Some anomalies of the numerical solutions of the Euler equations
type: Item
instance of: scholarly article
title: Some anomalies of the numerical solutions of the Euler equations
zbMATH Open document ID: 0886.76052
DOI: 10.1007/BF01274243
author: A. C. B. Dimanlig
author: Mohamed Hafez
published in: Acta Mechanica
publication date: 1998-04-23T00:00:00Z
review text: The paper deals with the stability of some numerical solutions of the steady Euler equations over a circular cylinder. The authors compute the evolution of such solutions through the discretized unsteady Euler equations, by means of an implicit finite difference scheme involving artificial viscosity in the momentum and energy equations. They also put an artificial outer boundary on the circle that is 12 times bigger than the cylinder, where they impose the circulation in the flow field. Their numerical experiments show that the asymmetric solutions are stable, whereas the symmetric solution is not. In the latter case, they obtain, for a periodic far field circulation, a chaotic-like solution.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76N10
zbMATH DE Number: 1036596
zbMATH Keywords: stability of numerical solutions
zbMATH Keywords: steady solutions
zbMATH Keywords: circular cylinder
zbMATH Keywords: discretized unsteady Euler equations
zbMATH Keywords: implicit finite difference scheme
zbMATH Keywords: artificial viscosity
zbMATH Keywords: artificial outer boundary
zbMATH Keywords: asymmetric solutions
zbMATH Keywords: symmetric solution
zbMATH Keywords: periodic far field circulation
zbMATH Keywords: chaotic-like solution
MaRDI profile type: Publication
cites work: Q3213564
cites work: Determining Lyapunov exponents from a time series
full work available at URL: https://doi.org/10.1007/bf01274243
OpenAlex ID: W2041087409
description: scientific article; zbMATH DE number 1036596