Start the description of enT

latex/NEMO/subfiles/chap_DYN.tex

@@ -208,6 +208,25 @@ In the case of ENS, ENE or MIX schemes the land sea mask may be slightly modifie
 vorticity term with analytical equations (\np[=.true.]{ln_dynvor_con}{ln\_dynvor\_con}).
 The vorticity terms are all computed in dedicated routines that can be found in the \mdl{dynvor} module.
 
+%                 energy conserving scheme at T-point
+%% =================================================================================================
+\subsubsection[Energy conserving scheme  (\forcode{ln_dynvor_enT})]{Energy conserving scheme (\protect\np{ln_dynvor_enT}{ln\_dynvor\_enT})}
+\label{subsec:DYN_vor_enT}
+
+The kinetic energy conserving scheme (ENT scheme) conserves the global kinetic energy but not the global enstrophy.
+It is given by:
+\begin{equation}
+  \label{eq:DYN_vor_enT}
+  \left\{
+    \begin{aligned}
+      {+\frac{1}{e_{1u}\,e_{2u}\,e_{3u}}\; {\overline {\overline{\overline{\left( \zeta +f \right)}^{\,i+1/2}}^{\,j+1/2}
+            {e_{1t}\,e_{2t}\,e_{3t} \;  \overline {\;v} ^{\,j+1/2}} }^{\,i} }    \\
+      {- \frac{1}{e_{1t}\,e_{2t}\,e_{2t}}\; {\overline {\left( {\frac{\zeta +f}{e_{3f} }} \right)
+            \;  \overline {\left( {e_{2u}\,e_{3u}\;u} \right)} ^{\,j+1/2}} }^{\,i} }
+    \end{aligned}
+  \right.
+\end{equation}
+
 %                 enstrophy conserving scheme
 %% =================================================================================================
 \subsubsection[Enstrophy conserving scheme (\forcode{ln_dynvor_ens})]{Enstrophy conserving scheme (\protect\np{ln_dynvor_ens}{ln\_dynvor\_ens})}