Numerical simulation of contact interaction of compressible fluids on Eulerian grids

A short review on numerical simulation of the problems of contact interaction between compressible media with a strong difference in their acoustic impedances, with large deformations of contact boundary and with shock waves present in them is given. The main ideas underlying a numerical algorithm developed for solving such problems on the basis of the known CIP-CUP (Constrained Interpolation Profile Combined Unified Procedure) approach using Eulerian grids without explicit separation of contact interfaces, and governing equations of compressible fluid flow in terms of nonconservative variables are described. Robustness of the developed algorithm is demonstrated by the results of computation of some test problems having analytical solutions. The capabilities of the realized technique are illustrated by its application to the problems of impact of an axially-symmetric high-speed liquid jet on a rigid wall and on a thin liquid layer on a rigid wall. The obtained results are in satisfactory agreement with the known numerical solutions computed by the method of adaptively moving meshes with an explicit separation of the interphase boundary.