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Changeset 11543 for NEMO/trunk/doc/latex/NEMO/subfiles/chap_SBC.tex – NEMO

Ignore:
Timestamp:
2019-09-13T15:57:52+02:00 (5 years ago)
Author:
nicolasmartin
Message:

Implementation of convention for labelling references + files renaming
Now each reference is supposed to have the information of the chapter in its name
to identify quickly which file contains the reference (\label{$prefix:$chap_...)

Rename the appendices from 'annex_' to 'apdx_' to conform with the prefix used in labels (apdx:...)
Suppress the letter numbering

File:
1 edited

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  • NEMO/trunk/doc/latex/NEMO/subfiles/chap_SBC.tex

    r11537 r11543  
    109109Next, the scheme for interpolation on the fly is described. 
    110110Finally, the different options that further modify the fluxes applied to the ocean are discussed. 
    111 One of these is modification by icebergs (see \autoref{sec:ICB_icebergs}), 
     111One of these is modification by icebergs (see \autoref{sec:SBC_ICB_icebergs}), 
    112112which act as drifting sources of fresh water. 
    113113Another example of modification is that due to the ice shelf melting/freezing (see \autoref{sec:SBC_isf}), 
     
    124124The surface ocean stress is the stress exerted by the wind and the sea-ice on the ocean. 
    125125It is applied in \mdl{dynzdf} module as a surface boundary condition of the computation of 
    126 the momentum vertical mixing trend (see \autoref{eq:dynzdf_sbc} in \autoref{sec:DYN_zdf}). 
     126the momentum vertical mixing trend (see \autoref{eq:DYN_zdf_sbc} in \autoref{sec:DYN_zdf}). 
    127127As such, it has to be provided as a 2D vector interpolated onto the horizontal velocity ocean mesh, 
    128128\ie\ resolved onto the model (\textbf{i},\textbf{j}) direction at $u$- and $v$-points. 
     
    135135It is applied in \mdl{trasbc} module as a surface boundary condition trend of 
    136136the first level temperature time evolution equation 
    137 (see \autoref{eq:tra_sbc} and \autoref{eq:tra_sbc_lin} in \autoref{subsec:TRA_sbc}). 
     137(see \autoref{eq:TRA_sbc} and \autoref{eq:TRA_sbc_lin} in \autoref{subsec:TRA_sbc}). 
    138138The latter is the penetrative part of the heat flux. 
    139139It is applied as a 3D trend of the temperature equation (\mdl{traqsr} module) when 
     
    177177The ocean model provides, at each time step, to the surface module (\mdl{sbcmod}) 
    178178the surface currents, temperature and salinity. 
    179 These variables are averaged over \np{nn\_fsbc} time-step (\autoref{tab:ssm}), and 
     179These variables are averaged over \np{nn\_fsbc} time-step (\autoref{tab:SBC_ssm}), and 
    180180these averaged fields are used to compute the surface fluxes at the frequency of \np{nn\_fsbc} time-steps. 
    181181 
     
    193193    \end{tabular} 
    194194    \caption{ 
    195       \protect\label{tab:ssm} 
     195      \protect\label{tab:SBC_ssm} 
    196196      Ocean variables provided by the ocean to the surface module (SBC). 
    197197      The variable are averaged over \np{nn\_fsbc} time-step, 
     
    264264  This stem will be completed automatically by the model, with the addition of a '.nc' at its end and 
    265265  by date information and possibly a prefix (when using AGRIF). 
    266   \autoref{tab:fldread} provides the resulting file name in all possible cases according to 
     266  \autoref{tab:SBC_fldread} provides the resulting file name in all possible cases according to 
    267267  whether it is a climatological file or not, and to the open/close frequency (see below for definition). 
    268268 
     
    278278    \end{center} 
    279279    \caption{ 
    280       \protect\label{tab:fldread} 
     280      \protect\label{tab:SBC_fldread} 
    281281      naming nomenclature for climatological or interannual input file(s), as a function of the open/close frequency. 
    282282      The stem name is assumed to be 'fn'. 
     
    515515% ------------------------------------------------------------------------------------------------------------- 
    516516\subsection{Standalone surface boundary condition scheme (SAS)} 
    517 \label{subsec:SAS} 
     517\label{subsec:SBC_SAS} 
    518518 
    519519%---------------------------------------namsbc_sas-------------------------------------------------- 
     
    649649%--------------------------------------------------TABLE-------------------------------------------------- 
    650650\begin{table}[htbp] 
    651   \label{tab:BULK} 
     651  \label{tab:SBC_BULK} 
    652652  \begin{center} 
    653653    \begin{tabular}{|l|c|c|c|} 
     
    852852The tidal forcing, generated by the gravity forces of the Earth-Moon and Earth-Sun sytems, 
    853853is activated if \np{ln\_tide} and \np{ln\_tide\_pot} are both set to \forcode{.true.} in \nam{\_tide}. 
    854 This translates as an additional barotropic force in the momentum equations \ref{eq:PE_dyn} such that: 
    855 \[ 
    856   % \label{eq:PE_dyn_tides} 
     854This translates as an additional barotropic force in the momentum \autoref{eq:MB_PE_dyn} such that: 
     855\[ 
     856  % \label{eq:SBC_PE_dyn_tides} 
    857857  \frac{\partial {\mathrm {\mathbf U}}_h }{\partial t}= ... 
    858858  +g\nabla (\Pi_{eq} + \Pi_{sal}) 
     
    895895%        River runoffs 
    896896% ================================================================ 
    897 \section[River runoffs (\textit{sbcrnf.F90})] 
    898 {River runoffs (\protect\mdl{sbcrnf})} 
     897\section[River runoffs (\textit{sbcrnf.F90})]{River runoffs (\protect\mdl{sbcrnf})} 
    899898\label{sec:SBC_rnf} 
    900899%------------------------------------------namsbc_rnf---------------------------------------------------- 
     
    10221021%        Ice shelf melting 
    10231022% ================================================================ 
    1024 \section[Ice shelf melting (\textit{sbcisf.F90})] 
    1025 {Ice shelf melting (\protect\mdl{sbcisf})} 
     1023\section[Ice shelf melting (\textit{sbcisf.F90})]{Ice shelf melting (\protect\mdl{sbcisf})} 
    10261024\label{sec:SBC_isf} 
    10271025%------------------------------------------namsbc_isf---------------------------------------------------- 
     
    10661064     The salt and heat exchange coefficients are constant and defined by \np{rn\_gammas0} and \np{rn\_gammat0}. 
    10671065\[ 
    1068   % \label{eq:sbc_isf_gamma_iso} 
     1066  % \label{eq:SBC_isf_gamma_iso} 
    10691067\gamma^{T} = \np{rn\_gammat0} 
    10701068\] 
     
    12131211% ================================================================ 
    12141212\section{Handling of icebergs (ICB)} 
    1215 \label{sec:ICB_icebergs} 
     1213\label{sec:SBC_ICB_icebergs} 
    12161214%------------------------------------------namberg---------------------------------------------------- 
    12171215 
     
    12821280%        Interactions with waves (sbcwave.F90, ln_wave) 
    12831281% ============================================================================================================= 
    1284 \section[Interactions with waves (\textit{sbcwave.F90}, \texttt{ln\_wave})] 
    1285 {Interactions with waves (\protect\mdl{sbcwave}, \protect\np{ln\_wave})} 
     1282\section[Interactions with waves (\textit{sbcwave.F90}, \texttt{ln\_wave})]{Interactions with waves (\protect\mdl{sbcwave}, \protect\np{ln\_wave})} 
    12861283\label{sec:SBC_wave} 
    12871284%------------------------------------------namsbc_wave-------------------------------------------------------- 
     
    13141311 
    13151312% ---------------------------------------------------------------- 
    1316 \subsection[Neutral drag coefficient from wave model (\texttt{ln\_cdgw})] 
    1317 {Neutral drag coefficient from wave model (\protect\np{ln\_cdgw})} 
     1313\subsection[Neutral drag coefficient from wave model (\texttt{ln\_cdgw})]{Neutral drag coefficient from wave model (\protect\np{ln\_cdgw})} 
    13181314\label{subsec:SBC_wave_cdgw} 
    13191315 
     
    13281324% 3D Stokes Drift (ln_sdw, nn_sdrift) 
    13291325% ---------------------------------------------------------------- 
    1330 \subsection[3D Stokes Drift (\texttt{ln\_sdw}, \texttt{nn\_sdrift})] 
    1331 {3D Stokes Drift (\protect\np{ln\_sdw, nn\_sdrift})} 
     1326\subsection[3D Stokes Drift (\texttt{ln\_sdw}, \texttt{nn\_sdrift})]{3D Stokes Drift (\protect\np{ln\_sdw, nn\_sdrift})} 
    13321327\label{subsec:SBC_wave_sdw} 
    13331328 
     
    13431338 
    13441339\[ 
    1345   % \label{eq:sbc_wave_sdw} 
     1340  % \label{eq:SBC_wave_sdw} 
    13461341  \mathbf{U}_{st} = \frac{16{\pi^3}} {g} 
    13471342  \int_0^\infty \int_{-\pi}^{\pi} (cos{\theta},sin{\theta}) {f^3} 
     
    13681363 
    13691364\[ 
    1370   % \label{eq:sbc_wave_sdw_0a} 
     1365  % \label{eq:SBC_wave_sdw_0a} 
    13711366  \mathbf{U}_{st} \cong \mathbf{U}_{st |_{z=0}} \frac{\mathrm{e}^{-2k_ez}} {1-8k_ez} 
    13721367\] 
     
    13751370 
    13761371\[ 
    1377   % \label{eq:sbc_wave_sdw_0b} 
     1372  % \label{eq:SBC_wave_sdw_0b} 
    13781373  k_e = \frac{|\mathbf{U}_{\left.st\right|_{z=0}}|} {|T_{st}|} 
    13791374  \quad \text{and }\ 
     
    13881383 
    13891384\[ 
    1390   % \label{eq:sbc_wave_sdw_1} 
     1385  % \label{eq:SBC_wave_sdw_1} 
    13911386  \mathbf{U}_{st} \cong \mathbf{U}_{st |_{z=0}} \Big[exp(2k_pz)-\beta \sqrt{-2 \pi k_pz} 
    13921387  \textit{ erf } \Big(\sqrt{-2 k_pz}\Big)\Big] 
     
    14041399 
    14051400\[ 
    1406   % \label{eq:sbc_wave_eta_sdw} 
     1401  % \label{eq:SBC_wave_eta_sdw} 
    14071402  \frac{\partial{\eta}}{\partial{t}} = 
    14081403  -\nabla_h \int_{-H}^{\eta} (\mathbf{U} + \mathbf{U}_{st}) dz 
     
    14161411 
    14171412\[ 
    1418   % \label{eq:sbc_wave_tra_sdw} 
     1413  % \label{eq:SBC_wave_tra_sdw} 
    14191414  \frac{\partial{c}}{\partial{t}} = 
    14201415  - (\mathbf{U} + \mathbf{U}_{st}) \cdot \nabla{c} 
     
    14251420% Stokes-Coriolis term (ln_stcor) 
    14261421% ---------------------------------------------------------------- 
    1427 \subsection[Stokes-Coriolis term (\texttt{ln\_stcor})] 
    1428 {Stokes-Coriolis term (\protect\np{ln\_stcor})} 
     1422\subsection[Stokes-Coriolis term (\texttt{ln\_stcor})]{Stokes-Coriolis term (\protect\np{ln\_stcor})} 
    14291423\label{subsec:SBC_wave_stcor} 
    14301424 
     
    14401434% Waves modified stress (ln_tauwoc, ln_tauw) 
    14411435% ---------------------------------------------------------------- 
    1442 \subsection[Wave modified stress (\texttt{ln\_tauwoc}, \texttt{ln\_tauw})] 
    1443 {Wave modified sress (\protect\np{ln\_tauwoc, ln\_tauw})} 
     1436\subsection[Wave modified stress (\texttt{ln\_tauwoc}, \texttt{ln\_tauw})]{Wave modified sress (\protect\np{ln\_tauwoc, ln\_tauw})} 
    14441437\label{subsec:SBC_wave_tauw} 
    14451438 
     
    14531446 
    14541447\[ 
    1455   % \label{eq:sbc_wave_tauoc} 
     1448  % \label{eq:SBC_wave_tauoc} 
    14561449  \tau_{oc,a} = \tau_a - \tau_w 
    14571450\] 
     
    14611454 
    14621455\[ 
    1463   % \label{eq:sbc_wave_tauw} 
     1456  % \label{eq:SBC_wave_tauw} 
    14641457  \tau_w = \rho g \int {\frac{dk}{c_p} (S_{in}+S_{nl}+S_{diss})} 
    14651458\] 
     
    14901483%        Diurnal cycle 
    14911484% ------------------------------------------------------------------------------------------------------------- 
    1492 \subsection[Diurnal cycle (\textit{sbcdcy.F90})] 
    1493 {Diurnal cycle (\protect\mdl{sbcdcy})} 
     1485\subsection[Diurnal cycle (\textit{sbcdcy.F90})]{Diurnal cycle (\protect\mdl{sbcdcy})} 
    14941486\label{subsec:SBC_dcy} 
    14951487%------------------------------------------namsbc------------------------------------------------------------- 
     
    15771569%        Surface restoring to observed SST and/or SSS 
    15781570% ------------------------------------------------------------------------------------------------------------- 
    1579 \subsection[Surface restoring to observed SST and/or SSS (\textit{sbcssr.F90})] 
    1580 {Surface restoring to observed SST and/or SSS (\protect\mdl{sbcssr})} 
     1571\subsection[Surface restoring to observed SST and/or SSS (\textit{sbcssr.F90})]{Surface restoring to observed SST and/or SSS (\protect\mdl{sbcssr})} 
    15811572\label{subsec:SBC_ssr} 
    15821573%------------------------------------------namsbc_ssr---------------------------------------------------- 
     
    15891580a feedback term \emph{must} be added to the surface heat flux $Q_{ns}^o$: 
    15901581\[ 
    1591   % \label{eq:sbc_dmp_q} 
     1582  % \label{eq:SBC_dmp_q} 
    15921583  Q_{ns} = Q_{ns}^o + \frac{dQ}{dT} \left( \left. T \right|_{k=1} - SST_{Obs} \right) 
    15931584\] 
     
    16021593 
    16031594\begin{equation} 
    1604   \label{eq:sbc_dmp_emp} 
     1595  \label{eq:SBC_dmp_emp} 
    16051596  \textit{emp} = \textit{emp}_o + \gamma_s^{-1} e_{3t}  \frac{  \left(\left.S\right|_{k=1}-SSS_{Obs}\right)} 
    16061597  {\left.S\right|_{k=1}} 
     
    16131604$\left.S\right|_{k=1}$ is the model surface layer salinity and 
    16141605$\gamma_s$ is a negative feedback coefficient which is provided as a namelist parameter. 
    1615 Unlike heat flux, there is no physical justification for the feedback term in \autoref{eq:sbc_dmp_emp} as 
     1606Unlike heat flux, there is no physical justification for the feedback term in \autoref{eq:SBC_dmp_emp} as 
    16161607the atmosphere does not care about ocean surface salinity \citep{madec.delecluse_IWN97}. 
    16171608The SSS restoring term should be viewed as a flux correction on freshwater fluxes to 
     
    16631654%        CICE-ocean Interface 
    16641655% ------------------------------------------------------------------------------------------------------------- 
    1665 \subsection[Interface to CICE (\textit{sbcice\_cice.F90})] 
    1666 {Interface to CICE (\protect\mdl{sbcice\_cice})} 
     1656\subsection[Interface to CICE (\textit{sbcice\_cice.F90})]{Interface to CICE (\protect\mdl{sbcice\_cice})} 
    16671657\label{subsec:SBC_cice} 
    16681658 
     
    16981688%        Freshwater budget control 
    16991689% ------------------------------------------------------------------------------------------------------------- 
    1700 \subsection[Freshwater budget control (\textit{sbcfwb.F90})] 
    1701 {Freshwater budget control (\protect\mdl{sbcfwb})} 
     1690\subsection[Freshwater budget control (\textit{sbcfwb.F90})]{Freshwater budget control (\protect\mdl{sbcfwb})} 
    17021691\label{subsec:SBC_fwb} 
    17031692 
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