Numerical solution of the problem of a cylindrical explosion with allowance for counterpressure
Abstract
Discussion of the results of a computer calculation of the problem of the propagation of a cylindrical shock wave in a quiescent gas for Poisson adiabatic indices of 1.4 and 5/3. The investigated problem is reduced to the solution of a mixed problem for a quasilinear system of partial differential equations for dimensionless velocity, pressure, Euler radius, and density, with a selfsimilar solution taken as the initial conditions.
 Publication:

Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki
 Pub Date:
 October 1974
 Bibcode:
 1974ZVMMF..14.1281A
 Keywords:

 Cylindrical Waves;
 Explosions;
 Numerical Analysis;
 Shock Wave Propagation;
 Algorithms;
 Asymptotic Methods;
 Computer Techniques;
 Gas Explosions;
 Nonlinear Equations;
 Partial Differential Equations;
 RungeKutta Method;
 Spherical Waves;
 Fluid Mechanics and Heat Transfer