Mathematical Modeling and Numerical Simulation of Earth's Mantle Convection

摘要

Rheology and geometry are two important factors in the Earth's mantle convection phenomenon. That is, the viscosity is strongly dependent on the temperature and the phenomenon occurs in a spherical shell domain. Focusing our attention on these two factors, we describe a total approach of numerical simulation of the Earth's mantle convection, i.e., mathematical modeling, mathematical analysis, computational scheme, error analysis, and numerical result.