Changeset 10414 for NEMO/trunk/doc/latex/NEMO/subfiles/chap_DIU.tex

Timestamp:

2018-12-19T00:02:00+01:00 (5 years ago)

Author:

nicolasmartin

Message:

• Comment \label commands on maths environments for unreferenced equations and adapt the unnumbered math container accordingly (mainly switch to shortanded LateX syntax with \[ ... \])
• Add a code trick to build subfile with its own bibliography
• Fix right path for main LaTeX document in first line of subfiles (\documentclass[...]{subfiles})
• Rename abstract_foreword.tex to foreword.tex
• Fix some non-ASCII codes inserted here or there in LaTeX (\[0-9]*)
• Made a first iteration on the indentation and alignement within math, figure and table environments to improve source code readability

File:

• NEMO/trunk/doc/latex/NEMO/subfiles/chap_DIU.tex (modified) (6 diffs)

NEMO/trunk/doc/latex/NEMO/subfiles/chap_DIU.tex

@@ -1 @@
-\documentclass[../tex_main/NEMO_manual]{subfiles}
+\documentclass[../main/NEMO_manual]{subfiles}
+
 \begin{document}
 % ================================================================
@@ -28 +29 @@
 \end{itemize}
 
-Models are provided for both the warm layer, \mdfl{diurnal_bulk}, and the cool skin, \mdl{cool_skin}.
+Models are provided for both the warm layer, \mdl{diurnal\_bulk}, and the cool skin, \mdl{cool\_skin}.
 Foundation SST is not considered as it can be obtained either from the main NEMO model
 ($i.e.$ from the temperature of the top few model levels) or from some other source.  
@@ -72 +73 @@
 $\rho_w$ is the water density, and $L$ is the Monin-Obukhov length.
 The tunable variable $\nu$ is a shape parameter that defines the expected subskin temperature profile via
-$T(z)=T(0)-\left(\frac{z}{D_T}\right)^\nu\DeltaT_{\rm{wl}}$,
+$T(z) = T(0) - \left( \frac{z}{D_T} \right)^\nu \Delta T_{\rm{wl}}$,
 where $T$ is the absolute temperature and $z\le D_T$ is the depth below the top of the warm layer.
 The influence of wind on TAKAYA10 comes through the magnitude of the friction velocity of the water $u^*_{w}$,
@@ -80 +81 @@
 The symbol $Q$ in equation (\autoref{eq:ecmwf1}) is the instantaneous total thermal energy flux into
 the diurnal layer, $i.e.$
-\begin{equation}
-Q = Q_{\rm{sol}} + Q_{\rm{lw}} + Q_{\rm{h}}\mbox{,} \label{eq:e_flux_eqn}
-\end{equation}
+\[
+  Q = Q_{\rm{sol}} + Q_{\rm{lw}} + Q_{\rm{h}}\mbox{,}
+  % \label{eq:e_flux_eqn}
+\]
 where $Q_{\rm{h}}$ is the sensible and latent heat flux, $Q_{\rm{lw}}$ is the long wave flux,
 and $Q_{\rm{sol}}$ is the solar flux absorbed within the diurnal warm layer.
@@ -118 +120 @@
 The cool skin is modelled using the framework of \citet{Saunders_JAS82} who used a formulation of the near surface temperature difference based upon the heat flux and the friction velocity $u^*_{w}$.
 As the cool skin is so thin (~1\,mm) we ignore the solar flux component to the heat flux and the Saunders equation for the cool skin temperature difference $\Delta T_{\rm{cs}}$ becomes
-\begin{equation}
-\label{eq:sunders_eqn}
-\Delta T_{\rm{cs}}=\frac{Q_{\rm{ns}}\delta}{k_t} \mbox{,}
-\end{equation}
+\[
+  % \label{eq:sunders_eqn}
+  \Delta T_{\rm{cs}}=\frac{Q_{\rm{ns}}\delta}{k_t} \mbox{,}
+\]
 where $Q_{\rm{ns}}$ is the, usually negative, non-solar heat flux into the ocean and
 $k_t$ is the thermal conductivity of sea water.
@@ -136 +138 @@
 both low and high wind speeds.
 Specifically,
-\begin{equation}
-\label{eq:artale_lambda_eqn}
-\lambda = \frac{ 8.64\times10^4 u^*_{w} k_t }{ \rho c_p h \mu \gamma }\mbox{,}
-\end{equation}
+\[
+  % \label{eq:artale_lambda_eqn}
+  \lambda = \frac{ 8.64\times10^4 u^*_{w} k_t }{ \rho c_p h \mu \gamma }\mbox{,}
+\]
 where $h=10$\,m is a reference depth and
 $\gamma$ is a dimensionless function of wind speed $u$:
-\begin{equation}
-\label{eq:artale_gamma_eqn}
-\gamma = \left\{ \begin{matrix}
-                     0.2u+0.5\mbox{,} & u \le 7.5\,\mbox{ms}^{-1} \\
-                     1.6u-10\mbox{,} & 7.5 < u < 10\,\mbox{ms}^{-1} \\
-                     6\mbox{,} & \ge 10\,\mbox{ms}^{-1} \\
-                 \end{matrix}
-          \right.
-\end{equation}
+\[
+  % \label{eq:artale_gamma_eqn}
+  \gamma =
+  \begin{cases}
+    0.2u+0.5\mbox{,} & u \le 7.5\,\mbox{ms}^{-1} \\
+    1.6u-10\mbox{,} & 7.5 < u < 10\,\mbox{ms}^{-1} \\
+    6\mbox{,} & u \ge 10\,\mbox{ms}^{-1} \\
+  \end{cases}
+\]
+
+\biblio
 
 \end{document}