diff --git a/latex/NEMO/subfiles/chap_D2D.tex b/latex/NEMO/subfiles/chap_D2D.tex index ca4e727d207626434846fd36a7bbc97bfdae5175..de7f9e3dcd510c6eaea2555be86221014c21468c 100644 --- a/latex/NEMO/subfiles/chap_D2D.tex +++ b/latex/NEMO/subfiles/chap_D2D.tex @@ -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.