diff --git a/latex/NEMO/subfiles/apdx_DOMAINcfg.tex b/latex/NEMO/subfiles/apdx_DOMAINcfg.tex index 55cac81f617fad74c0f059f4c6b9ef233b055662..92b03c9373ba5c82f0e8586257d52e73aa84c967 100644 --- a/latex/NEMO/subfiles/apdx_DOMAINcfg.tex +++ b/latex/NEMO/subfiles/apdx_DOMAINcfg.tex @@ -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): \begin{gather} \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] \\ - e_3^0(k) = \lt| - h_0 - h_1 \; \tanh \big[ (k - h_{th}) / h_{cr} \big] \rt| + 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| \end{gather} 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. \begin{gather} \label{eq:DOMCFG_zgr_ana_1b} \begin{split} - z_0 (k) = h_{sur} - h_0 \; k &- \; h_1 \; \log \big[ \cosh ((k - h_{th}) / h_{cr}) \big] \\ - \; &- \; h2_1 \; \log \big[ \cosh ((k - h2_{th}) / h2_{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 \; h_{cr} \; \log \big[ \cosh ((k - h2_{th}) / h2_{cr}) \big] \end{split} \end{gather} \begin{gather}