Changeset 10442 for NEMO/trunk/doc/latex/NEMO/subfiles/chap_time_domain.tex
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NEMO/trunk/doc/latex/NEMO/subfiles/chap_time_domain.tex
r10414 r10442 22 22 Having defined the continuous equations in \autoref{chap:PE}, we need now to choose a time discretization, 23 23 a key feature of an ocean model as it exerts a strong influence on the structure of the computer code 24 ( $i.e.$on its flowchart).24 (\ie on its flowchart). 25 25 In the present chapter, we provide a general description of the \NEMO time stepping strategy and 26 26 the consequences for the order in which the equations are solved. … … 67 67 \citep{Mesinger_Arakawa_Bk76}. 68 68 This scheme is widely used for advection processes in low-viscosity fluids. 69 It is a time centred scheme, $i.e.$the RHS in \autoref{eq:STP} is evaluated at time step $t$, the now time step.69 It is a time centred scheme, \ie the RHS in \autoref{eq:STP} is evaluated at time step $t$, the now time step. 70 70 It may be used for momentum and tracer advection, pressure gradient, and Coriolis terms, 71 71 but not for diffusion terms. … … 229 229 230 230 In a classical LF-RA environment, the forcing term is centred in time, 231 $i.e.$it is time-stepped over a $2\rdt$ period:231 \ie it is time-stepped over a $2\rdt$ period: 232 232 $x^t = x^t + 2\rdt Q^t $ where $Q$ is the forcing applied to $x$, 233 233 and the time filter is given by \autoref{eq:STP_asselin} so that $Q$ is redistributed over several time step. … … 296 296 x^1 = x^0 + \rdt \ \text{RHS}^0 297 297 \] 298 This is done simply by keeping the leapfrog environment ( $i.e.$the \autoref{eq:STP} three level time stepping) but298 This is done simply by keeping the leapfrog environment (\ie the \autoref{eq:STP} three level time stepping) but 299 299 setting all $x^0$ (\textit{before}) and $x^{1}$ (\textit{now}) fields equal at the first time step and 300 300 using half the value of $\rdt$. … … 408 408 \biblio 409 409 410 \pindex 411 410 412 \end{document}
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