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| Titel |
Manufactured solutions and the verification of three-dimensional Stokes ice-sheet models |
| VerfasserIn |
W. Leng, L. Ju, M. Gunzburger, S. Price |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1994-0416
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| Digitales Dokument |
URL |
| Erschienen |
In: The Cryosphere ; 7, no. 1 ; Nr. 7, no. 1 (2013-01-04), S.19-29 |
| Datensatznummer |
250004442
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| Publikation (Nr.) |
 copernicus.org/tc-7-19-2013.pdf |
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| Zusammenfassung |
| 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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