The ``cubed sphere'': A new method for the solution of partial differential equations in spherical geometry
type: Item
instance of: scholarly article
title: The ``cubed sphere'': A new method for the solution of partial differential equations in spherical geometry
zbMATH Open document ID: 0849.76049
author: C. Ronchi
author: Roberto Iacono
author: Pier S. Paolucci
published in: Journal of Computational Physics
publication date: 1996-07-02T00:00:00Z
review text: A new gridding technique for the solution of partial differential equations in spherical geometry is presented. The method is based on a decomposition of sphere into six identical regions, obtained by projecting the sides of a circumscribed cube onto a spherical surface. By choosing the coordinate lines on each region to be arcs of great circles, one obtains six coordinate systems which are free of any singularity and define the same metric. A variation of the composite mesh finite difference method can be applied to couple the six grids and obtain, with a high degree of efficiency, very accurate numerical solutions. We present results of two test cases for the shallow water equations in spherical geometry: the linear advection of a cosine bell, and the nonlinear evolution of a Rossby-Haurwitz wave.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76U05
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 881875
zbMATH Keywords: decomposition of sphere into six identical regions
zbMATH Keywords: linear advection of cosine bell
zbMATH Keywords: gridding technique
zbMATH Keywords: circumscribed cube
zbMATH Keywords: shallow water equations
zbMATH Keywords: Rossby-Haurwitz wave
MaRDI profile type: Publication
full work available at URL: jcph.1996.0047
OpenAlex ID: W2076247888
Wikidata QID: Q115395627
DOI: 10.1006/JCPH.1996.0047
description: scientific article; zbMATH DE number 881875