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- 2019-09-25T19:06:37+02:00 (5 years ago)
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NEMO/trunk/doc/latex/NEMO/subfiles/chap_conservation.tex
r11584 r11596 3 3 \begin{document} 4 4 5 % ================================================================6 % Invariant of the Equations7 % ================================================================8 5 \chapter{Invariants of the Primitive Equations} 9 6 \label{chap:CONS} … … 42 39 \citep{Marti1992?, Levy1996?, Levy1998?}. 43 40 44 % -------------------------------------------------------------------------------------------------------------45 % Conservation Properties on Ocean Dynamics46 % -------------------------------------------------------------------------------------------------------------47 41 \section{Conservation properties on ocean dynamics} 48 42 \label{sec:CONS_Invariant_dyn} … … 158 152 otherwise there is no guarantee that the surface pressure force work vanishes. 159 153 160 % -------------------------------------------------------------------------------------------------------------161 % Conservation Properties on Ocean Thermodynamics162 % -------------------------------------------------------------------------------------------------------------163 154 \section{Conservation properties on ocean thermodynamics} 164 155 \label{sec:CONS_Invariant_tra} … … 179 170 In practice, the mass is conserved with a very good accuracy. 180 171 181 % -------------------------------------------------------------------------------------------------------------182 % Conservation Properties on Momentum Physics183 % -------------------------------------------------------------------------------------------------------------184 172 \subsection{Conservation properties on momentum physics} 185 173 \label{subsec:CONS_Invariant_dyn_physics} … … 223 211 {A^{lm}\;\zeta \;{\mathrm {\mathbf k}}} \right)} \right]\;dv} \leqslant 0 224 212 \] 225 226 213 227 214 (II.4.6a) and (II.4.6b) means that the horizontal diffusion of momentum conserve both the potential vorticity and … … 286 273 \ie\ the vertical momentum physics conserve momentum, potential vorticity, and horizontal divergence. 287 274 288 % -------------------------------------------------------------------------------------------------------------289 % Conservation Properties on Tracer Physics290 % -------------------------------------------------------------------------------------------------------------291 275 \subsection{Conservation properties on tracer physics} 292 276 \label{subsec:CONS_Invariant_tra_physics}
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