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Commit 529153e1 authored by Sibylle Techene's avatar Sibylle Techene
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Update file apdx_DOMAINcfg.tex

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1 merge request!49Resolve "annex F bug fix"
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...@@ -194,8 +194,8 @@ near the ocean surface. The following function is proposed as a standard for a ...@@ -194,8 +194,8 @@ near the ocean surface. The following function is proposed as a standard for a
$z$-coordinate (with either full or partial steps): $z$-coordinate (with either full or partial steps):
\begin{gather} \begin{gather}
\label{eq:DOMCFG_zgr_ana_1} \label{eq:DOMCFG_zgr_ana_1}
z_0 (k) = h_{sur} - h_0 \; k - \; h_1 \; \log \big[ \cosh ((k - h_{th}) / h_{cr}) \big] \\ z_0 (k) = h_{sur} - h_0 \; k - \; h_1 \; h_{cr} \; \log \big[ \cosh ((k - h_{th}) / h_{cr}) \big] \\
e_3^0(k) = \lt| - h_0 - h_1 \; \tanh \big[ (k - h_{th}) / h_{cr} \big] \rt| e_3^0(k) = \lt| - h_0 - h_1 \; \tanh \big[ (k - h_{th}) / h_{cr} \big] \rt|
\end{gather} \end{gather}
where $k = 1$ to \texttt{jpk} for $w$-levels and $k = 1$ to \texttt{jpk-1} for $t-$levels. where $k = 1$ to \texttt{jpk} for $w$-levels and $k = 1$ to \texttt{jpk-1} for $t-$levels.
...@@ -210,8 +210,8 @@ without compromising on resolution at depth using a moderate number of levels. ...@@ -210,8 +210,8 @@ without compromising on resolution at depth using a moderate number of levels.
\begin{gather} \begin{gather}
\label{eq:DOMCFG_zgr_ana_1b} \label{eq:DOMCFG_zgr_ana_1b}
\begin{split} \begin{split}
z_0 (k) = h_{sur} - h_0 \; k &- \; h_1 \; \log \big[ \cosh ((k - h_{th}) / h_{cr}) \big] \\ z_0 (k) = h_{sur} - h_0 \; k &- \; h_1 \; h_{cr} \; \log \big[ \cosh ((k - h_{th}) / h_{cr}) \big] \\
\; &- \; h2_1 \; \log \big[ \cosh ((k - h2_{th}) / h2_{cr}) \big] \; &- \; h2_1 \; h_{cr} \; \log \big[ \cosh ((k - h2_{th}) / h2_{cr}) \big]
\end{split} \end{split}
\end{gather} \end{gather}
\begin{gather} \begin{gather}
......
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