“Yin-Yang grid”: An overset grid in spherical geometry

A Multimoment Finite-Volume Shallow-Water Model on the Yin–Yang Overset Spherical Grid

A numerical model for shallow-water equations has been built and tested on the Yin–Yang overset spherical grid. A high-order multimoment finite-volume method is used for the spatial discretization in which two kinds of so-called moments of the physical field [i.e., the volume integrated average (VIA) and the point value (PV)] are treated as the model variables and updated separately in time. In...

Optimized Schwarz methods in spherical geometry with an overset grid system

In recent years, much attention has been given to domain decomposition methods for solving linear elliptic problems that are based on a partitioning of the domain of the physical problem. More recently, a new class of Schwarz methods known as optimized Schwarz methods was introduced to improve the performance of the classical Schwarz methods. In this paper, we investigate the performance of thi...

An overset grid method coupling an orthogonal curvilinear grid solver and a Cartesian grid solver

A Multigrid Poisson Solver for Yin-Yang Grid

The sun has a multi-layered structure, consisting of the inner core, the radiative zone, and the convective zone from the center to the surface. Since it is mostly composed of hydrogen and helium gases at the state of plasma, the electric conductivity is high enough to sustain electric currents. The magnetic field is then expected to be generated due to the convective motion of the plasma in th...

Development of Numerical Methods for Geodynamo and Mantle Convection Simulations

2. Development of New Spherical Grid: Yin-Yang Grid Since the finite difference method enables us to make highly optimized programs for massively parallel computers, we exploit the possibility of the finite difference method for simulations in spherical shell geometry with radius r (ri ≤ r ≤ ro), colatitude θ (0 ≤ θ ≤ π), and longitude φ (0 ≤ φ < 2π). Because there is no grid mesh that is ortho...