Instabilities of stationary inviscid compressible flow around an airfoil
type: Item
instance of: scholarly article
title: Instabilities of stationary inviscid compressible flow around an airfoil
zbMATH Open document ID: 0912.76047
author: J. G. M. Kuerten
author: René van Buuren
author: Bernard Geurts
published in: Journal of Computational Physics
publication date: 1999-05-05T00:00:00Z
full work available at URL: instabilities-of-stationary-inviscid-flow-around-an-airfoil(717fcd6c-0e2b-4d72-86c8-9496c4f57c32).html
review text: The authors study the convergence behaviour of numerical solutions of the Euler equations for two-dimensional steady compressible flow around an airfoil section. Among other results, it is shown that machine-accurate solutions can be obtained with implicit time stepping by using the minmod limiter. In various test calculations the authors find that fast convergence to machine accuracy can be obtained by beginning the computation with a high CFL number, for which a threshold exists, and then by reducing it to smaller values. Additionally, in test computations with different limiter discretization schemes and grid sizes the authors show that the difference between the final residual levels obtained in the calculations is not caused by the minmod limiter but must be attributed to an instability of the flow itself. This result is confirmed with an analysis of the solution in the frame of linear stability theory. It could also be shown that the instability found in the mean flow is weak in its nature, so that the integral quantities as lift and drag are not affected within the engineering accuracy. On the whole, this is an interesting study of the aerodynamic stability problem with numerical tools.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76E05
Mathematics Subject Classification ID: 76N10
zbMATH DE Number: 1138378
zbMATH Keywords: convergence
zbMATH Keywords: Euler equations
zbMATH Keywords: implicit time stepping
zbMATH Keywords: minmod limiter
zbMATH Keywords: CFL number
zbMATH Keywords: linear stability theory
MaRDI profile type: Publication
OpenAlex ID: W2042307037
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DOI: 10.1006/JCPH.1997.5830
description: scientific article; zbMATH DE number 1138378