Quantitative theory of Richtmyer-Meshkov instability in three dimensions
type: Item
instance of: scholarly article
title: Quantitative theory of Richtmyer-Meshkov instability in three dimensions
zbMATH Open document ID: 0941.76030
author: Qiang Zhang
author: Sung-Ik Sohn
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2000-08-07T00:00:00Z
review text: A material interface between two fluids of different densities accelerated by a shock wave is unstable, which is known as Richtmyer-Meshkow instability. Previous theoretical and numerical studies of this instability primarily focused on fluids in two dimensions. In this paper, the authors study the three-dimensional case. Three main results are presented: (1) the linear analysis of Richtmyer-Meshkov instability for both reflected and reflected rarefaction waves; (2) the derivation of nonlinear perturbation solution for unstable interface between incompressible fluids; (3) a quantitative nonlinear theory of the compressible Richtmyer-Meshkov instability from early to late times.
reviewed by: Walter Wuest
Mathematics Subject Classification ID: 76E17
Mathematics Subject Classification ID: 76E30
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 76L05
zbMATH DE Number: 1271155
zbMATH Keywords: interfacial instability
zbMATH Keywords: shock wave
zbMATH Keywords: Padé approximation
zbMATH Keywords: matched asymptotics
zbMATH Keywords: Richtmyer-Meshkow instability
zbMATH Keywords: linear analysis
zbMATH Keywords: nonlinear perturbation solution
zbMATH Keywords: compressible Richtmyer-Meshkov instability
MaRDI profile type: Publication
full work available at URL: s000330050137
OpenAlex ID: W2042212180
DOI: 10.1007/S000330050137
description: scientific article; zbMATH DE number 1271155