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Changeset 11537 for NEMO/trunk/doc/latex/NEMO/subfiles/chap_time_domain.tex – NEMO

Ignore:
Timestamp:
2019-09-12T10:24:48+02:00 (5 years ago)
Author:
clem
Message:

make sure SI3 doc can be compiled, plus small edits

File:
1 edited

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

    r11435 r11537  
    8686where the subscript $F$ denotes filtered values and $\gamma$ is the Asselin coefficient. 
    8787$\gamma$ is initialized as \np{rn\_atfp} (namelist parameter). 
    88 Its default value is \np{rn\_atfp}\forcode{ = 10.e-3} (see \autoref{sec:STP_mLF}), 
     88Its default value is \np{rn\_atfp}\forcode{=10.e-3} (see \autoref{sec:STP_mLF}), 
    8989causing only a weak dissipation of high frequency motions (\citep{farge-coulombier_phd87}). 
    9090The addition of a time filter degrades the accuracy of the calculation from second to first order. 
     
    172172 
    173173The leapfrog environment supports a centred in time computation of the surface pressure, \ie\ evaluated 
    174 at \textit{now} time step. This refers to as the explicit free surface case in the code (\np{ln\_dynspg\_exp}\forcode{ = .true.}). 
     174at \textit{now} time step. This refers to as the explicit free surface case in the code (\np{ln\_dynspg\_exp}\forcode{=.true.}). 
    175175This choice however imposes a strong constraint on the time step which should be small enough to resolve the propagation 
    176176of external gravity waves. As a matter of fact, one rather use in a realistic setup, a split-explicit free surface 
    177 (\np{ln\_dynspg\_ts}\forcode{ = .true.}) in which barotropic and baroclinic dynamical equations are solved separately with ad-hoc 
     177(\np{ln\_dynspg\_ts}\forcode{=.true.}) in which barotropic and baroclinic dynamical equations are solved separately with ad-hoc 
    178178time steps. The use of the time-splitting (in combination with non-linear free surface) imposes some constraints on the design of 
    179179the overall flowchart, in particular to ensure exact tracer conservation (see \autoref{fig:TimeStep_flowchart}). 
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