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Commit 2d869741 authored by Andrew Coward's avatar Andrew Coward
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Few more corrections to chap_D2D.tex file

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......@@ -106,7 +106,7 @@ Note that this option is not yet available with RK3 time-stepping.
%\nlst{namsplit}
The split-explicit free surface formulation used in \NEMO\
(\np{ln_dynspg_ts}{ln\_dynspg\_ts} set to true), also called the time-splitting
(\np[=.true.]{ln_dynspg_ts}{ln\_dynspg\_ts}), also called the time-splitting
formulation, follows the one proposed by \citet{shchepetkin.mcwilliams_OM05}. The general
idea is to solve the free surface equation and the associated barotropic velocity
equations with a smaller time step than $\rdt$, the time step used for the three
......@@ -140,13 +140,12 @@ hand side of \autoref{eq:D2D_BT_dyn} represents the bottom stress (see section
\autoref{sec:ZDF_drg}), explicitly accounted for at each barotropic iteration.
For 'single 1$^{\mathrm st}$', RK3 time-stepping, barotropic velocities and sea surface
height are calculated for the {\textit after} timestep from the {\textit before} values
height are calculated for the \textit{after} timestep from the \textit{before} values
prior to the first stage of the main RK3 timestepping. This occurs in the new module
\forcode{stp2d.F90} which computes the RHS forcing terms from {\textit before} fields and
\forcode{stp2d.F90} which computes the RHS forcing terms from \textit{before} fields and
then calls the \forcode{dyn_spg_ts} routine to perform the time-stepping as detailed
below. In the MLF time-stepping case, RHS forcing terms are computed inside
\forcode{dyn_spg_ts} itself and the time index used will depend on options chosen in
\forcode{namspgts}.
\forcode{dyn_spg_ts} itself.
For clarity, in RK3 the RHS forcing terms on momentum are vertically averaged 3D trends of:
\[
......@@ -275,7 +274,7 @@ river runoff is taken into account when computing the net freshwater flux.
parameterised contributions from ice-shelf cavities are taken into account when computing
the net freshwater flux.
(3) When \np[=.true.]{ln_sdw}{ln\_sdw} (see \autoref{sec:SBC_wave_sdw}), the contribution from
(3) When \np[=.true.]{ln_sdw}{ln\_sdw} (see \autoref{subsec:SBC_wave_sdw}), the contribution from
divergence due to Stoke's drift is taken into account when computing the net freshwater
flux.
......
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