Solution of flow in complex geometries by the pseudospectral element method
type: Item
instance of: scholarly article
title: Solution of flow in complex geometries by the pseudospectral element method
zbMATH Open document ID: 0822.76073
author: Hwar-Ching Ku
published in: Journal of Computational Physics
publication date: 1995-05-28T00:00:00Z
review text: A multigrid domain decomposition approach with the Schwarz alternating procedure has been developed for the solution of flow in complex geometries. The discretization is performed by the pseudospectral element method in primitive variable form. The complex geometry is approximated by isoparametric elements where each block is transformed onto a simple square (or cube). Schwarz alternating procedure is used to exchange data among the blocks. Multigrid solvers are employed, and the pressure equation is efficiently solved by the two-level preconditioned minimal residual method in terms of eigenfunction expansion technique. The presented method is applied to two-dimensional flow over a cylinder in a channel and three-dimensional bifurcation flow.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 758597
zbMATH Keywords: primitive variables
zbMATH Keywords: two-dimensional flow over cylinder in channel
zbMATH Keywords: multigrid domain decomposition
zbMATH Keywords: Schwarz alternating procedure
zbMATH Keywords: isoparametric elements
zbMATH Keywords: two-level preconditioned minimal residual method
zbMATH Keywords: eigenfunction expansion
zbMATH Keywords: three-dimensional bifurcation flow
reviewed by: Wilhelm Heinrichs
MaRDI profile type: Publication
full work available at URL: jcph.1995.1060
OpenAlex ID: W2031329739
DOI: 10.1006/JCPH.1995.1060
description: scientific article; zbMATH DE number 758597