--- manual/s_overview/continuous_eqns.tex 2001/09/11 14:03:33 1.2 +++ manual/s_overview/continuous_eqns.tex 2001/09/26 14:53:10 1.3 @@ -1,4 +1,4 @@ -% $Header: /home/ubuntu/mnt/e9_copy/manual/s_overview/Attic/continuous_eqns.tex,v 1.2 2001/09/11 14:03:33 cnh Exp $ +% $Header: /home/ubuntu/mnt/e9_copy/manual/s_overview/Attic/continuous_eqns.tex,v 1.3 2001/09/26 14:53:10 cnh Exp $ % $Name: $ \section{Continuous equations in `r' coordinates} @@ -201,13 +201,13 @@ The boundary conditions at top and bottom are given by: -\begin{eqnarray*} +\begin{eqnarray} &&\omega =0~\text{at }r=R_{fixed} \label{eq:fixed-bc-atmos} \text{ (top of the atmosphere)} \\ \omega &=&\frac{Dp_{s}}{Dt}\text{; at }r=R_{moving}\text{ (bottom of the atmosphere)} \label{eq:moving-bc-atmos} -\end{eqnarray*} +\end{eqnarray} Then the (hydrostatic form of) eq(\ref{incompressible}) yields a consistent set of atmospheric equations which, for convenience, are written out in $p$ @@ -242,12 +242,12 @@ Boundary conditions are: -\begin{eqnarray*} +\begin{eqnarray} w &=&0~\text{at }r=R_{fixed}\text{ (ocean bottom)} \label{eq:fixed-bc-ocean}\\ w &=&\frac{D\eta }{Dt}\text{ at }r=R_{moving}=\eta \text{ (ocean surface) \label{eq:moving-bc-ocean}} -\end{eqnarray*} +\end{eqnarray} where $\eta $ is the elevation of the free surface. Then eq(\ref{incompressible}) yields a consistent set of oceanic equations