
\def\V{{\bf v}}
\def\ave#1{\overline{#1}}
\def\mave#1{\tilde{#1}}
\def\q{c}


%\textcolor{\red}}
\begin{frame}

{\bf Under boundary layer approximations} ($\partial/\partial x << \partial/\partial z$) :
\begin{equation}\nonumber
{\color{blue}\dt{\q}+{\V}.\grad\ {\q}} \ =\ {\color{red} S_\q \ -\ \frac{1}{\rho}\frac{\partial}{\partial z} \ave{w'\q'}}
\end{equation}
\includegraphics[bb= -100 100 700 430,width=0.9\textwidth,clip]{/home/hourdin/PRESENTATIONS/PEDAGO/gcm2.pdf}

$\V$ and $\q$ are now the large scale variables.\\
$\q$ : $\theta$, $u$, $v$, water (vapor and others), chemical compounds ...

{\bf Parametrization of boundary layer first goal : represent $\ave{w'\q'}$}

\end{frame}
