Application of R-Functions for the Solution of the Problem of Convection in the Mantle of the Earth

In this paper, the process of convection in the Earth’s mantle in the presence of a floating continent is considered. The model is a two-dimensional rectangular region of viscous thermally conducting fluid that obeys the equations of hydrodynamics. The method of Rvachev R-functions is used for the d...

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Bibliographic Details
Published in:Moscow University physics bulletin 2017-11, Vol.72 (6), p.507-512
Main Authors: Bogolyubov, A. N., Groushinsky, A. N., Svetkin, M. I.
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Conducting fluids
Convection
Earth mantle
Fluid flow
Hydrodynamics
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
Theoretical and Mathematical Physics
Two dimensional models
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Summary:In this paper, the process of convection in the Earth’s mantle in the presence of a floating continent is considered. The model is a two-dimensional rectangular region of viscous thermally conducting fluid that obeys the equations of hydrodynamics. The method of Rvachev R-functions is used for the description of the problem geometry and the boundary conditions.
ISSN:0027-1349
1934-8460
DOI:10.3103/S0027134917060042