/[MITgcm]/manual/s_algorithm/text/nonlin_frsurf.tex
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revision 1.9 by jmc, Sun Oct 17 04:14:21 2004 UTC revision 1.11 by jmc, Tue Aug 9 18:21:53 2005 UTC
# Line 11  that concern the free surface formulatio Line 11  that concern the free surface formulatio
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13  \subsubsection{pressure/geo-potential and free surface}  \subsubsection{pressure/geo-potential and free surface}
14    \label{sect:phi-freesurface}
15    
16  For the atmosphere, since $\phi = \phi_{topo} - \int^p_{p_s} \alpha dp$,  For the atmosphere, since $\phi = \phi_{topo} - \int^p_{p_s} \alpha dp$,
17  subtracting the reference state defined in section  subtracting the reference state defined in section
# Line 418  The time variation ot the total column t Line 419  The time variation ot the total column t
419  part of the r* coordinate motion, as in a $\sigma_{z},\sigma_{p}$  part of the r* coordinate motion, as in a $\sigma_{z},\sigma_{p}$
420  model, but the fixed part related to topography is treated  model, but the fixed part related to topography is treated
421  as in a height or pressure coordinate model.  as in a height or pressure coordinate model.
422  A complete description is given in \cite{adcroft:04}.  A complete description is given in \cite{adcroft:04a}.
423    
424  The time-stepping implementation of the $r^*$ coordinate is  The time-stepping implementation of the $r^*$ coordinate is
425  identical to the non-linear free-surface in $r$ coordinate,  identical to the non-linear free-surface in $r$ coordinate,
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