On the convergence of the modified elastic–viscous–plastic method for solving the sea ice momentum equation


Contact
madlen.kimmritz [ at ] awi.de

Abstract

Most dynamic sea ice models for climate type simulations are based on the viscous-plastic (VP) rheology. The resulting stiff system of partial differential equations for ice velocity is either solved implicitly at great computational cost, or explicitly with added pseudo-elasticity (elastic-viscous-plastic, EVP). A recent modification of the EVP approach seeks to improve the convergence of the EVP method by re-interpreting it as a pseudotime VP solver. The question of convergence of this modified EVP method is revisited here and it is shown that convergence is reached provided the stability requirements are satisfied and the number of pseudotime iterations is sufficiently high. Only in this limit, the VP and the modified EVP solvers converge to the same solution. Related questions of the impact of mesh resolution and incomplete convergence are also addressed.



Item Type
Article
Authors
Divisions
Primary Division
Programs
Primary Topic
Publication Status
Published
Eprint ID
38203
DOI https://www.doi.org/10.1016/j.jcp.2015.04.051

Cite as
Kimmritz, M. , Danilov, S. and Losch, M. (2015): On the convergence of the modified elastic–viscous–plastic method for solving the sea ice momentum equation , Journal of Computational Physics, 296 , pp. 90-100 . doi: https://www.doi.org/10.1016/j.jcp.2015.04.051


Share


Citation

Geographical region
N/A

Research Platforms
N/A

Campaigns
N/A


Actions
Edit Item Edit Item