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Changeset 10442 for NEMO/trunk/doc/latex/NEMO/subfiles/annex_A.tex – NEMO

Ignore:
Timestamp:
2018-12-21T15:18:38+01:00 (5 years ago)
Author:
nicolasmartin
Message:

Front page edition, cleaning in custom LaTeX commands and add index for single subfile compilation

  • Use \thanks storing cmd to refer to the ST members list for 2018 in an footnote on the cover page
  • NEMO and Fortran in small capitals
  • Removing of unused or underused custom cmds, move local cmds to their respective .tex file
  • Addition of new ones (\zstar, \ztilde, \sstar, \stilde, \ie, \eg, \fortran, \fninety)
  • Fonts for indexed items: italic font for files (modules and .nc files), preformat for code (CPP keys, routines names and namelists content)
File:
1 edited

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  • NEMO/trunk/doc/latex/NEMO/subfiles/annex_A.tex

    r10414 r10442  
    2020 
    2121In order to establish the set of Primitive Equation in curvilinear $s$-coordinates 
    22 ($i.e.$ an orthogonal curvilinear coordinate in the horizontal and 
     22(\ie an orthogonal curvilinear coordinate in the horizontal and 
    2323an Arbitrary Lagrangian Eulerian (ALE) coordinate in the vertical), 
    2424we start from the set of equations established in \autoref{subsec:PE_zco_Eq} for 
     
    273273\] 
    274274leads to the $s-$coordinate formulation of the total $z-$coordinate time derivative, 
    275 $i.e.$ the total $s-$coordinate time derivative : 
     275\ie the total $s-$coordinate time derivative : 
    276276\begin{align} 
    277277  \label{apdx:A_sco_Dt_vect} 
     
    312312% 
    313313Introducing the vertical scale factor inside the horizontal derivative of the first two terms  
    314 ($i.e.$ the horizontal divergence), it becomes : 
     314(\ie the horizontal divergence), it becomes : 
    315315\begin{align*} 
    316316  { 
     
    355355\end{align*} 
    356356which leads to the $s-$coordinate flux formulation of the total $s-$coordinate time derivative,  
    357 $i.e.$ the total $s-$coordinate time derivative in flux form: 
     357\ie the total $s-$coordinate time derivative in flux form: 
    358358\begin{flalign} 
    359359  \label{apdx:A_sco_Dt_flux} 
     
    513513in particular the pressure gradient. 
    514514By contrast, $\omega$ is not $w$, the third component of the velocity, but the dia-surface velocity component, 
    515 $i.e.$ the volume flux across the moving $s$-surfaces per unit horizontal area.  
     515\ie the volume flux across the moving $s$-surfaces per unit horizontal area.  
    516516 
    517517 
     
    540540\biblio 
    541541 
     542\pindex 
     543 
    542544\end{document} 
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