Open AccessOn an efficient numerical method for modeling sea ice dynamics
Author(s) -
Zhang Jinlun,
Hibler W. D.
Publication year - 1997
Publication title -
journal of geophysical research: oceans
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.67
H-Index - 298
eISSN - 2156-2202
pISSN - 0148-0227
DOI - 10.1029/96jc03744
Subject(s) - curvilinear coordinates , solver , tridiagonal matrix , convergence (economics) , nonlinear system , sea ice , decoupling (probability) , mathematics , physics , geometry , meteorology , eigenvalues and eigenvectors , mathematical optimization , quantum mechanics , control engineering , engineering , economics , economic growth
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.