Test problems of gas suspension dynamics using asymptotically exact solutions

D. V. Sadin

Matematičeskoe modelirovanie, Tome 34 (2022) no. 12, pp. 59-74.

Résumé

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.

Détail

Keywords: dynamics of gas suspensions, phase relaxation, hybrid large-particle method.
Mots-clés : exact solutions

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