
   * - *armphi*
     -
   * - *apmphi*
     -
   * - *azmphi*
     -