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Test Problems of Gas Suspension Dynamics Using Asymptotically Exact Solutions

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Abstract

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 the gas suspension’s 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, are tested. The features of nonequilibrium wave flows of a gas suspension and the convergence of numerical solutions to asymptotically exact solutions with decreasing particle size of the gas suspension are studied.

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  1. Mozhaisky Military Aerospace Academy, St. Petersburg, Russia

    D. V. Sadin

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Sadin, D.V. Test Problems of Gas Suspension Dynamics Using Asymptotically Exact Solutions. Math Models Comput Simul 15, 564–573 (2023). https://doi.org/10.1134/S2070048223030158

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