Irregular interaction of weak shock waves of different intensities: PMM vol. 38, n≗ 1, 1974, pp. 105–114

Abstract

The problem of irregular interaction of weak shock waves, which occurs in the analysis of interpenetration of two waves of different intensities at small interaction angle [1, 2], is considered. It is not possible to solve this problem in linear configuration when the region adjacent to the Mach wave front shrinks to a point, which results in it becoming a nonlinear problem. Behavior of the solution throughout the interaction region is analyzed by the method of matching asymptotic expansions [3, 4]. The external problem is solved in linear formulation. A boundary value problem for the system of nonlinear equations of short waves [5], which takes into account the linking of its solution with the linear external problem and with solutions in the neighborhood of reflected fronts at the inner region boundary, is formulated for the inner region in the neighborhood of the Mach wave front. The effect of the initial state parameters on the pattern of flow is investigated and an approximate solution of the problem is derived.