New URL for NEMO forge!   http://forge.nemo-ocean.eu

Since March 2022 along with NEMO 4.2 release, the code development moved to a self-hosted GitLab.
This present forge is now archived and remained online for history.
Changeset 3989 for branches/2013/dev_r3853_CNRS9_ConfSetting/DOC/TexFiles/Chapters/Chap_Model_Basics_zstar.tex – NEMO

Ignore:
Timestamp:
2013-07-24T11:48:35+02:00 (11 years ago)
Author:
clevy
Message:

Configuration setting/Step3 and doc, see ticket:#1074

File:
1 edited

Legend:

Unmodified
Added
Removed
  • branches/2013/dev_r3853_CNRS9_ConfSetting/DOC/TexFiles/Chapters/Chap_Model_Basics_zstar.tex

    r3294 r3989  
    11% ================================================================ 
    2 % Chapter 1 Ñ Model Basics 
     2% Chapter 1 Model Basics 
    33% ================================================================ 
    44% ================================================================ 
     
    5353Because $z^\star$ has a time independent range, all grid cells have static increments  
    5454ds, and the sum of the ver tical increments yields the time independent ocean  
    55 depth %·k ds = H.  
     55depth %k ds = H.  
    5656The $z^\star$ coordinate is therefore invisible to undulations of the  
    5757free surface, since it moves along with the free surface. This proper ty means that  
     
    7878\namdisplay{nam_dynspg}  
    7979%------------------------------------------------------------------------------------------------------------ 
     80Options are defined through the  \ngn{nam\_dynspg} namelist variables. 
    8081The surface pressure gradient term is related to the representation of the free surface (\S\ref{PE_hor_pg}). The main distinction is between the fixed volume case (linear free surface or rigid lid) and the variable volume case (nonlinear free surface, \key{vvl} is active). In the linear free surface case (\S\ref{PE_free_surface}) and rigid lid (\S\ref{PE_rigid_lid}), the vertical scale factors $e_{3}$ are fixed in time, while in the nonlinear case (\S\ref{PE_free_surface}) they are time-dependent. With both linear and nonlinear free surface, external gravity waves are allowed in the equations, which imposes a very small time step when an explicit time stepping is used. Two methods are proposed to allow a longer time step for the three-dimensional equations: the filtered free surface, which is a modification of the continuous equations (see \eqref{Eq_PE_flt}), and the split-explicit free surface described below. The extra term introduced in the filtered method is calculated implicitly, so that the update of the next velocities is done in module \mdl{dynspg\_flt} and not in \mdl{dynnxt}. 
    8182 
     
    114115\namdisplay{namdom}  
    115116%-------------------------------------------------------------------------------------------------------------- 
    116 The split-explicit free surface formulation used in OPA follows the one proposed by \citet{Griffies2004}. The general idea is to solve the free surface equation with a small time step, while the three dimensional prognostic variables are solved with a longer time step that is a multiple of \np{rdtbt} (Figure III.3).  
     117The split-explicit free surface formulation used in OPA follows the one proposed by \citet{Griffies2004}. The general idea is to solve the free surface equation with a small time step, while the three dimensional prognostic variables are solved with a longer time step that is a multiple of \np{rdtbt} 
     118in the  \ngn{namdom} namelist.  
     119(Figure III.3).  
    117120 
    118121%>   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   > 
Note: See TracChangeset for help on using the changeset viewer.