Application of the Yin-Yang grid to a thermal convection of a Boussinesq fluid with infinite Prandtl number in a three-dimensional spherical shell

Abstract

A new numerical finite difference code has been developed to solve a thermal convection of a Boussinesq fluid with infinite Prandtl number in a three-dimensional spherical shell. A kind of the overset (Chimera) grid named ``Yin-Yang grid'' is used for the spatial discretization. The grid naturally avoids the pole problems which are inevitable in the latitude-longitude grids. The code is applied to numerical simulations of mantle convection with uniform and variable viscosity. The validity of the Yin-Yang grid for the mantle convection simulation is confirmed.

Cited by in corpus (3)

• The "Yin-Yang Grid": An Overset Grid in Spherical Geometry
• Low-degree mantle convection with strongly temperature- and depth-dependent viscosity in a three-dimensional spherical shell
• Geodynamo and mantle convection simulations on the Earth Simulator using the Yin-Yang grid