Changeset 2285 for branches/nemo_v3_3_beta/DOC/TexFiles/Chapters/Chap_TRA.tex

Timestamp:

2010-10-17T17:08:15+02:00 (14 years ago)

Author:

gm

Message:

ticket:#658 suppression of key_zco + add math_abbrev.sty file + some minor correction

File:

• branches/nemo_v3_3_beta/DOC/TexFiles/Chapters/Chap_TRA.tex (modified) (4 diffs)

branches/nemo_v3_3_beta/DOC/TexFiles/Chapters/Chap_TRA.tex

@@ -48 +48 @@
 In the present chapter we also describe the diagnostic equations used to compute 
 the sea-water properties (density, Brunt-Vais\"{a}l\"{a} frequency, specific heat and 
-freezing point with associated modules \mdl{eosbn2}, \mdl{ocfzpt} and \mdl{phycst}).
+freezing point with associated modules \mdl{eosbn2} and \mdl{phycst}).
 
 The different options available to the user are managed by namelist logicals or 
@@ -79 +79 @@
 \end{equation}
 where $\tau$ is either T or S, and $b_t= e_{1t}\,e_{2t}\,e_{3t}$ is the volume of $T$-cells. 
-In pure $z$-coordinate (\key{zco} is defined), it reduces to :
-\begin{equation} \label{Eq_tra_adv_zco}
-ADV_\tau = - \frac{1}{e_{1t}\,e_{2t}} \left( \; \delta_i \left[ e_{2u} \;u \;\tau_u \right] 
-                                                                 + \delta_j \left[ e_{1v} \;v \;\tau_v  \right] \; \right)
-                   -  \frac{1}{e_{3t}}                      \delta_k \left[             w \;\tau_w \right]
-\end{equation}
-since the vertical scale factors are functions of $k$ only, and thus 
-$e_{3u} =e_{3v} =e_{3t} $. The flux form in \eqref{Eq_tra_adv} 
+The flux form in \eqref{Eq_tra_adv} 
 implicitly requires the use of the continuity equation. Indeed, it is obtained
 by using the following equality : $\nabla \cdot \left( \vect{U}\,T \right)=\vect{U} \cdot \nabla T$ 
 which results from the use of the continuity equation, $\nabla \cdot \vect{U}=0$ or 
-$\partial _t e_3 + e_3\;\nabla \cdot \vect{U}=0$ in constant volume (default option) 
-or variable volume (\key{vvl} defined) case, respectively. 
+$ \partial _t e_3 + e_3\;\nabla \cdot \vect{U}=0$ in constant or variable volume case, respectively. 
 Therefore it is of paramount importance to design the discrete analogue of the 
 advection tendency so that it is consistent with the continuity equation in order to 
@@ -481 +473 @@
 It is therefore not recommended.
 
-Note that 
-(a) In the pure $z$-coordinate (\key{zco} is defined), $e_{3u}$=$e_{3v}$=$e_{3t}$, 
-so that the vertical scale factors disappear from (\ref{Eq_tra_ldf_lap}) ; 
-(b) In the partial step $z$-coordinate (\np{ln\_zps}=true), tracers in horizontally 
+Note that in the partial step $z$-coordinate (\np{ln\_zps}=true), tracers in horizontally 
 adjacent cells are located at different depths in the vicinity of the bottom. 
 In this case, horizontal derivatives in (\ref{Eq_tra_ldf_lap}) at the bottom level 
@@ -1096 +1085 @@
 structure in equilibrium with its physics. 
 The choice of the shape of the Newtonian damping is controlled by two 
-namelist parameters \np{??} and \np{nn\_zdmp}. The former allows us to specify: the 
+namelist parameters \np{nn\_hdmp} and \np{nn\_zdmp}. The former allows us to specify: the 
 width of the equatorial band in which no damping is applied; a decrease 
 in the vicinity of the coast; and a damping everywhere in the Red and Med Seas.