A parallel high-order accurate finite element nonlinear Stokes ice sheet model and benchmark experiments: A PARALLEL FEM STOKES ICE SHEET MODEL

• Published in: Journal of Geophysical Research: Earth Surface
• Main Authors: Leng, Wei, Ju, Lili, Gunzburger, Max, Price, Stephen, Ringler, Todd
• Language: unknown
• Published: 2017
• Subjects: 58 GEOSCIENCES; 97 MATHEMATICS AND COMPUTING; Ice Sheet
• Online Access: http://www.osti.gov/servlets/purl/1090851; https://www.osti.gov/biblio/1090851; https://doi.org/10.1029/2011JF001962

The numerical modeling of glacier and ice sheet evolution is a subject of growing interest, in part because of the potential for models to inform estimates of global sea level change. This paper focuses on the development of a numerical model that determines the velocity and pressure fields within an ice sheet. Our numerical model features a high-fidelity mathematical model involving the nonlinear Stokes system and combinations of no-sliding and sliding basal boundary conditions, high-order accurate finite element discretizations based on variable resolution grids, and highly scalable parallel solution strategies, all of which contribute to a numerical model that can achieve accurate velocity and pressure approximations in a highly efficient manner. We demonstrate the accuracy and efficiency of our model by analytical solution tests, established ice sheet benchmark experiments, and comparisons with other well-established ice sheet models.