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Changeset 10442 for NEMO/trunk/doc/latex/NEMO/subfiles/chap_time_domain.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/chap_time_domain.tex

    r10414 r10442  
    2222Having defined the continuous equations in \autoref{chap:PE}, we need now to choose a time discretization, 
    2323a key feature of an ocean model as it exerts a strong influence on the structure of the computer code 
    24 ($i.e.$ on its flowchart). 
     24(\ie on its flowchart). 
    2525In the present chapter, we provide a general description of the \NEMO time stepping strategy and 
    2626the consequences for the order in which the equations are solved. 
     
    6767\citep{Mesinger_Arakawa_Bk76}. 
    6868This scheme is widely used for advection processes in low-viscosity fluids. 
    69 It is a time centred scheme, $i.e.$ the RHS in \autoref{eq:STP} is evaluated at time step $t$, the now time step. 
     69It is a time centred scheme, \ie the RHS in \autoref{eq:STP} is evaluated at time step $t$, the now time step. 
    7070It may be used for momentum and tracer advection, pressure gradient, and Coriolis terms, 
    7171but not for diffusion terms. 
     
    229229 
    230230In a classical LF-RA environment, the forcing term is centred in time, 
    231 $i.e.$ it is time-stepped over a $2\rdt$ period: 
     231\ie it is time-stepped over a $2\rdt$ period: 
    232232$x^t  = x^t + 2\rdt Q^t $ where $Q$ is the forcing applied to $x$, 
    233233and the time filter is given by \autoref{eq:STP_asselin} so that $Q$ is redistributed over several time step. 
     
    296296  x^1 = x^0 + \rdt \ \text{RHS}^0 
    297297\] 
    298 This is done simply by keeping the leapfrog environment ($i.e.$ the \autoref{eq:STP} three level time stepping) but 
     298This is done simply by keeping the leapfrog environment (\ie the \autoref{eq:STP} three level time stepping) but 
    299299setting all $x^0$ (\textit{before}) and $x^{1}$ (\textit{now}) fields equal at the first time step and 
    300300using half the value of $\rdt$. 
     
    408408\biblio 
    409409 
     410\pindex 
     411 
    410412\end{document} 
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