Eigenvalue calculation procedure for an Euler/Navier-Stokes solver with application to flows over airfoils
type: Item
instance of: scholarly article
title: Eigenvalue calculation procedure for an Euler/Navier-Stokes solver with application to flows over airfoils
zbMATH Open document ID: 0738.76052
DOI: 10.1016/0021-9991(91)90006-7
author: Aparajit J. Mahajan
author: Donald B. Bliss
author: E. H. Dowell
published in: Journal of Computational Physics
publication date: 1992-06-27T00:00:00Z
review text: A Lanczos procedure is applied to a Navier-Stokes solver for computing eigenvalues and eigenvectors. These eigenvalues and eigenvectors are associated with small perturbation analysis of a finite difference representation of the Navier-Stokes equations for flows over airfoils. A combination of block tridiagonal matrices is converted into a two- dimensional matrix for this eigensystem calculation. This matrix is very large, sparse, real, and nonsymmetric. A separate procedure, based on lopsided iteration, is also used to determine the eigensystem. The results from these two procedures are compared.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76B10
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 65N25
zbMATH DE Number: 29005
zbMATH Keywords: Lanczos procedure
zbMATH Keywords: eigenvalues
zbMATH Keywords: eigenvectors
zbMATH Keywords: finite difference representation
zbMATH Keywords: airfoils
zbMATH Keywords: lopsided iteration
MaRDI profile type: Publication
full work available at URL: 0021-9991(91)90006-7
OpenAlex ID: W2045712363
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description: scientific article; zbMATH DE number 29005