Practical analytical solutions for benchmarking of 2-D and 3-D geodynamic Stokes problems with variable viscosity
| Autor: | I. Yu. Popov, I. S. Lobanov, S. I. Popov, A. I. Popov, T. V. Gerya |
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| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Solid Earth, Vol 5, Iss 1, Pp 461-476 (2014) |
| Druh dokumentu: | article |
| ISSN: | 1869-9510 1869-9529 |
| DOI: | 10.5194/se-5-461-2014 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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