/[MITgcm]/manual/s_algorithm/text/tracer.tex
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revision 1.9 by adcroft, Tue Nov 13 15:32:28 2001 UTC revision 1.10 by adcroft, Tue Nov 13 18:15:26 2001 UTC
# Line 43  only affects the surface layer since the Line 43  only affects the surface layer since the
43  everywhere else. This term is therefore referred to as the surface  everywhere else. This term is therefore referred to as the surface
44  correction term. Global conservation is not possible using the  correction term. Global conservation is not possible using the
45  flux-form (as here) and a linearized free-surface  flux-form (as here) and a linearized free-surface
46  (\cite{Griffies00,Campin02}).  (\cite{griffies:00,campin:02}).
47    
48  The continuity equation can be recovered by setting  The continuity equation can be recovered by setting
49  $G_{diff}=G_{forc}=0$ and $\tau=1$.  $G_{diff}=G_{forc}=0$ and $\tau=1$.
# Line 200  W & = & {\cal A}_c w Line 200  W & = & {\cal A}_c w
200    
201  For non-divergent flow, this discretization can be shown to conserve  For non-divergent flow, this discretization can be shown to conserve
202  the tracer both locally and globally and to globally conserve tracer  the tracer both locally and globally and to globally conserve tracer
203  variance, $\tau^2$. The proof is given in \cite{Adcroft95,Adcroft97}.  variance, $\tau^2$. The proof is given in \cite{adcroft:95,adcroft:97}.
204    
205  \fbox{ \begin{minipage}{4.75in}  \fbox{ \begin{minipage}{4.75in}
206  {\em S/R GAD\_C2\_ADV\_X} ({\em gad\_c2\_adv\_x.F})  {\em S/R GAD\_C2\_ADV\_X} ({\em gad\_c2\_adv\_x.F})
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