@Article{CiCP-16-4, author = {}, title = {A Parallel Computational Model for Three-Dimensional, Thermo-Mechanical Stokes Flow Simulations of Glaciers and Ice Sheets}, journal = {Communications in Computational Physics}, year = {2014}, volume = {16}, number = {4}, pages = {1056--1080}, abstract = {
This paper focuses on the development of an efficient, three-dimensional, thermo-mechanical, nonlinear-Stokes flow computational model for ice sheet simulation. The model is based on the parallel finite element model developed in [14] which features high-order accurate finite element discretizations on variable resolution grids. Here, we add an improved iterative solution method for treating the nonlinearity of the Stokes problem, a new high-order accurate finite element solver for the temperature equation, and a new conservative finite volume solver for handling mass conservation. The result is an accurate and efficient numerical model for thermo-mechanical glacier and ice-sheet simulations. We demonstrate the improved efficiency of the Stokes solver using the ISMIP-HOM Benchmark experiments and a realistic test case for the Greenland ice-sheet. We also apply our model to the EISMINT-II benchmark experiments and demonstrate stable thermo-mechanical ice sheet evolution on both structured and unstructured meshes. Notably, we find no evidence for the "cold spoke" instabilities observed for these same experiments when using finite difference, shallow-ice approximation models on structured grids.
}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.310813.010414a}, url = {https://global-sci.com/article/80468/a-parallel-computational-model-for-three-dimensional-thermo-mechanical-stokes-flow-simulations-of-glaciers-and-ice-sheets} }