Changeset 9392 for branches/2017/dev_merge_2017/DOC/tex_sub/annex_iso.tex
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- 2018-03-09T16:57:00+01:00 (6 years ago)
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branches/2017/dev_merge_2017/DOC/tex_sub/annex_iso.tex
r9389 r9392 15 15 16 16 Two scheme are available to perform the iso-neutral diffusion. 17 If the namelist logical \np{ln \_traldf\_triad} is set true,17 If the namelist logical \np{ln_traldf_triad} is set true, 18 18 \NEMO updates both active and passive tracers using the Griffies triad representation 19 19 of iso-neutral diffusion and the eddy-induced advective skew (GM) fluxes. 20 If the namelist logical \np{ln \_traldf\_iso} is set true,20 If the namelist logical \np{ln_traldf_iso} is set true, 21 21 the filtered version of Cox's original scheme (the Standard scheme) is employed (\S\ref{LDF_slp}). 22 22 In the present implementation of the Griffies scheme, 23 the advective skew fluxes are implemented even if \np{ln \_traldf\_eiv} is false.23 the advective skew fluxes are implemented even if \np{ln_traldf_eiv} is false. 24 24 25 25 Values of iso-neutral diffusivity and GM coefficient are set as … … 31 31 The options specific to the Griffies scheme include: 32 32 \begin{description}[font=\normalfont] 33 \item[\np{ln \_triad\_iso}] See \S\ref{sec:triad:taper}. If this is set false (the default), then33 \item[\np{ln_triad_iso}] See \S\ref{sec:triad:taper}. If this is set false (the default), then 34 34 `iso-neutral' mixing is accomplished within the surface mixed-layer 35 35 along slopes linearly decreasing with depth from the value immediately below 36 36 the mixed-layer to zero (flat) at the surface (\S\ref{sec:triad:lintaper}). 37 37 This is the same treatment as used in the default implementation \S\ref{LDF_slp_iso}; Fig.~\ref{Fig_eiv_slp}. 38 Where \np{ln \_triad\_iso} is set true, the vertical skew flux is further reduced38 Where \np{ln_triad_iso} is set true, the vertical skew flux is further reduced 39 39 to ensure no vertical buoyancy flux, giving an almost pure 40 40 horizontal diffusive tracer flux within the mixed layer. This is similar to 41 41 the tapering suggested by \citet{Gerdes1991}. See \S\ref{sec:triad:Gerdes-taper} 42 \item[\np{ln \_botmix\_triad}] See \S\ref{sec:triad:iso_bdry}.42 \item[\np{ln_botmix_triad}] See \S\ref{sec:triad:iso_bdry}. 43 43 If this is set false (the default) then the lateral diffusive fluxes 44 44 associated with triads partly masked by topography are neglected. 45 45 If it is set true, however, then these lateral diffusive fluxes are applied, 46 46 giving smoother bottom tracer fields at the cost of introducing diapycnal mixing. 47 \item[\np{rn \_sw\_triad}] blah blah to be added....47 \item[\np{rn_sw_triad}] blah blah to be added.... 48 48 \end{description} 49 49 The options shared with the Standard scheme include: 50 50 \begin{description}[font=\normalfont] 51 \item[\np{ln \_traldf\_msc}] blah blah to be added52 \item[\np{rn \_slpmax}] blah blah to be added51 \item[\np{ln_traldf_msc}] blah blah to be added 52 \item[\np{rn_slpmax}] blah blah to be added 53 53 \end{description} 54 54 \section{Triad formulation of iso-neutral diffusion} … … 651 651 or $i+1,k+1$ tracer points is masked, i.e.\ the $i,k+1$ $u$-point is 652 652 masked. The associated lateral fluxes (grey-black dashed line) are 653 masked if \ np{ln\_botmix\_triad}=false, but left unmasked,654 giving bottom mixing, if \ np{ln\_botmix\_triad}=true.655 656 The default option \ np{ln\_botmix\_triad}=falseis suitable when the657 bbl mixing option is enabled (\key{trabbl}, with \ np{nn\_bbl\_ldf}=1),653 masked if \forcode{ln_botmix_triad = .false.}, but left unmasked, 654 giving bottom mixing, if \forcode{ln_botmix_triad = .true.}. 655 656 The default option \forcode{ln_botmix_triad = .false.} is suitable when the 657 bbl mixing option is enabled (\key{trabbl}, with \forcode{nn_bbl_ldf = 1}), 658 658 or for simple idealized problems. For setups with topography without 659 bbl mixing, \ np{ln\_botmix\_triad}=truemay be necessary.659 bbl mixing, \forcode{ln_botmix_triad = .true.} may be necessary. 660 660 % >>>>>>>>>>>>>>>>>>>>>>>>>>>> 661 661 \begin{figure}[h] \begin{center} … … 674 674 or $i+1,k+1$ tracer points is masked, i.e.\ the $i,k+1$ $u$-point 675 675 is masked. The associated lateral fluxes (grey-black dashed 676 line) are masked if \protect\np{botmix \_triad}=.false., but left677 unmasked, giving bottom mixing, if \protect\np{botmix \_triad}=.true.}676 line) are masked if \protect\np{botmix_triad}=.false., but left 677 unmasked, giving bottom mixing, if \protect\np{botmix_triad}=.true.} 678 678 \end{center} \end{figure} 679 679 % >>>>>>>>>>>>>>>>>>>>>>>>>>>> … … 710 710 \subsubsection{Linear slope tapering within the surface mixed layer}\label{sec:triad:lintaper} 711 711 This is the option activated by the default choice 712 \ np{ln\_triad\_iso}=false. Slopes $\tilde{r}_i$ relative to712 \forcode{ln_triad_iso = .false.}. Slopes $\tilde{r}_i$ relative to 713 713 geopotentials are tapered linearly from their value immediately below the mixed layer to zero at the 714 714 surface, as described in option (c) of Fig.~\ref{Fig_eiv_slp}, to values … … 842 842 components} 843 843 \label{sec:triad:Gerdes-taper} 844 The alternative option is activated by setting \np{ln \_triad\_iso} =844 The alternative option is activated by setting \np{ln_triad_iso} = 845 845 true. This retains the same tapered slope $\rML$ described above for the 846 846 calculation of the $_{33}$ term of the iso-neutral diffusion tensor (the … … 917 917 it to the Eulerian velocity prior to computing the tracer 918 918 advection. This is implemented if \key{traldf\_eiv} is set in the 919 default implementation, where \np{ln \_traldf\_triad} is set919 default implementation, where \np{ln_traldf_triad} is set 920 920 false. This allows us to take advantage of all the advection schemes 921 921 offered for the tracers (see \S\ref{TRA_adv}) and not just a $2^{nd}$ … … 924 924 paramount importance. 925 925 926 However, when \np{ln \_traldf\_triad} is set true, \NEMO instead926 However, when \np{ln_traldf_triad} is set true, \NEMO instead 927 927 implements eddy induced advection according to the so-called skew form 928 928 \citep{Griffies_JPO98}. It is based on a transformation of the advective fluxes … … 1123 1123 and $\triadt{i+1}{k}{R}{-1/2}{1/2}$ are masked when either of the 1124 1124 $i,k+1$ or $i+1,k+1$ tracer points is masked, i.e.\ the $i,k+1$ 1125 $u$-point is masked. The namelist parameter \np{ln \_botmix\_triad} has1125 $u$-point is masked. The namelist parameter \np{ln_botmix_triad} has 1126 1126 no effect on the eddy-induced skew-fluxes. 1127 1127 … … 1138 1138 option (c) of Fig.~\ref{Fig_eiv_slp}. This linear tapering for the 1139 1139 slopes used to calculate the eddy-induced fluxes is 1140 unaffected by the value of \np{ln \_triad\_iso}.1140 unaffected by the value of \np{ln_triad_iso}. 1141 1141 1142 1142 The justification for this linear slope tapering is that, for $A_e$ … … 1153 1153 1154 1154 \subsection{Streamfunction diagnostics}\label{sec:triad:sfdiag} 1155 Where the namelist parameter \ np{ln\_traldf\_gdia}=true, diagnosed1155 Where the namelist parameter \forcode{ln_traldf_gdia = .true.}, diagnosed 1156 1156 mean eddy-induced velocities are output. Each time step, 1157 1157 streamfunctions are calculated in the $i$-$k$ and $j$-$k$ planes at
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