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Changeset 11296 for NEMO/branches/2019/dev_r11233_obsasm_docfixes/doc/latex/NEMO/subfiles/chap_ASM.tex – NEMO

Ignore:
Timestamp:
2019-07-18T15:41:15+02:00 (5 years ago)
Author:
djlea
Message:

#2297 Updates to OBS and ASM documentation - first sweep.

File:
1 edited

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  • NEMO/branches/2019/dev_r11233_obsasm_docfixes/doc/latex/NEMO/subfiles/chap_ASM.tex

    r11151 r11296  
    88\label{chap:ASM} 
    99 
    10 Authors: D. Lea,  M. Martin, K. Mogensen, A. Weaver, ...   % do we keep 
     10Authors: D. Lea,  M. Martin, K. Mogensen, A. Weaver. 
    1111 
    1212\minitoc 
     
    1515 
    1616The ASM code adds the functionality to apply increments to the model variables: temperature, salinity, 
    17 sea surface height, velocity and sea ice concentration.  
     17sea surface height, velocity and sea ice concentration. 
    1818These are read into the model from a NetCDF file which may be produced by separate data assimilation code. 
    1919The code can also output model background fields which are used as an input to data assimilation code. 
     
    5656Typically the increments are spread evenly over the full window. 
    5757In addition, two different weighting functions have been implemented. 
    58 The first function employs constant weights,  
     58The first function (namelist option \np{niaufn} = 0) employs constant weights, 
    5959\begin{align} 
    6060  \label{eq:F1_i} 
     
    6666    0     &    {\mathrm if} \; \; \; t_{i} > t_{n} 
    6767  \end{array} 
    68             \right.  
     68            \right. 
    6969\end{align} 
    7070where $M = m-n$. 
    71 The second function employs peaked hat-like weights in order to give maximum weight in the centre of the sub-window, 
     71The second function (namelist option \np{niaufn} = 1) employs peaked hat-like weights in order to give maximum weight in the centre of the sub-window, 
    7272with the weighting reduced linearly to a small value at the window end-points: 
    7373\begin{align} 
     
    8383                                   \right. 
    8484\end{align} 
    85 where $\alpha^{-1} = \sum_{i=1}^{M/2} 2i$ and $M$ is assumed to be even.  
     85where $\alpha^{-1} = \sum_{i=1}^{M/2} 2i$ and $M$ is assumed to be even. 
    8686The weights described by \autoref{eq:F2_i} provide a smoother transition of the analysis trajectory from 
    8787one assimilation cycle to the next than that described by \autoref{eq:F1_i}. 
     
    105105  \right., 
    106106\end{equation} 
    107 where 
     107where the divergence is defined as 
    108108\[ 
    109109  % \label{eq:asm_div} 
     
    122122The divergence damping is activated by assigning to \np{nn\_divdmp} in the \textit{nam\_asminc} namelist 
    123123a value greater than zero. 
    124 By choosing this value to be of the order of 100 the increments in 
    125 the vertical velocity will be significantly reduced. 
     124This specifies the number of iterations of the divergence damping. Setting a value of the order of 100 will result in a significant reduction in the vertical velocity induced by the increments. 
    126125 
    127126 
     
    131130\label{sec:ASM_details} 
    132131 
    133 Here we show an example \ngn{namasm} namelist and the header of an example assimilation increments file on 
     132Here we show an example \ngn{nam\_asminc} namelist and the header of an example assimilation increments file on 
    134133the ORCA2 grid. 
    135134 
    136 %------------------------------------------namasm----------------------------------------------------- 
     135%------------------------------------------nam_asminc----------------------------------------------------- 
    137136% 
    138137\nlst{nam_asminc} 
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