Changeset 3683 for trunk/DOC/TexFiles/Chapters/Chap_DYN.tex
- Timestamp:
- 2012-11-27T16:21:24+01:00 (11 years ago)
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trunk/DOC/TexFiles/Chapters/Chap_DYN.tex
r3294 r3683 127 127 This is of paramount importance. Replacing $T$ by the number $1$ in the tracer equation and summing 128 128 over the water column must lead to the sea surface height equation otherwise tracer content 129 will not be conserved \ ref{Griffies_al_MWR01, LeclairMadec2009}.129 will not be conserved \citep{Griffies_al_MWR01, Leclair_Madec_OM09}. 130 130 131 131 The vertical velocity is computed by an upward integration of the horizontal … … 189 189 the relative vorticity term and horizontal kinetic energy for the planetary vorticity 190 190 term (MIX scheme) ; or conserving both the potential enstrophy of horizontally non-divergent 191 flow and horizontal kinetic energy (EEN scheme) (see Appendix~\ref{Apdx_C_vor _zad}). In the191 flow and horizontal kinetic energy (EEN scheme) (see Appendix~\ref{Apdx_C_vorEEN}). In the 192 192 case of ENS, ENE or MIX schemes the land sea mask may be slightly modified to ensure the 193 193 consistency of vorticity term with analytical equations (\textit{ln\_dynvor\_con}=true). … … 331 331 This EEN scheme in fact combines the conservation properties of the ENS and ENE schemes. 332 332 It conserves both total energy and potential enstrophy in the limit of horizontally 333 nondivergent flow ($i.e.$ $\chi$=$0$) (see Appendix~\ref{Apdx_C_vor _zad}).333 nondivergent flow ($i.e.$ $\chi$=$0$) (see Appendix~\ref{Apdx_C_vorEEN}). 334 334 Applied to a realistic ocean configuration, it has been shown that it leads to a significant 335 335 reduction of the noise in the vertical velocity field \citep{Le_Sommer_al_OM09}. … … 938 938 is the \textit{before} velocity in time, except for the pure vertical component 939 939 that appears when a tensor of rotation is used. This latter term is solved 940 implicitly together with the vertical diffusion term (see \S\ref{ DOM_nxt})940 implicitly together with the vertical diffusion term (see \S\ref{STP}) 941 941 942 942 At the lateral boundaries either free slip, no slip or partial slip boundary … … 1066 1066 scheme (\np{ln\_zdfexp}=true) using a time splitting technique 1067 1067 (\np{nn\_zdfexp} $>$ 1) or $(b)$ a backward (or implicit) time differencing scheme 1068 (\np{ln\_zdfexp}=false) (see \S\ref{ DOM_nxt}). Note that namelist variables1068 (\np{ln\_zdfexp}=false) (see \S\ref{STP}). Note that namelist variables 1069 1069 \np{ln\_zdfexp} and \np{nn\_zdfexp} apply to both tracers and dynamics. 1070 1070
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