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Commit 02758809 authored by Sibylle Techene's avatar Sibylle Techene
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Update file chap_DYN.tex

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......@@ -675,7 +675,7 @@ cells’ centre. This scheme works well for moderately steep computational level
when model levels are steeply inclined.
\item
\textbf{Density Jacobian with cubic polynomial scheme} (\np[=.true.]{ln_hpg_djc}{ln\_hpg\_djc}, \cite{shchepetkin.mcwilliams_jgro03}:
\textbf{Density Jacobian with cubic polynomial scheme} (\np[=.true.]{ln_hpg_djc}{ln\_hpg\_djc}, \cite{shchepetkin.mcwilliams_jgro03}):
the ROMS-like, density Jacobian with cubic polynomial method has been debugged and from vn4.2 is available as an option.
This scheme is based on section 5 of \cite{shchepetkin.mcwilliams_jgro03} For the force in the $i$-direction, it uses constrained cubic
......@@ -846,7 +846,7 @@ no slip or partial slip boundary conditions are applied according to the user's
\subsection[Iso-level laplacian (\forcode{ln_dynldf_lap})]{Iso-level laplacian operator (\protect\np{ln_dynldf_lap}{ln\_dynldf\_lap})}
\label{subsec:DYN_ldf_lap}
For lateral iso-level diffusion, the discrete operator is:
For lateral iso-level diffusion (\np[=0]{nn_dynldf_typ}{nn\_dynldf\_typ}), the discrete operator is:
\begin{equation}
\label{eq:DYN_ldf_lap}
\left\{
......@@ -864,7 +864,7 @@ For lateral iso-level diffusion, the discrete operator is:
As explained in \autoref{sec:DIFFOPERS_3}, this formulation (as the gradient of a divergence and curl of the vorticity) preserves
symmetry and ensures a complete separation between the vorticity and divergence parts of the momentum diffusion.
In v5.0 a symetrical lateral iso-level operator has been introduced :
In v5.0 a symetrical lateral iso-level operator (\np[=1]{nn_dynldf_typ}{nn\_dynldf\_typ}) has been introduced :
\begin{equation}
\label{eq:DYN_ldf_lap_sym}
\left\{
......
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