Changeset 2953

Timestamp:

2011-10-18T14:38:39+02:00 (13 years ago)

Author:

cbricaud

Message:

Add Documentation tidal potential forcing

Location:

branches/2011/dev_r2787_MERCATOR3_tidalpot/DOC/TexFiles

Files:

• Chapters/Chap_SBC.tex (modified) (1 diff)
• Namelist/nam_tide (added)

branches/2011/dev_r2787_MERCATOR3_tidalpot/DOC/TexFiles/Chapters/Chap_SBC.tex

@@ -645 +645 @@
 
 % ================================================================
+%        Tidal Potential
+% ================================================================
+\section   [Tidal Potential (\textit{sbctide})]
+                        {Tidal Potential (\mdl{sbctide})}
+\label{SBC_tide}
+
+A module is available to use the tidal potential forcing and is activated with with \key{tide}.
+
+
+%------------------------------------------nam_tide----------------------------------------------------
+\namdisplay{nam_tide}
+%-------------------------------------------------------------------------------------------------------------
+
+Concerning the tidal potential, some parameters are available in namelist:
+
+- \texttt{ln\_tide\_pot} activate the tidal potential forcing
+
+- \texttt{nb\_harmo} is the number of constituent used
+
+- \texttt{clname} is the name of constituent
+
+
+The tide is generated by the forces of gravity ot the Earth-Moon and Earth-Sun sytem;
+they are expressed as the gradient of the astronomical potential ($\vec{\nabla}\Pi_{a}$). \\
+
+The potential astronomical expressed, for the three types of tidal frequencies
+following, by : \\
+Tide long period :
+\begin{equation}
+\Pi_{a}=gA_{k}(\frac{1}{2}-\frac{3}{2}sin^{2}\phi)cos(\omega_{k}t+V_{0k})
+\end{equation}
+diurnal Tide :
+\begin{equation}
+\Pi_{a}=gA_{k}(sin 2\phi)cos(\omega_{k}t+\lambda+V_{0k})
+\end{equation}
+Semi-diurnal tide:
+\begin{equation}
+\Pi_{a}=gA_{k}(cos^{2}\phi)cos(\omega_{k}t+2\lambda+V_{0k})
+\end{equation}
+
+
+$A_{k}$ is the amplitude of the wave k, $\omega_{k}$ the pulsation of the wave k, $V_{0k}$ the astronomical phase of the wave
+$k$ to Greenwich.
+
+We make corrections to the astronomical potential.
+We obtain : 
+\begin{equation}
+\Pi-g\delta = (1+k-h) \Pi_{A}(\lambda,\phi)
+\end{equation}
+with $k$ a number of Love estimated to 0.6 which parametrized the astronomical tidal land,
+and $h$ a number of Love to 0.3 which parametrized the parametrization due to the astronomical tidal land.
+
+% ================================================================
 %        River runoffs
 % ================================================================