On some numerical dissipation schemes
type: Item
instance of: scholarly article
title: On some numerical dissipation schemes
zbMATH Open document ID: 0934.76050
author: K. Appert
published in: Journal of Computational Physics
publication date: 2000-04-25T00:00:00Z
review text: We consider several schemes for introducing an artificial dissipation into a central difference approximation to Euler and Navier-Stokes equations. The focus is on the convective upwind split pressure scheme, which is designed to support single interior point discrete shock waves. This scheme is analyzed and compared in detail with scalar dissipation and matrix dissipation schemes. Resolution capability is determined by solving subsonic, transonic, and hypersonic flow problems. A finite volume discretization and a multistage time-stepping scheme with multigrid are used to compute solutions to the flow equations. Numerical solutions are also compared with either theoretical solutions or experimental data. \(\copyright\) Academic Press.
Mathematics Subject Classification ID: 76M12
Mathematics Subject Classification ID: 76N15
zbMATH DE Number: 1282761
zbMATH Keywords: Euler equations
zbMATH Keywords: central difference approximation
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: convective upwind split pressure scheme
zbMATH Keywords: discrete shock waves
zbMATH Keywords: scalar dissipation and matrix dissipation schemes
zbMATH Keywords: multistage time-stepping scheme
zbMATH Keywords: multigrid
describes a project that uses: AUSM
MaRDI profile type: Publication
OpenAlex ID: W2029002048
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DOI: 10.1006/JCPH.1998.6100
description: scientific article; zbMATH DE number 1282761