A spectral element-FCT method for the compressible Euler equations
type: Item
instance of: scholarly article
title: A spectral element-FCT method for the compressible Euler equations
zbMATH Open document ID: 0811.76058
published in: Journal of Computational Physics
publication date: 1994-12-07T00:00:00Z
review text: A new algorithm based on spectral element discretizations and flux- corrected transport (FCT) concepts is developed for the solution of the Euler equations of inviscid compressible fluid flow. A conservative formulation is proposed based on one- and two-dimensional cell-averaging and reconstruction procedures, which employ a staggered mesh of Gauss- Chebyshev and Gauss-Lobatto-Chebyshev collocation points. Particular emphasis is placed on the construction of robust boundary and interfacial conditions in one and two dimensions. It is demonstrated through shock- tube problems and two-dimensional simulations that the proposed algorithm leads to stable, non-oscillatory solutions of high accuracy.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 65M70
zbMATH DE Number: 699512
zbMATH Keywords: inviscid flow
zbMATH Keywords: conservative formulation
zbMATH Keywords: staggered mesh
zbMATH Keywords: Gauss-Lobatto- Chebyshev collocation points
zbMATH Keywords: shock-tube problems
author: J. Giannakouros
author: George Em Karniadakis
MaRDI profile type: Publication
full work available at URL: jcph.1994.1179
OpenAlex ID: W2008813806
DOI: 10.1006/JCPH.1994.1179
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description: scientific article; zbMATH DE number 699512