Simulation of instability of cylindrically converging shock waves
Abstract
Motions of cylindrically converging shock waves are simulated numerically. Spatially two dimensional fluid dynamic equations, which contain the azimuthal angle theta as well as the radius r as independent variables, are solved. A cylindrical shock tube problem is examined. The shape of the converging shock wave is always stable and has a tendency to become circular. The flow behind the shock wave, however, is unstable. The instability growth rate of perturbation increases with wave length of the perturbation. The results of simulation are compared to those of experiment.
 Publication:

Simulation Technology for Shock Wave Phenomena and Characteristics of Plasma in Inertial Confinement Fusion
 Pub Date:
 March 1985
 Bibcode:
 1985stsw.work..115I
 Keywords:

 Fluid Dynamics;
 Mathematical Models;
 Shock Wave Propagation;
 Shock Waves;
 Simulation;
 High Pressure;
 High Temperature;
 Numerical Analysis;
 Perturbation;
 Shock Heating;
 Shock Tubes;
 Shock Wave Interaction;
 Fluid Mechanics and Heat Transfer