Test problems of gas suspension dynamics using asymptotically exact solutions

Asymptotically exact solutions of Riemann problems are constructed under the assumption of small scales of dynamic and thermal relaxations of a gas-dispersed mixture. Depending on the parameters of a gas suspension states on different sides of the initial arbitrary discontinuities, configurations with two shock waves, a rarefaction wave and a shock wave, as well as two rarefaction waves are formed. For these benchmarks, the computational properties of the balanced algorithm of a hybrid large-particle method, suitable for solving stiff problems, have been tested. The features of nonequilibrium wave flows of a gas suspension are studied, as well as the convergence of numerical solutions to asymptotically exact solutions with decreasing particle sizes of a gas suspension.