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Coupled Models and Parallel Simulations for Three-Dimensional Full-Stokes Ice Sheet Modeling |
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| Authors: | Huai Zhang Lili Ju Max Gunzburger Todd Ringler Stephen Price |
| Institution: | 1. Department of Mathematics, University of South Carolina, Columbia, SC29208,USA;Laboratory of Computational Geodynamics, Graduate University of Chinese Academy of Sciences, Beijing, 100049, China 2. Department of Mathematics, University of South Carolina, Columbia, SC29208,USA 3. Department of Scientific Computing, Florida State University, Tallahassee, FL 32306, USA 4. Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545,USA |
| Abstract: | A three-dimensional full-Stokes computational model is considered for determining the dynamics,temperature,and thickness of ice sheets.The goveming 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 ice-thickness 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. |
| Keywords: | Ice sheet modeling nonlinear Stokes equation finite element method parallel implementation centroial Voronoi Delaunav meshes |
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