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


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Abstract

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.

About the authors

A. N. Bogolyubov

Department of Physics

Author for correspondence.
Email: bogdan7@yandex.ru
Russian Federation, Moscow, 119991

A. N. Groushinsky

Schmidt Institute of Physics of the Earth

Email: bogdan7@yandex.ru
Russian Federation, Moscow, 123242

M. I. Svetkin

Department of Physics

Email: bogdan7@yandex.ru
Russian Federation, Moscow, 119991

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