Volume 4, Issue 3
Coupled Models and Parallel Simulations for Three-Dimensional Full-Stokes Ice Sheet Modeling

Huai Zhang, Lili Ju, Max Gunzburger, Todd Ringler & Stephen Price

Numer. Math. Theor. Meth. Appl., 4 (2011), pp. 396-418.

Published online: 2011-04

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  • Abstract

A three-dimensional full-Stokes computational model is considered for determining the dynamics, temperature, and thickness of ice sheets. The governing thermo-mechanical 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 Delaunay meshes.

  • AMS Subject Headings

65M60, 65M55, 65Y05, 65Z05, 68U20, 68W10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{NMTMA-4-396, author = {}, title = {Coupled Models and Parallel Simulations for Three-Dimensional Full-Stokes Ice Sheet Modeling}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2011}, volume = {4}, number = {3}, pages = {396--418}, abstract = {

A three-dimensional full-Stokes computational model is considered for determining the dynamics, temperature, and thickness of ice sheets. The governing thermo-mechanical 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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2011.m1031}, url = {http://global-sci.org/intro/article_detail/nmtma/5975.html} }
TY - JOUR T1 - Coupled Models and Parallel Simulations for Three-Dimensional Full-Stokes Ice Sheet Modeling JO - Numerical Mathematics: Theory, Methods and Applications VL - 3 SP - 396 EP - 418 PY - 2011 DA - 2011/04 SN - 4 DO - http://doi.org/10.4208/nmtma.2011.m1031 UR - https://global-sci.org/intro/article_detail/nmtma/5975.html KW - Ice sheet modeling, nonlinear Stokes equation, finite element method, parallel implementation, centroial Voronoi Delaunay meshes. AB -

A three-dimensional full-Stokes computational model is considered for determining the dynamics, temperature, and thickness of ice sheets. The governing thermo-mechanical 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.

Huai Zhang, Lili Ju, Max Gunzburger, Todd Ringler & Stephen Price. (2020). Coupled Models and Parallel Simulations for Three-Dimensional Full-Stokes Ice Sheet Modeling. Numerical Mathematics: Theory, Methods and Applications. 4 (3). 396-418. doi:10.4208/nmtma.2011.m1031
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