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

Аннотация

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.