A numerical study of a converging cylindrical shock-Reference-Cited by-同舟云学术

A numerical study of a converging cylindrical shock

Published:1977-12-21 Issue:4 Volume:83 Page:785-794
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Sod Gary A.

Abstract

A numerical proceure is introduced to solve the one-dimensional equations of gasdynamics for a cylindrically or spherically symmetric flow. The method consists of a judicious combination of Glimm's method and operator splitting. The method is applied to the problem of a converging cylindrical shock.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference10 articles.

1. Glimm, J. 1965 Solutions in the large for nonlinear hyperbolic systems of equations.Comm. Pure Appl. Math. 18,697.

2. Lapidus, A. 1971 Computation of radially symmetric shocked flows.J. Comp. Phys. 8,106.

3. Payne, R. B. 1956 A numerical method for a converging cylindrical shock.J. Fluid Mech. 2,185.

4. Courant, R. & Friedrichs, K. O. 1948 Supersonic Flow and Shock Waves .Interscience.

5. Chorin, A. J. 1976 Random choice solution of hyperbolic systems.J. Comp. Phys. 22,517.

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