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revision 1.7 by dimitri, Fri Jan 18 02:37:22 2008 UTC revision 1.9 by mlosch, Mon Jan 21 08:06:00 2008 UTC
# Line 1  Line 1 
1    % $Header$
2    % $Name$
3  \documentclass[12pt]{article}  \documentclass[12pt]{article}
4    
5  \usepackage[]{graphicx}  \usepackage[]{graphicx}
# Line 134  The maximum ice pressure $P_{\max}$, a m Line 136  The maximum ice pressure $P_{\max}$, a m
136  both thickness $h$ and compactness (concentration) $c$:  both thickness $h$ and compactness (concentration) $c$:
137  \begin{equation}  \begin{equation}
138    P_{\max} = P^{*}c\,h\,e^{[C^{*}\cdot(1-c)]},    P_{\max} = P^{*}c\,h\,e^{[C^{*}\cdot(1-c)]},
139  \label{icestrength}  \label{eq:icestrength}
140  \end{equation}  \end{equation}
141  with the constants $P^{*}$ and $C^{*}$. The nonlinear bulk and shear  with the constants $P^{*}$ and $C^{*}$. The nonlinear bulk and shear
142  viscosities $\eta$ and $\zeta$ are functions of ice strain rate  viscosities $\eta$ and $\zeta$ are functions of ice strain rate
# Line 342  five different cases at steady state (af Line 344  five different cases at steady state (af
344  \end{description}  \end{description}
345  \ml{[We have not implemented the EVP solver on a B-grid.]}  \ml{[We have not implemented the EVP solver on a B-grid.]}
346  \begin{figure*}[htbp]  \begin{figure*}[htbp]
347  %GET  \includegraphics[width=\widefigwidth]{\fpath/all_086280}    \includegraphics[width=\widefigwidth]{\fpath/all_086280}
348    \caption{Ice concentration, effective thickness [m], and ice    \caption{Ice concentration, effective thickness [m], and ice
349      velocities [m/s]      velocities [m/s]
350      for 5 different numerical solutions.}      for 5 different numerical solutions.}
# Line 412  contraint limits ice strength and viscos Line 414  contraint limits ice strength and viscos
414  time scale, resolution and EVP-time step, effectively allowing the  time scale, resolution and EVP-time step, effectively allowing the
415  elastic waves to damp out more quickly \citep{hunke01}.  elastic waves to damp out more quickly \citep{hunke01}.
416  \begin{figure*}[htbp]  \begin{figure*}[htbp]
417  %GET  \includegraphics[width=\widefigwidth]{\fpath/hun12days}    \includegraphics[width=\widefigwidth]{\fpath/hun12days}
418    \caption{Ice flow, divergence and bulk viscosities of three    \caption{Ice flow, divergence and bulk viscosities of three
419      experiments with \citet{hunke01}'s test case: C-LSRns (top),      experiments with \citet{hunke01}'s test case: C-LSRns (top),
420      C-EVPns (middle), and C-EVPns with damping described in      C-EVPns (middle), and C-EVPns with damping described in
# Line 435  These reduced viscosities lead to small Line 437  These reduced viscosities lead to small
437  which in turn can have a strong effect on solutions in the limit of  which in turn can have a strong effect on solutions in the limit of
438  nearly rigid regimes (arching and blocking, not shown).  nearly rigid regimes (arching and blocking, not shown).
439    
440    \ml{[Say something about performance? This is tricky, as the
441      perfomance depends strongly on the configuration. A run with slowly
442      changing forcing is favorable for LSR, because then only very few
443      iterations are required for convergences while EVP uses its fixed
444      number of internal timesteps. If the forcing in changing fast, LSR
445      needs far more iterations while EVP still uses the fixed number of
446      internal timesteps. I have produces runs where for slow forcing LSR
447      is much faster than EVP and for fast forcing, LSR is much slower
448      than EVP. EVP is certainly more efficient in terms of vectorization
449      and MFLOPS on our SX8, but is that a criterion?]}
450    
451  \subsection{C-grid}  \subsection{C-grid}
452  \begin{itemize}  \begin{itemize}
453  \item no-slip vs. free-slip for both lsr and evp;  \item no-slip vs. free-slip for both lsr and evp;
# Line 795  We thank Jinlun Zhang for providing the Line 808  We thank Jinlun Zhang for providing the
808  helpful discussions. ML thanks Elizabeth Hunke for multiple explanations.  helpful discussions. ML thanks Elizabeth Hunke for multiple explanations.
809    
810  \bibliography{bib/journal_abrvs,bib/seaice,bib/genocean,bib/maths,bib/mitgcmuv,bib/fram}  \bibliography{bib/journal_abrvs,bib/seaice,bib/genocean,bib/maths,bib/mitgcmuv,bib/fram}
 %\bibliography{journal_abrvs,seaice,genocean,maths,mixing,mitgcmuv,bib/fram}  
811    
812  \end{document}  \end{document}
813    
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