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Changeset 9414 for branches/2017/dev_merge_2017/DOC/tex_sub/annex_A.tex – NEMO

Ignore:
Timestamp:
2018-03-21T15:39:48+01:00 (6 years ago)
Author:
nicolasmartin
Message:

Fix multiple defined references

File:
1 edited

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  • branches/2017/dev_merge_2017/DOC/tex_sub/annex_A.tex

    r9408 r9414  
    1616% ================================================================ 
    1717\section{Chain rule for $s-$coordinates} 
    18 \label{sec:A_continuity} 
     18\label{sec:A_chain} 
    1919 
    2020In order to establish the set of Primitive Equation in curvilinear $s$-coordinates 
     
    382382Applying similar manipulation to the second component and replacing  
    383383$\sigma _1$ and $\sigma _2$ by their expression \autoref{apdx:A_s_slope}, it comes: 
    384 \begin{equation} \label{apdx:A_grad_p} 
     384\begin{equation} \label{apdx:A_grad_p_1} 
    385385\begin{split} 
    386386 -\frac{1}{\rho _o \, e_1 } \left. {\frac{\partial p}{\partial i}} \right|_z 
     
    394394\end{equation} 
    395395 
    396 An additional term appears in (\autoref{apdx:A_grad_p}) which accounts for the  
     396An additional term appears in (\autoref{apdx:A_grad_p_1}) which accounts for the  
    397397tilt of $s-$surfaces with respect to geopotential $z-$surfaces. 
    398398 
     
    416416\end{equation*} 
    417417 
    418 Substituing \autoref{apdx:A_pressure} in \autoref{apdx:A_grad_p} and using the definition of  
     418Substituing \autoref{apdx:A_pressure} in \autoref{apdx:A_grad_p_1} and using the definition of  
    419419the density anomaly it comes the expression in two parts: 
    420 \begin{equation} \label{apdx:A_grad_p} 
     420\begin{equation} \label{apdx:A_grad_p_2} 
    421421\begin{split} 
    422422 -\frac{1}{\rho _o \, e_1 } \left. {\frac{\partial p}{\partial i}} \right|_z 
     
    430430\end{equation} 
    431431This formulation of the pressure gradient is characterised by the appearance of a term depending on the  
    432 the sea surface height only (last term on the right hand side of expression \autoref{apdx:A_grad_p}). 
     432the sea surface height only (last term on the right hand side of expression \autoref{apdx:A_grad_p_2}). 
    433433This term will be loosely termed \textit{surface pressure gradient} 
    434434whereas the first term will be termed the  
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