Coupled models and parallel simulations for three-dimensional full-Stokes ice sheet modeling

• Published in: Numerical Mathematics: Theory, Methods and Applications
• Main Authors: Zhang, Huai, Ju, Lili, Gunzburger, Max, Ringler, Todd, Price, Stephen
• Other Authors: United States. Department of Energy., United States. Department of Energy. Office of Biological and Environmental Research.
• Format: Article in Journal/Newspaper
• Language: English
• Published: University of South Carolina 2011
• Subjects: Ice Sheet Modeling; Nonlinear Stokes Equation; Finite Element Method; Parallel Implementation; 97 Mathematics And Computing Ice Sheet Modeling; 58 Geosciences; Greenland; Ice Sheet
• Online Access: https://doi.org/10.4208/nmtma.2011.m1031; https://digital.library.unt.edu/ark:/67531/metadc842422/

A three-dimensional full-Stokes computational model is considered for determining the dynamics, temperature, and thickness of ice sheets. The governing thermomechanical equations consist of the three-dimensional full-Stokes system with nonlinear rheology for the momentum, an advective-diffusion energy equation for temperature evolution, and a mass conservation equation for icethickness changes. Here, we discuss the variable resolution meshes, the finite element discretizations, and the parallel algorithms employed by the model components. The solvers are integrated through a well-designed coupler for the exchange of parametric data between components. The discretization utilizes high-quality, variable-resolution centroidal Voronoi Delaunay triangulation meshing and existing parallel solvers. We demonstrate the gridding technology, discretization schemes, and the efficiency and scalability of the parallel solvers through computational experiments using both simplified geometries arising from benchmark test problems and a realistic Greenland ice sheet geometry.