A new kind of overset grid, named Yin‐Yang grid, for spherical geometry is proposed. The
Yin‐Yang grid is composed of two identical component grids that are combined in a …

Here it is documented how an existing code for modelling mantle convection in a cartesian
domain, Stag3D, has been converted to model a 3D spherical shell by using the recently …

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 …

We present a new finite volume code for modeling three-dimensional thermal convection in
a spherical shell with strong temperature-and pressure-dependent viscosity. A new …

A model of sedimentation-consolidation processes in so-called clarifier-thickener units is
given by a parabolic equation describing the evolution of the local solids concentration …

This paper presents a new method to generate a three‐dimensional spherical grid using
natural neighbor Voronoi cells distributed by spiral functions. A unique property of this grid is …

We consider the P1/P1 or P1b/P1 finite element approximations to the Stokes equations in a
bounded smooth domain subject to the slip boundary condition. A penalty method is applied …

The use of numerical models to develop insight and intuition into the dynamics of the Earth
over geological time scales is a firmly established practice in the geodynamics community …

We present a new formulation to discretize the viscous term in the momentum equation of
the Navier–Stokes set. A technique based on the finite volume method enables thermal …

General error estimates are proved for a class of finite element schemes for nonstationary
thermal convection problems with temperature-dependent coefficients. These variable …