Analysis of selfsimilar problems of imploding shock waves by the method of characteristics
Abstract
The asymptotic selfsimilar form of cylindrically or spherically imploding shock waves is extracted by numerically solving nonselfsimilar problems. The shock wave is generated by a contracting piston with finite initial velocity. For the initial shock motion, a perturbation method is used to determine the starting condition for the numerical calculation. Propagation of the shock wave and flow field properties are obtained and the transition of the nonselfsimilar motion of the shock wave into the selfsimilar one is presented. Good agreement between selfsimilar exponents determined from the variation of the shock strength and those calculated by Guderley is obtained.
 Publication:

Physics of Fluids
 Pub Date:
 May 1983
 DOI:
 10.1063/1.864273
 Bibcode:
 1983PhFl...26.1234N
 Keywords:

 Computational Fluid Dynamics;
 Gas Flow;
 Implosions;
 Method Of Characteristics;
 Piston Theory;
 Shock Wave Propagation;
 Asymptotic Methods;
 Flow Distribution;
 Ideal Gas;
 One Dimensional Flow;
 Perturbation Theory;
 Similarity Theorem;
 Unsteady Flow;
 Fluid Mechanics and Heat Transfer