On stiff systems of partial differential equations for motion of heterogeneous media

The approach of a construction of the increased stability discrete models is offered. It is based on the concept of a stiffness of motion equations of a heterogeneous medium, nonequilibrial for velocities and temperatures differences of phases under transition between phases. The test calculations of the dispersed gas-liquid jet in a high-enthalpy gas cross-flow have confirmed effectiveness of the offered approach. For the test problem the raise on an order of the margins of stability is reached. Thus the margins of stability are determined only by criterion of the Courant and do not depend on intensity of phase interactions.