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Changeset 11558 for NEMO/trunk/doc/latex/NEMO/subfiles/apdx_s_coord.tex – NEMO

Ignore:
Timestamp:
2019-09-17T17:04:06+02:00 (5 years ago)
Author:
nicolasmartin
Message:

Review all figure envs + activation of listoflistings

  1. Figure env:
    • Replace center sub-env with only \centering cmd
    • Add alternate caption for \listoffigures (shorter one between square brackets, i.e. \caption[]{})
    • Place \label outside of \caption and remove useless \protect
  1. Namelist listings
    • Put \nlst with the namelist inlcusion in a listing float env with caption and label
    • Remove namelist duplicates

-- This line, and those below, will be ignored--
M subfiles/apdx_triads.tex
M subfiles/chap_model_basics_zstar.tex
M subfiles/chap_SBC.tex
M subfiles/apdx_DOMAINcfg.tex
M subfiles/apdx_s_coord.tex
M subfiles/chap_DOM.tex
M subfiles/chap_ASM.tex
M subfiles/chap_DIU.tex
M subfiles/chap_cfgs.tex
M subfiles/chap_ZDF.tex
M subfiles/chap_OBS.tex
M subfiles/chap_model_basics.tex
M subfiles/chap_time_domain.tex
M subfiles/apdx_algos.tex
M subfiles/chap_TRA.tex
M subfiles/chap_DYN.tex
M subfiles/chap_misc.tex
M subfiles/chap_DIA.tex
M subfiles/apdx_invariants.tex
M subfiles/chap_LBC.tex
M subfiles/apdx_diff_opers.tex
M subfiles/chap_STO.tex
M subfiles/chap_LDF.tex

File:
1 edited

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

    r11543 r11558  
    6363Using the first form and considering a change $\delta i$ with $j, z$ and $t$ held constant, shows that 
    6464\begin{equation} 
    65   \label{eq:SCOORD_s_chain_rule} 
     65  \label{eq:SCOORD_s_chain_rule1} 
    6666      \left. {\frac{\partial \bullet }{\partial i}} \right|_{j,z,t}  = 
    6767      \left. {\frac{\partial \bullet }{\partial i}} \right|_{j,s,t} 
     
    102102the model equations in the curvilinear $s-$coordinate system are: 
    103103\begin{equation} 
    104   \label{eq:SCOORD_s_chain_rule} 
     104  \label{eq:SCOORD_s_chain_rule2} 
    105105  \begin{aligned} 
    106106    &\left. {\frac{\partial \bullet }{\partial t}} \right|_z  = 
     
    128128\label{sec:SCOORD_continuity} 
    129129 
    130 Using (\autoref{eq:SCOORD_s_chain_rule}) and 
     130Using (\autoref{eq:SCOORD_s_chain_rule1}) and 
    131131the fact that the horizontal scale factors $e_1$ and $e_2$ do not depend on the vertical coordinate, 
    132132the divergence of the velocity relative to the ($i$,$j$,$z$) coordinate system is transformed as follows in order to 
     
    272272        +  w \;\frac{\partial u}{\partial z}      \\ 
    273273        % 
    274       \intertext{introducing the chain rule (\autoref{eq:SCOORD_s_chain_rule}) } 
     274      \intertext{introducing the chain rule (\autoref{eq:SCOORD_s_chain_rule1}) } 
    275275      % 
    276276      &= \left. {\frac{\partial u }{\partial t}} \right|_z 
     
    317317\end{subequations} 
    318318% 
    319 Applying the time derivative chain rule (first equation of (\autoref{eq:SCOORD_s_chain_rule})) to $u$ and 
     319Applying the time derivative chain rule (first equation of (\autoref{eq:SCOORD_s_chain_rule1})) to $u$ and 
    320320using (\autoref{eq:SCOORD_w_in_s}) provides the expression of the last term of the right hand side, 
    321321\[ 
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