Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
type: Item
instance of: scholarly article
title: Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
zbMATH Open document ID: 0674.65061
DOI: 10.1016/0021-9991(89)90222-2
author: Chi-Wang Shu
author: Stanley Osher
published in: Journal of Computational Physics
publication date: 1989-01-01T00:00:00Z
review text: This paper presents simplifications and improvements to the essentially nonoscillatory schemes for conservation laws developed in an earlier work by the same authors [ibid. 77, 439-471 (1988; Zbl 0653.65072)]. The method is applicable to systems of equations in several spatial dimensions. The simplifications involve the use of numerical fluxes instead of cell averages in the approximation of spatial derivatives. Better shock capturing methods are developed. Improved methods for sharpening contact discontinuities are also incorporated. The results of many computations are presented, and they are impressive.
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 4104302
zbMATH Keywords: efficient implementation
zbMATH Keywords: Runge-Kutta time discretizations
zbMATH Keywords: shocks
zbMATH Keywords: contact discontinuities
zbMATH Keywords: nonoscillatory schemes
zbMATH Keywords: conservation laws
zbMATH Keywords: systems
zbMATH Keywords: shock capturing methods
Wikidata QID: Q98839662
reviewed by: Gerald W. Hedstrom
MaRDI profile type: Publication
full work available at URL: 0021-9991(89)90222-2
OpenAlex ID: W1973481688
cites work: Monotone Difference Approximations for Scalar Conservation Laws
cites work: Q3030164
cites work: Uniformly High-Order Accurate Nonoscillatory Schemes. I
cites work: Uniformly high order accurate essentially non-oscillatory schemes. III
cites work: Some results on uniformly high-order accurate essentially nonoscillatory schemes
cites work: Interaction of Linear Waves with Oblique Shock Waves
cites work: Convergence of Generalized MUSCL Schemes
cites work: High Resolution Schemes and the Entropy Condition
cites work: Approximate Riemann solvers, parameter vectors, and difference schemes
cites work: Efficient implementation of essentially nonoscillatory shock-capturing schemes
cites work: The Riemann Problem in Two Space Dimensions for a Single Conservation Law
cites work: The numerical simulation of two-dimensional fluid flow with strong shocks
cites work: Numerical Computations of Turbulence Amplification in Shock-Wave Interactions
description: scientific article; zbMATH DE number 4104302