/[MITgcm]/manual/s_phys_pkgs/text/seaice.tex
ViewVC logotype

Diff of /manual/s_phys_pkgs/text/seaice.tex

Parent Directory Parent Directory | Revision Log Revision Log | View Revision Graph Revision Graph | View Patch Patch

revision 1.11 by jmc, Fri Aug 27 13:15:37 2010 UTC revision 1.14 by mlosch, Mon Feb 28 16:05:07 2011 UTC
# Line 16  Patrick Heimbach, Chris Hill and Jinlun Line 16  Patrick Heimbach, Chris Hill and Jinlun
16    
17  %----------------------------------------------------------------------  %----------------------------------------------------------------------
18  \subsubsection{Introduction  \subsubsection{Introduction
19  \label{sec:pkg:exf:intro}}  \label{sec:pkg:seaice:intro}}
20    
21    
22  Package ``seaice'' provides a dynamic and thermodynamic interactive  Package ``seaice'' provides a dynamic and thermodynamic interactive
# Line 58  SEAICE requires the external forcing pac Line 58  SEAICE requires the external forcing pac
58  no additional CPP options are required.  no additional CPP options are required.
59  %  %
60  \end{itemize}  \end{itemize}
61  (see Section \ref{sect:buildingCode}).  (see Section \ref{sec:buildingCode}).
62    
63  Parts of the SEAICE code can be enabled or disabled at compile time  Parts of the SEAICE code can be enabled or disabled at compile time
64  via CPP preprocessor flags. These options are set in either  via CPP preprocessor flags. These options are set in either
65  \code{SEAICE\_OPTIONS.h} or in \code{ECCO\_CPPOPTIONS.h}.  \code{SEAICE\_OPTIONS.h} or in \code{ECCO\_CPPOPTIONS.h}.
66  Table \ref{tab:pkg:seaice:cpp} summarizes these options.  Table \ref{tab:pkg:seaice:cpp} summarizes these options.
67    
68  \begin{table}[h!]  \begin{table}[!ht]
69  \centering  \centering
70    \label{tab:pkg:seaice:cpp}    \label{tab:pkg:seaice:cpp}
71    {\footnotesize    {\footnotesize
# Line 531  widths. For the $u$-equation ($\alpha=1$ Line 531  widths. For the $u$-equation ($\alpha=1$
531    \phantom{=}& \phantom{\frac{1}{A_{i,j}^w} \biggl\{}    \phantom{=}& \phantom{\frac{1}{A_{i,j}^w} \biggl\{}
532    + (\Delta{x}_1\sigma_{21})_{i,j+1}^Z - (\Delta{x}_1\sigma_{21})_{i,j}^Z    + (\Delta{x}_1\sigma_{21})_{i,j+1}^Z - (\Delta{x}_1\sigma_{21})_{i,j}^Z
533    \biggr\}    \biggr\}
534    \intertext{with}  \end{align}
535    with
536    \begin{align}
537    (\Delta{x}_2\sigma_{11})_{i,j}^C =& \phantom{+}    (\Delta{x}_2\sigma_{11})_{i,j}^C =& \phantom{+}
538    \Delta{y}_{i,j}^{F}(\zeta + \eta)^{C}_{i,j}    \Delta{y}_{i,j}^{F}(\zeta + \eta)^{C}_{i,j}
539    \frac{u_{i+1,j}-u_{i,j}}{\Delta{x}_{i,j}^{F}} \\ \notag    \frac{u_{i+1,j}-u_{i,j}}{\Delta{x}_{i,j}^{F}} \\ \notag
# Line 573  Similarly, we have for the $v$-equation Line 575  Similarly, we have for the $v$-equation
575    \phantom{=}& \phantom{\frac{1}{A_{i,j}^s} \biggl\{}    \phantom{=}& \phantom{\frac{1}{A_{i,j}^s} \biggl\{}
576    + (\Delta{x}_1\sigma_{22})_{i,j}^C - (\Delta{x}_1\sigma_{22})_{i,j-1}^C    + (\Delta{x}_1\sigma_{22})_{i,j}^C - (\Delta{x}_1\sigma_{22})_{i,j-1}^C
577    \biggr\}    \biggr\}
578    \intertext{with}  \end{align}
579    with
580    \begin{align}
581    (\Delta{x}_1\sigma_{12})_{i,j}^Z =& \phantom{+}    (\Delta{x}_1\sigma_{12})_{i,j}^Z =& \phantom{+}
582    \Delta{y}_{i,j}^{U}\overline{\eta}^{Z}_{i,j}    \Delta{y}_{i,j}^{U}\overline{\eta}^{Z}_{i,j}
583    \frac{u_{i,j}-u_{i,j-1}}{\Delta{y}_{i,j}^{U}}    \frac{u_{i,j}-u_{i,j-1}}{\Delta{y}_{i,j}^{U}}
# Line 670  where $\Gamma_X$ are the thermodynamic s Line 674  where $\Gamma_X$ are the thermodynamic s
674  diffusive terms for quantities $X=(c\cdot{h}), c, (c\cdot{h}_{s})$.  diffusive terms for quantities $X=(c\cdot{h}), c, (c\cdot{h}_{s})$.
675  %  %
676  From the various advection scheme that are available in the MITgcm, we  From the various advection scheme that are available in the MITgcm, we
677  choose flux-limited schemes \citep[multidimensional 2nd and 3rd-order  recommend flux-limited schemes \citep[multidimensional 2nd and
678  advection scheme with flux limiter][]{roe:85, hundsdorfer94} to  3rd-order advection scheme with flux limiter][]{roe:85, hundsdorfer94}
679  preserve sharp gradients and edges that are typical of sea ice  to preserve sharp gradients and edges that are typical of sea ice
680  distributions and to rule out unphysical over- and undershoots  distributions and to rule out unphysical over- and undershoots
681  (negative thickness or concentration). These scheme conserve volume  (negative thickness or concentration). These schemes conserve volume
682  and horizontal area and are unconditionally stable, so that we can set  and horizontal area and are unconditionally stable, so that we can set
683  $D_{X}=0$. Run-timeflags: \code{SEAICEadvScheme} (default=2),  $D_{X}=0$. Run-timeflags: \code{SEAICEadvScheme} (default=2, is the
684  \code{DIFF1} (default=0.004).  historic 2nd-order, centered difference scheme), \code{DIFF1}
685    (default=0.004).
686    
687  There is considerable doubt about the reliability of a ``zero-layer''  There is considerable doubt about the reliability of a ``zero-layer''
688  thermodynamic model --- \citet{semtner84} found significant errors in  thermodynamic model --- \citet{semtner84} found significant errors in
# Line 769  Diagnostics output is available via the Line 774  Diagnostics output is available via the
774  Available output fields are summarized in  Available output fields are summarized in
775  Table \ref{tab:pkg:seaice:diagnostics}.  Table \ref{tab:pkg:seaice:diagnostics}.
776    
777  \begin{table}[h!]  \begin{table}[!ht]
778  \centering  \centering
779  \label{tab:pkg:seaice:diagnostics}  \label{tab:pkg:seaice:diagnostics}
780  {\footnotesize  {\footnotesize
# Line 834  Table \ref{tab:pkg:seaice:diagnostics}. Line 839  Table \ref{tab:pkg:seaice:diagnostics}.
839    
840  %%% Local Variables:  %%% Local Variables:
841  %%% mode: latex  %%% mode: latex
842  %%% TeX-master: "../manual"  %%% TeX-master: "../../manual"
843  %%% End:  %%% End:
Legend:
Removed from v.1.11  
changed lines
  Added in v.1.14
  ViewVC Help
Powered by ViewVC 1.1.22