Changeset 11296 for NEMO/branches/2019/dev_r11233_obsasm_docfixes/doc/latex/NEMO/subfiles/chap_ASM.tex
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- 2019-07-18T15:41:15+02:00 (5 years ago)
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NEMO/branches/2019/dev_r11233_obsasm_docfixes/doc/latex/NEMO/subfiles/chap_ASM.tex
r11151 r11296 8 8 \label{chap:ASM} 9 9 10 Authors: D. Lea, M. Martin, K. Mogensen, A. Weaver , ... % do we keep10 Authors: D. Lea, M. Martin, K. Mogensen, A. Weaver. 11 11 12 12 \minitoc … … 15 15 16 16 The ASM code adds the functionality to apply increments to the model variables: temperature, salinity, 17 sea surface height, velocity and sea ice concentration. 17 sea surface height, velocity and sea ice concentration. 18 18 These are read into the model from a NetCDF file which may be produced by separate data assimilation code. 19 19 The code can also output model background fields which are used as an input to data assimilation code. … … 56 56 Typically the increments are spread evenly over the full window. 57 57 In addition, two different weighting functions have been implemented. 58 The first function employs constant weights,58 The first function (namelist option \np{niaufn} = 0) employs constant weights, 59 59 \begin{align} 60 60 \label{eq:F1_i} … … 66 66 0 & {\mathrm if} \; \; \; t_{i} > t_{n} 67 67 \end{array} 68 \right. 68 \right. 69 69 \end{align} 70 70 where $M = m-n$. 71 The second function employs peaked hat-like weights in order to give maximum weight in the centre of the sub-window,71 The 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, 72 72 with the weighting reduced linearly to a small value at the window end-points: 73 73 \begin{align} … … 83 83 \right. 84 84 \end{align} 85 where $\alpha^{-1} = \sum_{i=1}^{M/2} 2i$ and $M$ is assumed to be even. 85 where $\alpha^{-1} = \sum_{i=1}^{M/2} 2i$ and $M$ is assumed to be even. 86 86 The weights described by \autoref{eq:F2_i} provide a smoother transition of the analysis trajectory from 87 87 one assimilation cycle to the next than that described by \autoref{eq:F1_i}. … … 105 105 \right., 106 106 \end{equation} 107 where 107 where the divergence is defined as 108 108 \[ 109 109 % \label{eq:asm_div} … … 122 122 The divergence damping is activated by assigning to \np{nn\_divdmp} in the \textit{nam\_asminc} namelist 123 123 a 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. 124 This 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. 126 125 127 126 … … 131 130 \label{sec:ASM_details} 132 131 133 Here we show an example \ngn{nam asm} namelist and the header of an example assimilation increments file on132 Here we show an example \ngn{nam\_asminc} namelist and the header of an example assimilation increments file on 134 133 the ORCA2 grid. 135 134 136 %------------------------------------------nam asm-----------------------------------------------------135 %------------------------------------------nam_asminc----------------------------------------------------- 137 136 % 138 137 \nlst{nam_asminc}
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