manufactured solutions and the verification of three-dimensional stokes ice-sheet models

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ID: 216226
2013
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Abstract
The manufactured solution technique is used for the verification of computational models in many fields. In this paper, we construct manufactured solutions for the three-dimensional, isothermal, nonlinear Stokes model for flows in glaciers and ice sheets. The solution construction procedure starts with kinematic boundary conditions and is mainly based on the solution of a first-order partial differential equation for the ice velocity that satisfies the incompressibility condition. The manufactured solutions depend on the geometry of the ice sheet, basal sliding parameters, and ice softness. Initial conditions are taken from the periodic geometry of a standard problem of the ISMIP-HOM benchmark tests. The upper surface is altered through the manufactured solution procedure to generate an analytic solution for the time-dependent flow problem. We then use this manufactured solution to verify a parallel, high-order accurate, finite element Stokes ice-sheet model. Simulation results from the computational model show good convergence to the manufactured analytic solution.
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leng2013themanufactured Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;W. Leng;L. Ju;M. Gunzburger;S. Price
Journal journal of applied polymer science
Year 2013
DOI
10.5194/tc-7-19-2013
URL
http://www.the-cryosphere.net/7/19/2013/tc-7-19-2013.pdf
Keywords
environmental sciencesgeology

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