2000: Modeling Arctic sea ice with an efficient plastic solution
Abstract. A computationally efficient numerical method is developed for solving sea ice momentum equations that employ a nonlinear viscous-plastic rheology. The method is based on an alternating direction implicit (ADI) technique that involves a direct solution of the momentum equations. This method...
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ftciteseerx:oai:CiteSeerX.psu:10.1.1.475.9333 2023-05-15T15:07:51+02:00 2000: Modeling Arctic sea ice with an efficient plastic solution Jinlun Zhang Drew Rothrock The Pennsylvania State University CiteSeerX Archives application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.475.9333 http://psc.apl.washington.edu/zhang/Pubs/zhang_rothrock2000.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.475.9333 http://psc.apl.washington.edu/zhang/Pubs/zhang_rothrock2000.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://psc.apl.washington.edu/zhang/Pubs/zhang_rothrock2000.pdf text ftciteseerx 2016-01-08T07:35:12Z Abstract. A computationally efficient numerical method is developed for solving sea ice momentum equations that employ a nonlinear viscous-plastic rheology. The method is based on an alternating direction implicit (ADI) technique that involves a direct solution of the momentum equations. This method is therefore more computationally efficient than those employing an iterative procedure in solving the equations. The ADI method for modeling sea ice dynamics is dynamically consistent since it rapidly approaches a viscous-plastic solution described by the sea ice rheology. With different model configurations of varying spatial resolutions and decreasing time step intervals the ADI method converges to the same viscous-plastic solution as another numerical method that uses a line successive relaxation procedure to solve the ice momentum equations. This indicates that the ADI method is also numerically consistent. The approximateness of numerical solutions of sea ice, resulting from coarse model resolutions in time, is addressed. It is found that a significant bias, up to 10 % or more, in the solution is likely to occur for a typical but coarse time step interval. This indicates that an assessment of the numerically created bias from a crude time integration may be necessary when model data comparisons are performed. In addition, suggestions are given for selecting appropriate time step intervals to enhance numerical accuracy in model applications. 1. Text Arctic Sea ice Unknown Arctic |
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Abstract. A computationally efficient numerical method is developed for solving sea ice momentum equations that employ a nonlinear viscous-plastic rheology. The method is based on an alternating direction implicit (ADI) technique that involves a direct solution of the momentum equations. This method is therefore more computationally efficient than those employing an iterative procedure in solving the equations. The ADI method for modeling sea ice dynamics is dynamically consistent since it rapidly approaches a viscous-plastic solution described by the sea ice rheology. With different model configurations of varying spatial resolutions and decreasing time step intervals the ADI method converges to the same viscous-plastic solution as another numerical method that uses a line successive relaxation procedure to solve the ice momentum equations. This indicates that the ADI method is also numerically consistent. The approximateness of numerical solutions of sea ice, resulting from coarse model resolutions in time, is addressed. It is found that a significant bias, up to 10 % or more, in the solution is likely to occur for a typical but coarse time step interval. This indicates that an assessment of the numerically created bias from a crude time integration may be necessary when model data comparisons are performed. In addition, suggestions are given for selecting appropriate time step intervals to enhance numerical accuracy in model applications. 1. |
author2 |
The Pennsylvania State University CiteSeerX Archives |
format |
Text |
author |
Jinlun Zhang Drew Rothrock |
spellingShingle |
Jinlun Zhang Drew Rothrock 2000: Modeling Arctic sea ice with an efficient plastic solution |
author_facet |
Jinlun Zhang Drew Rothrock |
author_sort |
Jinlun Zhang |
title |
2000: Modeling Arctic sea ice with an efficient plastic solution |
title_short |
2000: Modeling Arctic sea ice with an efficient plastic solution |
title_full |
2000: Modeling Arctic sea ice with an efficient plastic solution |
title_fullStr |
2000: Modeling Arctic sea ice with an efficient plastic solution |
title_full_unstemmed |
2000: Modeling Arctic sea ice with an efficient plastic solution |
title_sort |
2000: modeling arctic sea ice with an efficient plastic solution |
url |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.475.9333 http://psc.apl.washington.edu/zhang/Pubs/zhang_rothrock2000.pdf |
geographic |
Arctic |
geographic_facet |
Arctic |
genre |
Arctic Sea ice |
genre_facet |
Arctic Sea ice |
op_source |
http://psc.apl.washington.edu/zhang/Pubs/zhang_rothrock2000.pdf |
op_relation |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.475.9333 http://psc.apl.washington.edu/zhang/Pubs/zhang_rothrock2000.pdf |
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