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Coupled Models and Parallel Simulations for Three-Dimensional Full-Stokes Ice Sheet Modeling

Published online by Cambridge University Press:  28 May 2015

Huai Zhang ,
Lili Ju ,
Max Gunzburger ,
Todd Ringler  and
Stephen Price
Huai Zhang*
Affiliation:
Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA Laboratory of Computational Geodynamics, Graduate University of Chinese Academy of Sciences, Beijing, 100049, China
Lili Ju*
Affiliation:
Department of Mathematics, University of South Carolina, Columbia, SC 29208, USA
Max Gunzburger*
Affiliation:
Department of Scientific Computing, Florida State University, Tallahassee, FL 32306, USA
Todd Ringler*
Affiliation:
Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
Stephen Price*
Affiliation:
Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
*
Corresponding author.Email address:hzhang@gucas.ac.cn
Corresponding author.Email address:ju@math.sc.edu
Corresponding author.Email address:mgunzburger@fsu.edu
Corresponding author.Email address:ringler@lanl.gov
Corresponding author.Email address:sprice@lanl.gov
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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

65M6065M5565Y0565Z0568U2068W10Ice sheet modelingnonlinear Stokes equationfinite element methodparallel implementationcentroial Voronoi Delaunay meshes
Type
Research Article
Information
Numerical Mathematics: Theory, Methods and Applications , Volume 4 , Issue 3 , August 2011 , pp. 396 - 418
Copyright
Copyright © Global Science Press Limited 2011

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