The random choice method applied to two-dimensional shock focusing and diffraction
type: Item
instance of: scholarly article
title: The random choice method applied to two-dimensional shock focusing and diffraction
zbMATH Open document ID: 0606.76092
DOI: 10.1016/0021-9991(86)90085-9
author: B. George
published in: Journal of Computational Physics
publication date: 1986-01-01T00:00:00Z
review text: After a brief introduction to the random choice method (RCM) of one space dimension and a short discussion of some of its essential features an application to two space dimensions is made, based on an operator splitting technique proposed by \textit{A. J. Chorin} [e.g. ibid. 22, 517- 533 (1976; Zbl 0354.65047)]. To show the influence of the random number generators, results are presented using both a generator proposed by Chorin and that of van der Corput. As a numerical test problem, the shock focusing by a concave reflector is calculated. The numerical results are compared with experimental ones. For the first time the agreement between the numerical and experimental results is quite good using the RCM in two space dimensions. Furthermore the application of the RCM to shock diffraction at a 90\(\circ\) corner is shown. These results are also compared with experimental ones.
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 65C05
zbMATH DE Number: 3980791
zbMATH Keywords: random choice method
zbMATH Keywords: operator splitting technique
zbMATH Keywords: shock focusing
MaRDI profile type: Publication
full work available at URL: 0021-9991(86)90085-9
OpenAlex ID: W2013434697
cites work: Random choice solution of hyperbolic systems
cites work: Random choice methods with applications to reacting gas flow
cites work: Glimm’s Method for Gas Dynamics
cites work: Solutions in the large for nonlinear hyperbolic systems of equations
description: scientific article; zbMATH DE number 3980791