Three-dimensional shock wave propagation in an ideal gas
type: Item
instance of: scholarly article
title: Three-dimensional shock wave propagation in an ideal gas
zbMATH Open document ID: 0844.76043
DOI: 10.1016/0020-7462(95)00005-9
author: V. D. Sharma
author: Ch. Radha
published in: International Journal of Non-Linear Mechanics
publication date: 1996-09-02T00:00:00Z
review text: A systematic study is made of an unsteady three-dimensional motion of a shock wave of arbitrary strength propagating through an ideal gas. The dynamic coupling between the shock front and the rearward flow is investigated by considering an infinite system of transport equations for the variations in jumps in pressure and its space derivatives across the shock. This infinite system is then truncated to get a closed system of coupled differential equations, which efficiently describes the shock motion. Disturbances propagating on the shock and the onset of shock-shocks are briefly discussed. In the limit of vanishing shock strength, the first order truncation approximation leads to an exact description of acceleration waves. Asymptotic decay laws for the weak shocks and the rearward precursor disturbances are exactly recovered. In the strong shock limit, the first order approximation leads to a propagation law for imploding shocks, which is in agreement with Guderley's exact similarity solution. Attention is drawn to the connection between the transport equations along shock rays obtained here and the corresponding results obtained from an alternative method, using the theory of generalized functions.
reviewed by: Walter Wuest
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 76N15
zbMATH DE Number: 831809
zbMATH Keywords: asymptotic decay laws
zbMATH Keywords: Guderley's similarity solution
zbMATH Keywords: infinite system of transport equations
zbMATH Keywords: first order truncation approximation
zbMATH Keywords: acceleration waves
zbMATH Keywords: weak shocks
zbMATH Keywords: strong shock limit
MaRDI profile type: Publication
full work available at URL: 0020-7462(95)00005-9
OpenAlex ID: W1967405614
description: scientific article; zbMATH DE number 831809