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| Titel |
Practical analytical solutions for benchmarking of 2-D and 3-D geodynamic Stokes problems with variable viscosity |
| VerfasserIn |
I. Yu. Popov, I. S. Lobanov, S. I. Popov, A. I. Popov, T. V. Gerya |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1869-9510
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| Digitales Dokument |
URL |
| Erschienen |
In: Solid Earth ; 5, no. 1 ; Nr. 5, no. 1 (2014-06-10), S.461-476 |
| Datensatznummer |
250115279
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| Publikation (Nr.) |
 copernicus.org/se-5-461-2014.pdf |
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| Zusammenfassung |
| Geodynamic modeling is often related with challenging computations
involving solution of the Stokes and continuity equations under
the condition of highly variable viscosity. Based on a new analytical
approach we have developed particular analytical solutions for 2-D and
3-D incompressible Stokes flows with both linearly and exponentially
variable viscosity. We demonstrate how these particular solutions
can be converted into 2-D and 3-D test problems suitable for
benchmarking numerical codes aimed at modeling various mantle
convection and lithospheric dynamics problems. The Main advantage of
this new generalized approach is that a large variety of benchmark
solutions can be generated, including relatively complex cases with
open model boundaries, non-vertical gravity and variable gradients
of the viscosity and density fields, which are not parallel to the Cartesian
axes. Examples of respective 2-D and 3-D MatLab codes are provided
with this paper. |
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