Entropy controlled adaptive finite element simulations for compressible gas flow
type: Item
instance of: scholarly article
title: Entropy controlled adaptive finite element simulations for compressible gas flow
zbMATH Open document ID: 0853.76034
published in: Journal of Computational Physics
publication date: 1997-01-06T00:00:00Z
review text: The principal idea consists in using the entropy balance equation in its discrete form as a rationale for controling an optimal amount of artificial dissipation in finite element compressible gas simulations. The entropy control can be reinterpreted as a nonlinear stability estimate in terms of the so-called modified entropy function. The idea has been practically verified using the Taylor-Galerkin method combined with an artificial viscosity term, in context of \(h\)-adaptive linear finite elements.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76N10
zbMATH DE Number: 896672
zbMATH Keywords: entropy balance equation in discrete form
zbMATH Keywords: artificial dissipation
zbMATH Keywords: nonlinear stability estimate
zbMATH Keywords: modified entropy function
zbMATH Keywords: Taylor-Galerkin method
zbMATH Keywords: artificial viscosity
zbMATH Keywords: \(h\)-adaptive linear finite elements
author: Krzysztof Banaś
author: Leszek Demkowicz
MaRDI profile type: Publication
full work available at URL: jcph.1996.0129
OpenAlex ID: W1978466194
DOI: 10.1006/JCPH.1996.0129
description: scientific article; zbMATH DE number 896672