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

Journal of Computational Physics

Volumn 296, Issue , 2015, Pages 90-100

  Kimmritz, Madlen ^a   Danilov, Sergey ^a,b   Losch, Martin ^a  

^a ALFRED WEGENER INSTITUTE FOR POLAR AND MARINE RESEARCH   (Germany)

^b OBUKHOV INSTITUTE OF ATMOSPHERIC PHYSICS   (Russian Federation)

Author keywords

Elastic viscous plastic rheology; FESOM; Sea ice; Viscous plastic rheology

Indexed keywords

CLIMATE MODELS; ELASTICITY;

COMPUTATIONAL COSTS; ELASTIC-VISCOUS-PLASTIC RHEOLOGY; FESOM; ICE VELOCITY; MOMENTUM EQUATION; PLASTIC METHOD; SEA ICE MODELING; STIFF SYSTEMS; SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS; VISCOUS-PLASTIC RHEOLOGY;

SEA ICE;

EID: 84929179531     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2015.04.051     Document Type: Article

References (17)

1. Hibler W.D. A dynamic thermodynamic sea ice model. J. Phys. Oceanogr. 1979, 9:815-846. 10.1175/1520-0485(1979)009<0815:ADTSIM>2.0.CO;2.
2. Zhang J., Hibler W. On an efficient numerical method for modeling sea ice dynamics. J. Geophys. Res. 1997, 102(C4):8691-8702. 10.1029/96JC03744.
3. Lemieux J.-F., Tremblay B. Numerical convergence of viscous-plastic sea ice models. J. Geophys. Res. 2009, 114(C5). 10.1029/2008JC005017.
4. Lemieux J.-F., Tremblay B., Sedlacek J., Tupper P., Thomas S., Huard D., Auclair J.-P. Improving the numerical convergence of viscous-plastic sea ice models with the Jacobian-free Newton-Krylov method. J. Comput. Phys. 2010, 229(8):2840-2852. 10.1016/j.jcp.2009.12.011.
5. Lemieux J.-F., Knoll D., Tremblay B., Holland D., Losch M. A comparison of the Jacobian-free Newton-Krylov method and the EVP model for solving the sea ice momentum equation with a viscous-plastic formulation: a serial algorithm study. J. Comput. Phys. 2012, 231:5926-5944. 10.1016/j.jcp.2012.05.024.
6. Losch M., Fuchs A., Lemieux J.-F., Vanselow A. A parallel Jacobian-free Newton-Krylov solver for a coupled sea ice-ocean model. J. Comput. Phys. 2014, 257, Part A:901-911. 10.1016/j.jcp.2013.09.026.
7. Hunke E., Dukowicz J. An elastic-viscous-plastic model for sea ice dynamics. J. Phys. Oceanogr. 1997, 27:1849-1867. 10.1175/1520-0485(1997)027<1849:AEVPMF>2.0.CO;2.
8. Hunke E. Viscous-plastic sea ice dynamics with the EVP model: linearization issues. J. Comput. Phys. 2001, 170(1):18-38. 10.1006/jcph.2001.6710.
9. Losch M., Menemenlis D., Campin J.-M., Heimbach P., Hill C. On the formulation of sea-ice models. Part 1: effects of different solver implementations and parameterizations. Ocean Model. 2009, 33(12):129-144. 10.1016/j.ocemod.2009.12.008.
10. Losch M., Danilov S. On solving the momentum equations of dynamic sea ice models with implicit solvers and the elastic-viscous-plastic technique. Ocean Model. 2012, 41:42-52. 10.1016/j.ocemod.2011.10.002.
11. Bouillon S., Fichefet T., Legat V., Madec G. The elastic-viscous-plastic method revisited. Ocean Model. 2013, 71:2-12. 10.1016/j.ocemod.2013.05.013.
12. Danilov S., Wang Q., Timmermann R., Iakovlev N., Sidorenko D., Kimmritz M., Jung T., Schröter J. Finite-Element Sea Ice Model (FESIM), version 2. Geosci. Model Dev. Discuss. 2015, 8(2):855-896. 10.5194/gmdd-8-855-2015.
13. Wang Q., Danilov S., Sidorenko D., Timmermann R., Wekerle C., Wang X., Jung T., Schröter J. The Finite Element Sea Ice-Ocean Model (FESOM) v. 1.4: formulation of an ocean general circulation model. Geosci. Model Dev. 2014, 7(2):663-693. 10.5194/gmd-7-663-2014.
14. Hibler W.D., Ip C.F. The effect of sea ice rheology on Arctic buoy drift. Ice Mechanics, ASME AMD 1995, vol. 207:255-263.
15. Hunke E., Lipscomb W. CICE: the Los Alamos sea ice model documentation and software users manual 2008, Tech. rep., T-3 Fluid Dynamics Group, Los Alamos National Laboratory, Los Alamos, NM 87545.
16. Timmermann R., Danilov S., Schröter J., Böning C., Sidorenko D., Rollenhagen K. Ocean circulation and sea ice distribution in a finite element global sea ice-ocean model. Ocean Model. 2009, 27(3-4):114-129.
17. Löhner R., Morgan K., Peraire J., Vahdati M. Finite-element flux-corrected transport (FEM-FCT) for the Euler and Navier-Stokes equations. Int. J. Numer. Methods Fluids 1987, 7(10):1093-1109. 10.1002/fld.1650071007.