Two analytical solutions for the reflection of unsteady shock wave and relevant numerical tests
Abstract
Two analytical solutions of the planar problem of the unsteady normal reflection of a plane strong explosion wave from a rigid wall are presented, the full unsteady nonlinear Euler's equation of gasdynamics being satisfied exactly. The solutions are matched along the reflected shock of varying intensity with the solution of Sedov (1946). The position of the shock is determined using RankineHugoniot conditions with very high accuracy. It is pointed out that the analytical solutions are neither homoentropic nor selfsimilar and that the reflected shock is of considerable intensity.
 Publication:

Numerical Methods in Fluid Dynamics
 Pub Date:
 1981
 Bibcode:
 1981LNP...141..218H
 Keywords:

 Computational Fluid Dynamics;
 Detonation Waves;
 Euler Equations Of Motion;
 RankineHugoniot Relation;
 Shock Wave Propagation;
 Wave Reflection;
 Computerized Simulation;
 Error Analysis;
 Iterative Solution;
 Mathematical Models;
 Numerical Analysis;
 Surface Reactions;
 Unsteady Flow;
 Velocity Errors;
 Fluid Mechanics and Heat Transfer