%% $Id$
%% This file was automatically generated by Pencil::DocExtractor,
%% so think twice before you modify it.
%%
%% Source files:
%%   hydro.f90
%%   density.f90
%%   entropy.f90
%%   magnetic.f90
%%   density_stratified.f90
%%   gravity_simple.f90
%%   magnetic_shearboxJ.f90
%%   temperature_idealgas.f90
%%   thermal_energy.f90
%%   viscosity.f90

% ---------------------------------------------------------------- %
\begin{longtable}{lp{0.7\textwidth}}
\toprule
  \multicolumn{1}{c}{\emph{Variable}} & {\emph{Meaning}} \\
\midrule
  \multicolumn{2}{c}{Module \file{hydro.f90}} \\
\midrule
  \var{uxmxy}     & $\left< u_x \right>_{z}$ \\
  \var{uymxy}     & $\left< u_y \right>_{z}$ \\
  \var{uzmxy}     & $\left< u_z \right>_{z}$ \\
  \var{uxuymxy}   & $\left< u_x u_y \right>_{z}$ \\
  \var{uxuzmxy}   & $\left< u_x u_z \right>_{z}$ \\
  \var{uyuzmxy}   & $\left< u_y u_z \right>_{z}$ \\
  \var{oxmxy}     & $\left< \omega_x \right>_{z}$ \\
  \var{oymxy}     & $\left< \omega_y \right>_{z}$ \\
  \var{ozmxy}     & $\left< \omega_z \right>_{z}$ \\
  \var{oumxy}     & $\left<\boldsymbol{\omega}
                    \cdot\uv\right>_{z}$ \\
  \var{pvzmxy}    & $\left< (\omega_z+2\Omega)/\varrho
                    \right>_{z}$ \quad(z component of
                    potential vorticity) \\
  \var{uguxmxy}   & $\left< (\boldsymbol{u}\cdot\boldsymbol{\nabla} \boldsymbol{u})_x \right>_{z}$ \\
  \var{uguymxy}   & $\left< (\boldsymbol{u}\cdot\boldsymbol{\nabla} \boldsymbol{u})_y \right>_{z}$ \\
  \var{uguzmxy}   & $\left< (\boldsymbol{u}\cdot\boldsymbol{\nabla} \boldsymbol{u})_z \right>_{z}$ \\
  \var{ruxmxy}    & $\left< \rho u_x \right>_{z}$ \\
  \var{ruymxy}    & $\left< \rho u_y \right>_{z}$ \\
  \var{ruzmxy}    & $\left< \rho u_z \right>_{z}$ \\
  \var{ux2mxy}    & $\left< u_x^2 \right>_{z}$ \\
  \var{uy2mxy}    & $\left< u_y^2 \right>_{z}$ \\
  \var{uz2mxy}    & $\left< u_z^2 \right>_{z}$ \\
  \var{rux2mxy}   & $\left< \rho u_x^2 \right>_{z}$ \\
  \var{ruy2mxy}   & $\left< \rho u_y^2 \right>_{z}$ \\
  \var{ruz2mxy}   & $\left< \rho u_z^2 \right>_{z}$ \\
  \var{ruxuymxy}  & $\left< \rho u_x u_y \right>_{z}$ \\
  \var{ruxuzmxy}  & $\left< \rho u_x u_z \right>_{z}$ \\
  \var{ruyuzmxy}  & $\left< \rho u_y u_z \right>_{z}$ \\
  \var{fkinxmxy}  & $\left<{1\over2}\varrho\uv^2
                    u_x\right>_{z}$ \\
  \var{fkinymxy}  & $\left<{1\over2}\varrho\uv^2
                    u_y\right>_{z}$ \\
\midrule
  \multicolumn{2}{c}{Module \file{density.f90}} \\
\midrule
  \var{rhomxy}    & $\left<\varrho\right>_{z}$ \\
\midrule
  \multicolumn{2}{c}{Module \file{entropy.f90}} \\
\midrule
  \var{TTmxy}     & $\left< T \right>_{z}$ \\
  \var{ssmxy}     & $\left< s \right>_{z}$ \\
  \var{uxTTmxy}   & $\left< u_x T \right>_{z}$ \\
  \var{uyTTmxy}   & $\left< u_y T \right>_{z}$ \\
  \var{uzTTmxy}   & $\left< u_z T \right>_{z}$ \\
  \var{gTxmxy}    & $\left<\nabla_x T\right>_{z}$ \\
  \var{gTymxy}    & $\left<\nabla_y T\right>_{z}$ \\
  \var{gTzmxy}    & $\left<\nabla_z T\right>_{z}$ \\
  \var{gsxmxy}    & $\left<\nabla_x s\right>_{z}$ \\
  \var{gsymxy}    & $\left<\nabla_y s\right>_{z}$ \\
  \var{gszmxy}    & $\left<\nabla_z s\right>_{z}$ \\
  \var{gTxgsxmxy} & $\left<\left(\nabla T\times\nabla s\right)_x\right>_{z}$ \\
  \var{gTxgsymxy} & $\left<\left(\nabla T\times\nabla s\right)_y\right>_{z}$ \\
  \var{gTxgszmxy} & $\left<\left(\nabla T\times\nabla s\right)_z\right>_{z}$ \\
  \var{gTxgsx2mxy} & $\left<\left(\nabla T\times\nabla s\right)_x^2\right>_{z}$ \\
  \var{gTxgsy2mxy} & $\left<\left(\nabla T\times\nabla s\right)_y^2\right>_{z}$ \\
  \var{gTxgsz2mxy} & $\left<\left(\nabla T\times\nabla s\right)_z^2\right>_{z}$ \\
  \var{fconvxy}   & $\left<c_p \varrho u_x T \right>_{z}$ \\
  \var{fconvyxy}  & $\left<c_p \varrho u_y T \right>_{z}$ \\
  \var{fconvzxy}  & $\left<c_p \varrho u_z T \right>_{z}$ \\
  \var{fradxy_Kprof} & $F^{\rm rad}_x$ ($x$-component of radiative flux, $z$-averaged, from Kprof) \\
  \var{fradymxy_Kprof} & $F^{\rm rad}_y$ ($y$-component of radiative flux, $z$-averaged, from Kprof) \\
  \var{fradxy_kramers} & $F_{\rm rad}$ ($z$-averaged,
                    from Kramers' opacity) \\
  \var{fturbxy}   & $\left<\varrho T \chi_t \nabla_x
                    s\right>_{z}$ \\
  \var{fturbymxy} & $\left<\varrho T \chi_t \nabla_y
                    s\right>_{z}$ \\
  \var{fturbrxy}  & $\left<\varrho T \chi_{ri} \nabla_i
                    s\right>_{z}$ \quad(radial part
                    of anisotropic turbulent heat flux) \\
  \var{fturbthxy} & $\left<\varrho T \chi_{\theta i}
                    \nabla_i s\right>_{z}$ \quad
                    (latitudinal part of anisotropic
                    turbulent heat flux) \\
  \var{dcoolxy}   & surface cooling flux \\
\midrule
  \multicolumn{2}{c}{Module \file{magnetic.f90}} \\
\midrule
  \var{bxmxy}     & $\left< B_x \right>_{z}$ \\
  \var{bymxy}     & $\left< B_y \right>_{z}$ \\
  \var{bzmxy}     & $\left< B_z \right>_{z}$ \\
  \var{jxmxy}     & $\left< J_x \right>_{z}$ \\
  \var{jymxy}     & $\left< J_y \right>_{z}$ \\
  \var{jzmxy}     & $\left< J_z \right>_{z}$ \\
  \var{axmxy}     & $\left< A_x \right>_{z}$ \\
  \var{aymxy}     & $\left< A_y \right>_{z}$ \\
  \var{azmxy}     & $\left< A_z \right>_{z}$ \\
  \var{bx2mxy}    & $\left< B_x^2 \right>_{z}$ \\
  \var{by2mxy}    & $\left< B_y^2 \right>_{z}$ \\
  \var{bz2mxy}    & $\left< B_z^2 \right>_{z}$ \\
  \var{bxbymxy}   & $\left< B_x B_y \right>_{z}$ \\
  \var{bxbzmxy}   & $\left< B_x B_z \right>_{z}$ \\
  \var{bybzmxy}   & $\left< B_y B_z \right>_{z}$ \\
  \var{poynxmxy}  & $\left< \Ev\times\Bv \right>_{x}$ \\
  \var{poynymxy}  & $\left< \Ev\times\Bv \right>_{y}$ \\
  \var{poynzmxy}  & $\left< \Ev\times\Bv \right>_{z}$ \\
  \var{jbmxy}     & $\left< \Jv\cdot\Bv \right>_{z}$ \\
  \var{abmxy}     & $\left< \Av\cdot\Bv \right>_{z}$ \\
  \var{examxy1}   & $\left< \Ev\times\Av \right>_{z}|_x$ \\
  \var{examxy2}   & $\left< \Ev\times\Av \right>_{z}|_y$ \\
  \var{examxy3}   & $\left< \Ev\times\Av \right>_{z}|_z$ \\
  \var{StokesImxy} & $\left< \epsilon_{B\perp} \right>_{z}|_z$ \\
  \var{StokesQmxy} & $-\left<\epsilon_{B\perp} \cos2\chi \right>_{z}|_z$ \\
  \var{StokesUmxy} & $-\left<\epsilon_{B\perp} \sin2\chi \right>_{z}|_z$ \\
  \var{StokesQ1mxy} & $+\left<F\epsilon_{B\perp} \sin2\chi \right>_{z}|_z$ \\
  \var{StokesU1mxy} & $-\left<F\epsilon_{B\perp} \cos2\chi \right>_{z}|_z$ \\
  \var{beta1mxy}  & $\left< \Bv^2/(2\mu_0 p) \right>_{z}|_z$ \\
\midrule
  \multicolumn{2}{c}{Module \file{density_stratified.f90}} \\
\midrule
  \var{drhomxy}   & $\langle\Delta\rho/\rho_0\rangle_z$ \\
  \var{drho2mxy}  & $\langle\left(\Delta\rho/\rho_0\right)^2\rangle_z$ \\
\midrule
  \multicolumn{2}{c}{Module \file{gravity_simple.f90}} \\
\midrule
  \var{epotmxy}   & $\left<\varrho \Phi_{\rm grav}
                    \right>_{z}$ \\
  \var{epotuxmxy} & $\left<\varrho \Phi_{\rm grav}
                    u_x \right>_{z}$
                    \quad(potential energy flux) \\
\midrule
  \multicolumn{2}{c}{Module \file{magnetic_shearboxJ.f90}} \\
\midrule
  \var{bxmxy}     & $\left< B_x \right>_{z}$ \\
  \var{bymxy}     & $\left< B_y \right>_{z}$ \\
  \var{bzmxy}     & $\left< B_z \right>_{z}$ \\
  \var{jxmxy}     & $\left< J_x \right>_{z}$ \\
  \var{jymxy}     & $\left< J_y \right>_{z}$ \\
  \var{jzmxy}     & $\left< J_z \right>_{z}$ \\
  \var{axmxy}     & $\left< A_x \right>_{z}$ \\
  \var{aymxy}     & $\left< A_y \right>_{z}$ \\
  \var{azmxy}     & $\left< A_z \right>_{z}$ \\
  \var{bx2mxy}    & $\left< B_x^2 \right>_{z}$ \\
  \var{by2mxy}    & $\left< B_y^2 \right>_{z}$ \\
  \var{bz2mxy}    & $\left< B_z^2 \right>_{z}$ \\
  \var{bxbymxy}   & $\left< B_x B_y \right>_{z}$ \\
  \var{bxbzmxy}   & $\left< B_x B_z \right>_{z}$ \\
  \var{bybzmxy}   & $\left< B_y B_z \right>_{z}$ \\
  \var{poynxmxy}  & $\left< \Ev\times\Bv \right>_{x}$ \\
  \var{poynymxy}  & $\left< \Ev\times\Bv \right>_{y}$ \\
  \var{poynzmxy}  & $\left< \Ev\times\Bv \right>_{z}$ \\
  \var{jbmxy}     & $\left< \Jv\cdot\Bv \right>_{z}$ \\
  \var{abmxy}     & $\left< \Av\cdot\Bv \right>_{z}$ \\
  \var{examxy1}   & $\left< \Ev\times\Av \right>_{z}|_x$ \\
  \var{examxy2}   & $\left< \Ev\times\Av \right>_{z}|_y$ \\
  \var{examxy3}   & $\left< \Ev\times\Av \right>_{z}|_z$ \\
  \var{StokesImxy} & $\left< \epsilon_{B\perp} \right>_{z}|_z$ \\
  \var{StokesQmxy} & $-\left<\epsilon_{B\perp} \cos2\chi \right>_{z}|_z$ \\
  \var{StokesUmxy} & $-\left<\epsilon_{B\perp} \sin2\chi \right>_{z}|_z$ \\
  \var{StokesQ1mxy} & $+\left<F\epsilon_{B\perp} \sin2\chi \right>_{z}|_z$ \\
  \var{StokesU1mxy} & $-\left<F\epsilon_{B\perp} \cos2\chi \right>_{z}|_z$ \\
  \var{beta1mxy}  & $\left< \Bv^2/(2\mu_0 p) \right>_{z}|_z$ \\
\midrule
  \multicolumn{2}{c}{Module \file{temperature_idealgas.f90}} \\
\midrule
  \var{TTmxy}     & $\left<T\right>_{z}$ \\
\midrule
  \multicolumn{2}{c}{Module \file{thermal_energy.f90}} \\
\midrule
  \var{TTmxy}     & $\left<T\right>_{z}$ \\
\midrule
  \multicolumn{2}{c}{Module \file{viscosity.f90}} \\
\midrule
  \var{fviscmxy}  & $\left<2\nu\varrho u_i
                    \mathcal{S}_{ix} \right>_{z}$
                    ($x$-xomponent of viscous flux) \\
  \var{fviscymxy} & $\left<2\nu\varrho u_i
                    \mathcal{S}_{iy} \right>_{z}$
                    ($y$-xomponent of viscous flux) \\
%
\bottomrule
\end{longtable}

