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- 2013-07-24T11:48:35+02:00 (11 years ago)
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branches/2013/dev_r3853_CNRS9_ConfSetting/DOC/TexFiles/Chapters/Chap_DYN.tex
r3764 r3989 1 1 % ================================================================ 2 % Chapter ÑOcean Dynamics (DYN)2 % Chapter � Ocean Dynamics (DYN) 3 3 % ================================================================ 4 4 \chapter{Ocean Dynamics (DYN)} … … 167 167 The vector invariant form of the momentum equations is the one most 168 168 often used in applications of the \NEMO ocean model. The flux form option 169 (see next section) has been present since version $2$. 169 (see next section) has been present since version $2$. Options are defined 170 through the \ngn{namdyn\_adv} namelist variables 170 171 Coriolis and momentum advection terms are evaluated using a leapfrog 171 172 scheme, $i.e.$ the velocity appearing in these expressions is centred in … … 184 185 %------------------------------------------------------------------------------------------------------------- 185 186 187 Options are defined through the \ngn{namdyn\_vor} namelist variables. 186 188 Four discretisations of the vorticity term (\textit{ln\_dynvor\_xxx}=true) are available: 187 189 conserving potential enstrophy of horizontally non-divergent flow (ENS scheme) ; … … 382 384 %------------------------------------------------------------------------------------------------------------- 383 385 386 Options are defined through the \ngn{namdyn\_adv} namelist variables. 384 387 In the flux form (as in the vector invariant form), the Coriolis and momentum 385 388 advection terms are evaluated using a leapfrog scheme, $i.e.$ the velocity … … 526 529 %------------------------------------------------------------------------------------------------------------- 527 530 531 Options are defined through the \ngn{namdyn\_hpg} namelist variables. 528 532 The key distinction between the different algorithms used for the hydrostatic 529 533 pressure gradient is the vertical coordinate used, since HPG is a \emph{horizontal} … … 712 716 713 717 %%% 718 Options are defined through the \ngn{namdyn\_spg} namelist variables. 714 719 The 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) and the variable volume case (nonlinear free surface, \key{vvl} is defined). In the linear free surface case (\S\ref{PE_free_surface}) the vertical scale factors $e_{3}$ are fixed in time, while they are time-dependent in the nonlinear case (\S\ref{PE_free_surface}). 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}. 715 720 … … 931 936 %------------------------------------------------------------------------------------------------------------- 932 937 938 Options are defined through the \ngn{namdyn\_ldf} namelist variables. 933 939 The options available for lateral diffusion are to use either laplacian 934 940 (rotated or not) or biharmonic operators. The coefficients may be constant … … 1060 1066 %------------------------------------------------------------------------------------------------------------- 1061 1067 1068 Options are defined through the \ngn{namzdf} namelist variables. 1062 1069 The large vertical diffusion coefficient found in the surface mixed layer together 1063 1070 with high vertical resolution implies that in the case of explicit time stepping there … … 1130 1137 %------------------------------------------------------------------------------------------------------------- 1131 1138 1139 Options are defined through the \ngn{namdom} namelist variables. 1132 1140 The general framework for dynamics time stepping is a leap-frog scheme, 1133 1141 $i.e.$ a three level centred time scheme associated with an Asselin time filter
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