A mixed pseudospectral/finite difference method for the axisymmetric flow in a heated, rotating spherical shell
type: Item
instance of: scholarly article
title: A mixed pseudospectral/finite difference method for the axisymmetric flow in a heated, rotating spherical shell
zbMATH Open document ID: 0581.76034
DOI: 10.1016/0021-9991(86)90129-4
published in: Journal of Computational Physics
publication date: 1986-01-01T00:00:00Z
review text: A numerical solution technique for the axisymmetric flow in a differentially heated, rotating spherical annulus is developed. This method, based on the incompressible Navier-Stokes equations, simulates the atmospheric general circulation experiment (AGCE) proposed for a future Shuttle mission. In the method a pseudospectral technique is used in the latitudinal direction, and a second-order accurate finite difference scheme discretizes time and radial derivatives. This pseudospectral/finite difference (PS/FD) method is applied to a hierarchy of cases of varying difficulty. The difficult cases are characterized by thinner Ekman layers resulting from higher rotation rates, larger difference in boundary temperatures, and stronger body forces. Comparison of the results establishes the higher accuracy and efficiency of the PS/FD method over the pure second-order accurate finite difference (FD) method. This paper discusses the development and performance of a mixed PS/FD model for the AGCE which has been modelled in the past only by pure FD formulations.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3930567
zbMATH Keywords: mixed pseudospectral/finite difference method
zbMATH Keywords: Boussinesq approximation
zbMATH Keywords: axisymmetric flow
zbMATH Keywords: differentially heated, rotating spherical annulus
zbMATH Keywords: pseudospectral technique
zbMATH Keywords: second-order accurate finite difference scheme
zbMATH Keywords: Ekman layers
author: Michele G. Macaraeg
MaRDI profile type: Publication
full work available at URL: 0021-9991(86)90129-4
OpenAlex ID: W2020922652
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description: scientific article; zbMATH DE number 3930567