%% $Id$
%% 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
%%   bfield.f90
%%   density_stratified.f90
%%   gravity_simple.f90
%%   magnetic_shearboxJ.f90
%%   shock_highorder.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{uxmx}      & $\left< u_x \right>_{yz}$ \\
  \var{uymx}      & $\left< u_y \right>_{yz}$ \\
  \var{uzmx}      & $\left< u_z \right>_{yz}$ \\
  \var{ruxmx}     & $\left<\varrho u_x \right>_{yz}$ \\
  \var{ruymx}     & $\left<\varrho u_y \right>_{yz}$ \\
  \var{ruzmx}     & $\left<\varrho u_z \right>_{yz}$ \\
  \var{rux2mx}    & $\langle\rho u_x^2\rangle_{yz}$ \\
  \var{ruy2mx}    & $\langle\rho u_y^2\rangle_{yz}$ \\
  \var{ruz2mx}    & $\langle\rho u_z^2\rangle_{yz}$ \\
  \var{ruxuymx}   & $\langle\rho u_x u_y\rangle_{yz}$ \\
  \var{ruxuzmx}   & $\langle\rho u_x u_z\rangle_{yz}$ \\
  \var{ruyuzmx}   & $\langle\rho u_y u_z\rangle_{yz}$ \\
  \var{ux2mx}     & $\left<u_x^2\right>_{yz}$ \\
  \var{uy2mx}     & $\left<u_y^2\right>_{yz}$ \\
  \var{uz2mx}     & $\left<u_z^2\right>_{yz}$ \\
  \var{ox2mx}     & $\left<\omega_x^2\right>_{yz}$ \\
  \var{oy2mx}     & $\left<\omega_y^2\right>_{yz}$ \\
  \var{oz2mx}     & $\left<\omega_z^2\right>_{yz}$ \\
  \var{uxuymx}    & $\langle u_x u_y\rangle_{yz}$ \\
  \var{uxuzmx}    & $\langle u_x u_z\rangle_{yz}$ \\
  \var{uyuzmx}    & $\langle u_y u_z\rangle_{yz}$ \\
  \var{oumx}      & $\left<\boldsymbol{\omega}
                    \cdot\uv\right>_{yz}$ \\
  \var{ekinmx}    & $\langle{1\over2}\rho u^2\rangle_{xy}$ \\
\midrule
  \multicolumn{2}{c}{Module \file{density.f90}} \\
\midrule
  \var{rhomx}     & $\left<\varrho\right>_{yz}$ \\
\midrule
  \multicolumn{2}{c}{Module \file{entropy.f90}} \\
\midrule
  \var{ssmx}      & $\left< s \right>_{yz}$ \\
  \var{ss2mx}     & $\left< s^2 \right>_{yz}$ \\
  \var{ppmx}      & $\left< p \right>_{yz}$ \\
  \var{TTmx}      & $\left< T \right>_{yz}$ \\
  \var{TT2mx}     & $\left< T^2 \right>_{yz}$ \\
  \var{uxTTmx}    & $\left< u_x T \right>_{yz}$ \\
  \var{uyTTmx}    & $\left< u_y T \right>_{yz}$ \\
  \var{uzTTmx}    & $\left< u_z T \right>_{yz}$ \\
  \var{fconvxmx}  & $\left< c_p \varrho u_x T \right>_{yz}$ \\
  \var{fradmx}    & $\left<F_{\rm rad}\right>_{yz}$ \\
  \var{fturbmx}   & $\left<\varrho T \chi_t \nabla_x
                    s\right>_{yz}$ \quad(turbulent
                    heat flux) \\
  \var{Kkramersmx} & $\left< K_0 T^(3-b)/rho^(a+1) \right>_{yz}$ \\
  \var{dcoolx}    & surface cooling flux \\
  \var{fradx_kramers} & $F_{\rm rad}$ (from Kramers'
                    opacity) \\
\midrule
  \multicolumn{2}{c}{Module \file{magnetic.f90}} \\
\midrule
  \var{b2mx}      & $\langle B^2\rangle_{yz}$ \\
  \var{bxmx}      & $\left< B_x \right>_{yz}$ \\
  \var{bymx}      & $\left< B_y \right>_{yz}$ \\
  \var{bzmx}      & $\left< B_z \right>_{yz}$ \\
  \var{bx2mx}     & $\left< B_x^2 \right>_{yz}$ \\
  \var{by2mx}     & $\left< B_y^2 \right>_{yz}$ \\
  \var{bz2mx}     & $\left< B_z^2 \right>_{yz}$ \\
  \var{bxbymx}    & $\left<B_x B_y\right>_{yz}$ \\
  \var{bxbzmx}    & $\langle B_x B_z\rangle_{yz}$ \\
  \var{bybzmx}    & $\langle B_y B_z\rangle_{yz}$ \\
  \var{betamx}    & $\langle\beta\rangle_{yz}$ \\
  \var{beta2mx}   & $\langle\beta^2\rangle_{yz}$ \\
  \var{etatotalmx} & $\left<\eta\right>_{yz}$ \\
\midrule
  \multicolumn{2}{c}{Module \file{bfield.f90}} \\
\midrule
  \var{bmx}       & $\langle B\rangle_{yz}$ \\
  \var{b2mx}      & $\langle B^2\rangle_{yz}$ \\
  \var{bxmx}      & $\langle B_x\rangle_{yz}$ \\
  \var{bymx}      & $\langle B_y\rangle_{yz}$ \\
  \var{bzmx}      & $\langle B_z\rangle_{yz}$ \\
  \var{bx2mx}     & $\langle B_x^2\rangle_{yz}$ \\
  \var{by2mx}     & $\langle B_y^2\rangle_{yz}$ \\
  \var{bz2mx}     & $\langle B_z^2\rangle_{yz}$ \\
  \var{bxbymx}    & $\langle B_x B_y\rangle_{yz}$ \\
  \var{bxbzmx}    & $\langle B_x B_z\rangle_{yz}$ \\
  \var{bybzmx}    & $\langle B_y B_z\rangle_{yz}$ \\
  \var{betamx}    & $\langle\beta\rangle_{yz}$ \\
  \var{beta2mx}   & $\langle\beta^2\rangle_{yz}$ \\
\midrule
  \multicolumn{2}{c}{Module \file{density_stratified.f90}} \\
\midrule
  \var{drhomx}    & $\langle\Delta\rho/\rho_0\rangle_{yz}$ \\
  \var{drho2mx}   & $\langle\left(\Delta\rho/\rho_0\right)^2\rangle_{yz}$ \\
\midrule
  \multicolumn{2}{c}{Module \file{gravity_simple.f90}} \\
\midrule
  \var{epotmx}    & $\left<\varrho \Phi_{\rm grav}
                    \right>_{yz}$ \\
  \var{epotuxmx}  & $\left<\varrho \Phi_{\rm grav}
                    u_x \right>_{yz}$
                    \quad(potential energy flux) \\
\midrule
  \multicolumn{2}{c}{Module \file{magnetic_shearboxJ.f90}} \\
\midrule
  \var{b2mx}      & $\langle B^2\rangle_{yz}$ \\
  \var{bxmx}      & $\left< B_x \right>_{yz}$ \\
  \var{bymx}      & $\left< B_y \right>_{yz}$ \\
  \var{bzmx}      & $\left< B_z \right>_{yz}$ \\
  \var{bx2mx}     & $\left< B_x^2 \right>_{yz}$ \\
  \var{by2mx}     & $\left< B_y^2 \right>_{yz}$ \\
  \var{bz2mx}     & $\left< B_z^2 \right>_{yz}$ \\
  \var{bxbymx}    & $\left<B_x B_y\right>_{yz}$ \\
  \var{bxbzmx}    & $\langle B_x B_z\rangle_{yz}$ \\
  \var{bybzmx}    & $\langle B_y B_z\rangle_{yz}$ \\
  \var{betamx}    & $\langle\beta\rangle_{yz}$ \\
  \var{beta2mx}   & $\langle\beta^2\rangle_{yz}$ \\
  \var{etatotalmx} & $\left<\eta\right>_{yz}$ \\
\midrule
  \multicolumn{2}{c}{Module \file{shock_highorder.f90}} \\
\midrule
\midrule
  \multicolumn{2}{c}{Module \file{temperature_idealgas.f90}} \\
\midrule
  \var{ppmx}      & $\left<p\right>_{yz}$ \\
  \var{TTmx}      & $\left<T\right>_{yz}$ \\
\midrule
  \multicolumn{2}{c}{Module \file{thermal_energy.f90}} \\
\midrule
  \var{ppmx}      & $\left<p\right>_{yz}$ \\
  \var{TTmx}      & $\left<T\right>_{yz}$ \\
\midrule
  \multicolumn{2}{c}{Module \file{viscosity.f90}} \\
\midrule
  \var{fviscmx}   & $\left<2\nu\varrho u_i
                    \mathcal{S}_{ix} \right>_{yz}$
                    ($x$-component of viscous flux) \\
  \var{numx}      & $\left< \nu \right>_{yz}$
                    ($yz$-averaged viscosity) \\
%
\bottomrule
\end{longtable}

