Construction of high-order accurate shock-capturing finite difference schemes for unsteady shock waves
type: Item
instance of: scholarly article
title: Construction of high-order accurate shock-capturing finite difference schemes for unsteady shock waves
zbMATH Open document ID: 1001.76069
author: V. V. Ostapenko
published in: Computational Mathematics and Mathematical Physics
publication date: 2002-12-08T00:00:00Z
review text: From author's summary: We show that an improved approximation of Hugoniot relations across unsteady shock front requires a shock-capturing finite difference scheme with higher-order accuracy, and, by applying a stabilization method, we obtain sufficient conditions to construct a weak approximation by using this scheme.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76L05
zbMATH DE Number: 1779347
zbMATH Keywords: Hugoniot relations
zbMATH Keywords: shock-capturing finite difference scheme
zbMATH Keywords: higher-order accuracy
zbMATH Keywords: hyperbolic system
zbMATH Keywords: conservation law
zbMATH Keywords: unsteady shock front
zbMATH Keywords: stabilization method
zbMATH Keywords: weak approximation
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1779347