On solving the momentum equations of dynamic sea ice models with implicit solvers and the elastic-viscous-plastic technique

Ocean Modelling

Volumn 41, Issue , 2012, Pages 42-52

  Losch, Martin ^a   Danilov, Sergey ^a  

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

Author keywords

EVP; ICE stress; Numerical sea ice modeling; Viscous plastic rheology

Indexed keywords

EVP; FINITE-ELEMENT OCEAN MODELS; FINITE-VOLUME; GENERAL CIRCULATION MODEL; GRID CELL SIZE; IMPLICIT SOLVERS; MASSACHUSETTS INSTITUTE OF TECHNOLOGY; MODEL SOLUTION; MOMENTUM EQUATION; SEA ICE MODELS; TIME STEP; UNSTRUCTURED GRID; VARIABLE RESOLUTION;

CODES (SYMBOLS); SEA ICE; VISCOSITY;

FINITE ELEMENT METHOD;

ELASTOPLASTICITY; FINITE ELEMENT METHOD; FINITE VOLUME METHOD; MOMENTUM; NUMERICAL MODEL; OCEANIC GENERAL CIRCULATION MODEL; SEA ICE; VISCOSITY;

EID: 83655191618     PISSN: 14635003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ocemod.2011.10.002     Document Type: Article

References (29)

1. Balay, S., Gropp, W.D., McInnes, L.C., Smith, B.F., 2002. PETSc Users Manual. Tech. Rep. ANL-95/11, Revision 2.1.3, Argonne National Laboratory.
2. Bouillon S., Maqueda M.Á.M., Legat V., Fichefet T. An elastic-viscous-plastic sea ice model formulated on Arakawa B and C grids. Ocean Modell. 2009, 27(3-4):174-184.
3. Danilov S., Kivmann G., Schröter J. A finite element ocean model: principles and evaluation. Ocean Modell. 2004, 6(2):125-150.
4. Dumont D., Gratton Y., Arbetter T.E. Modeling the dynamics of the North water polynya ice bridge. J. Phys. Oceanogr. 2009, 39(6):1448-1461.
5. Fieg K., Gerdes R., Fahrbach E., Beszczynska-Mller A., Schauer U. Simulation of oceanic volume transports through Fram Strait 1995-2005. Ocean Dyn. 2010, 60:491-502. http://dx.doi.org/10.1007/s10236-010-0263-9.
6. Flato G.M., Hibler W.D. Modeling pack ice as a cavitating fluid. J. Phys. Oceanogr. 1992, 22(6):626-651.
7. Girard L., Bouillon S., Jérôme W., Amitrano D., Fichefet T., Legat V. A new modelling framework for sea ice models based on elasto-brittle rheology. Ann. Glaciol. 2011, 52(57):123-132.
8. Hibler W.D. A dynamic thermodynamic sea ice model. J. Phys. Oceanogr. 1979, 9(4):815-846.
9. Hibler W.D., Hutchings J.K., Ip C.F. Sea-ice arching and multiple flow states of Arctic pack ice. Ann. Glaciol. 2006, 44:339-344.
10. Hibler, W.D., III, Ip, C.F., 1995. The effect of sea ice rheology on Arctic buoy drift. In: Dempsey, J.P., Rajapakse, Y.D.S. (Eds.), Ice Mechanics, vol. 20. AMD. Am. Soc. of Mech. Eng., New York, pp. 255-264.
11. Hundsdorfer W., Trompert R.A. Method of lines and direct discretization: a comparison for linear advection. Appl. Numer. Math. 1994, 13(6):469-490.
12. Hunke E.C. Viscous-plastic sea ice dynamics with the EVP model: linearization issues. J. Comput. Phys. 2001, 170:18-38.
13. Hunke E.C., Dukowicz J.K. An elastic-viscous-plastic model for sea ice dynamics. J. Phys. Oceanogr. 1997, 27:1849-1867.
14. Hunke E.C., Dukowicz J.K. The elastic-viscous-plastic sea ice dynamics model in general orthogonal curvilinear coordinates on a sphere - incorporation of metric terms. Mon. Weather Rev. 2002, 130(7):1847-1865.
15. Hunke E.C., Zhang Y. A comparison of sea ice dynamics models at high resolution. Mon. Weather Rev. 1999, 127:396-408.
16. Hutchings J.K., Jasak H., Laxon S.W. A strength implicit correction scheme for the viscous-plastic sea ice model. Ocean Modell. 2004, 7(1-2):111-133.
17. Kreyscher M., Harder M., Lemke P., Flato G.M. Results of the sea ice model intercomparison project: evaluation of sea ice reology schemes for use in climate simulations. J. Geophys. Res. 2000, 105(C5):11299-11320.
18. Lemieux J.-F., Tremblay B. Numerical convergence of viscous-plastic sea ice models. J. Geophys. Res. 2009, 114:C05009.
19. Lemieux J.-F., Tremblay B., Sedláček J., Tupper P., Thomas S., Huard D., Auclair J.-P. Improving the numerical convergence of viscous-plastic sea ice models with the Jacobian-free Netwon-Krylov method. J. Comput. Phys. 2010, 229:280-2852.
20. Lemieux J.-F., Tremblay B., Thomas S., Sedláček J., Mysak L.A. Using the preconditioned generalized minimum residual (GMRES) method to solve the sea-ice momentum equation. J. Geophys. Res. 2008, 113:C10004.
21. Lipscomb W.H., Hunke E.C., Maslowski W., Jakacki J. Ridging, strength and stability in high-resolution sea ice models. J. Geophys. Res. 2007, 112:C03S91.
22. 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, 7:1093-1109.
23. 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 Modell. 2010, 33(1-2):129-144.
24. MITgcm Group, 2010. MITgcm User Manual. Online documentation, MIT/EAPS, Cambridge, MA 02139, USA, http://mitgcm.org/public/r2_manual/latest/online_documents.
25. Rothrock D.A. The energetics of the plastic deformation of pack ice by ridging. J. Geophys. Res. 1975, 80(33):4514-4519.
26. 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 Modell. 2009, 27(3-4):114-129.
27. Wilchinsky A.V., Feltham D.L. Modelling the rheology of sea ice as a collection of diamond-shaped floes. J. Non-Newtonian Fluid Mech. 2006, 138:22-32.
28. Wilchinsky A.V., Feltham D.L., Hopkins M.A. Effect of shear rupture on aggregate scale formation in sea ice. J. Geophys. Res. 2010, 115:C10002.
29. Zhang J., Hibler W.D. On an efficient numerical method for modeling sea ice dynamics. J. Geophys. Res. 1997, 102(C4):8691-8702.