On an efficient numerical method for modeling sea ice dynamics

Abstract. A computationally efficient numerical method for the solution of nonlinear sea ice dynamics models employing viscous-plastic rheologies is presented. The method is based on a semi-implicit decoupling of the x and y ice momentum equations into a form having better convergence properties tha...

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Bibliographic Details
Main Authors: Jinlun Zhang, W. D. Hibler Iii
Other Authors: The Pennsylvania State University CiteSeerX Archives
Format: Text
Language:English
Published: 1997
Subjects:
Online Access:http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.650.3670
http://psc.apl.washington.edu/zhang/Pubs/zhang_hibler97.pdf
Description
Summary:Abstract. A computationally efficient numerical method for the solution of nonlinear sea ice dynamics models employing viscous-plastic rheologies is presented. The method is based on a semi-implicit decoupling of the x and y ice momentum equations into a form having better convergence properties than the coupled equations. While this decoupled form also speeds up solutions employing point relaxation methods, a line successive overrelaxation technique combined with a tridiagonal matrix solver procedure was found to converge particularly rapidly. The procedure is also applicable to the ice dynamics equations in orthogonal curvilinear coordinates which are given in explicit form for the special case of spherical coordinates. 1.