Propagation of a curved weak shock
type: Item
instance of: scholarly article
title: Propagation of a curved weak shock
zbMATH Open document ID: 0992.76050
DOI: 10.1017/S0022112001003731
author: A. Monica
author: Phoolan Prasad
published in: Journal of Fluid Mechanics
publication date: 2002-09-11T00:00:00Z
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 76M20
zbMATH DE Number: 1625634
zbMATH Keywords: curved weak shock
zbMATH Keywords: shock ray equation
zbMATH Keywords: infinite system of transport equations
zbMATH Keywords: hyperbolic system
zbMATH Keywords: ray coordinate system
zbMATH Keywords: converging shock fronts
zbMATH Keywords: total-variation-bounded finite difference scheme
zbMATH Keywords: Lax-Friedrichs flux
zbMATH Keywords: conservation laws
zbMATH Keywords: Strang splitting
zbMATH Keywords: source term
MaRDI profile type: Publication
review text: This paper deals with the propagation of a weak shock. The governing system of shock ray equation coupled to an infinite system of transport equations along these rays, is approximated by a hyperbolic system of four PDEs in a ray coordinate system. These equations are solved numerically for converging shock fronts starting from various kinds of initial geometry. A total-variation-bounded finite difference scheme based on Lax-Friedrichs flux is used to solve the conservation laws together with Strang splitting which accounts for the source term. The results are compared with existing results.
description: scientific article; zbMATH DE number 1625634