Changeset 9407 for branches/2017/dev_merge_2017/DOC/tex_sub/chap_ASM.tex
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- 2018-03-15T17:40:35+01:00 (6 years ago)
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branches/2017/dev_merge_2017/DOC/tex_sub/chap_ASM.tex
r9393 r9407 5 5 % ================================================================ 6 6 \chapter{Apply Assimilation Increments (ASM)} 7 \label{ ASM}7 \label{chap:ASM} 8 8 9 9 Authors: D. Lea, M. Martin, K. Mogensen, A. Weaver, ... % do we keep … … 26 26 27 27 \section{Direct initialization} 28 \label{ ASM_DI}28 \label{sec:ASM_DI} 29 29 30 30 Direct initialization (DI) refers to the instantaneous correction … … 33 33 34 34 \section{Incremental analysis updates} 35 \label{ ASM_IAU}35 \label{sec:ASM_IAU} 36 36 37 37 Rather than updating the model state directly with the analysis increment, … … 83 83 \end{eqnarray} 84 84 where $\alpha^{-1} = \sum_{i=1}^{M/2} 2i$ and $M$ is assumed to be even. 85 The weights described by \ eqref{eq:F2_i} provide a85 The weights described by \autoref{eq:F2_i} provide a 86 86 smoother transition of the analysis trajectory from one assimilation cycle 87 to the next than that described by \ eqref{eq:F1_i}.87 to the next than that described by \autoref{eq:F1_i}. 88 88 89 89 %========================================================================== 90 90 % Divergence damping description %%% 91 91 \section{Divergence damping initialisation} 92 \label{ ASM_details}92 \label{sec:ASM_details} 93 93 94 94 The velocity increments may be initialized by the iterative application of … … 110 110 +\delta _j \left[ {e_{1v}\,e_{3v}\,v^{n-1}_I} \right]} \right). 111 111 \end{equation} 112 By the application of \ eqref{eq:asm_dmp} and \eqref{eq:asm_dmp} the divergence is filtered112 By the application of \autoref{eq:asm_dmp} and \autoref{eq:asm_dmp} the divergence is filtered 113 113 in each iteration, and the vorticity is left unchanged. In the presence of coastal boundaries 114 114 with zero velocity increments perpendicular to the coast the divergence is strongly damped. … … 125 125 126 126 \section{Implementation details} 127 \label{ ASM_details}127 \label{sec:ASM_details} 128 128 129 129 Here we show an example \ngn{namasm} namelist and the header of an example assimilation
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