Iterative implementation of an implicit-explicit hybrid scheme for hydrodynamics
type: Item
instance of: scholarly article
title: Iterative implementation of an implicit-explicit hybrid scheme for hydrodynamics
zbMATH Open document ID: 0849.76045
author: Wenlong Dai
author: Paul Woodward
published in: Journal of Computational Physics
publication date: 1996-07-02T00:00:00Z
review text: Iterative implementation of an implicit-explicit hybrid scheme for solving the Euler equations is described. The scheme is of the Godunov-type in both explicit and implicit regimes, is conservative, and is accurate to the second order in both space and time for all Courant numbers. Only a single level of iterations is involved in the implementation, which solves both the implicit relations arising from upstream centered differences for all wave families and the nonlinearity of the Euler equations. The number of iterations required to reach a convergent solution may be significantly reduced by the introduction of the multicolors proposed in this paper.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76N10
zbMATH DE Number: 881882
zbMATH Keywords: linear and nonlinear wave equations
zbMATH Keywords: upstream centered differences
zbMATH Keywords: Euler equations
zbMATH Keywords: multicolors
MaRDI profile type: Publication
full work available at URL: jcph.1996.0054
OpenAlex ID: W2017856098
DOI: 10.1006/JCPH.1996.0054
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description: scientific article; zbMATH DE number 881882