From 31532da7fbc40380759aa2add1d88a209c8e837d Mon Sep 17 00:00:00 2001
From: Sibylle Techene <sibylle.techene@locean-ipsl.upmc.fr>
Date: Mon, 28 Oct 2024 17:06:34 +0000
Subject: [PATCH] Test section 4 correction in chap_DYN.tex
---
latex/NEMO/subfiles/chap_DYN.tex | 8 ++++++--
1 file changed, 6 insertions(+), 2 deletions(-)
diff --git a/latex/NEMO/subfiles/chap_DYN.tex b/latex/NEMO/subfiles/chap_DYN.tex
index cc04666..b90ac9d 100644
--- a/latex/NEMO/subfiles/chap_DYN.tex
+++ b/latex/NEMO/subfiles/chap_DYN.tex
@@ -149,11 +149,11 @@ taking into account the change of the thickness of the levels:
\right.
\end{equation}
-In the case of a non-linear free surface (key{qco}), the top vertical velocity is $-\textit{emp}/\rho_w$,
+In the case of a non-linear free surface (\key{qco}), the top vertical velocity is $-\textit{emp}/\rho_w$,
as changes in the divergence of the barotropic transport are absorbed into the change of the level thicknesses,
re-orientated downward.
\cmtgm{not sure of this... to be modified with the change in emp setting}
-In the case of a linear free surface(key{linssh}), the time derivative in \autoref{eq:DYN_wzv} disappears.
+In the case of a linear free surface(\key{linssh}), the time derivative in \autoref{eq:DYN_wzv} disappears.
The upper boundary condition applies at a fixed level $z=0$.
The top vertical velocity is thus equal to the divergence of the barotropic transport
(\ie\ the first term in the right-hand-side of \autoref{eq:DYN_spg_ssh}).
@@ -572,6 +572,10 @@ since HPG is a \emph{horizontal} pressure gradient, \ie\ computed along geopoten
As a result, any tilt of the surface of the computational levels will require a specific treatment to
compute the hydrostatic pressure gradient.
+In v5.0 partial cells are considered as penalized cells. A penalized cell has a solid fraction and
+a liquid fraction, both are distributed homogeneouly across the cell. Therefore adjacent cells are not
+expected to live at distinct depth because of their content differences.
+
The hydrostatic pressure gradient term is evaluated either using a leapfrog scheme,
\ie\ the density appearing in its expression is centred in time (\emph{now} $\rho$),
or a RK3 scheme \ie\ the density appearing in its expression is forward in time (\emph{before} $\rho$),
--
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