Geodesic
Test problems of gas suspension dynamics using asymptotically exact solutions
Matematičeskoe modelirovanie, Tome 34 (2022) no. 12, pp. 59-74

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: dynamics of gas suspensions, phase relaxation, hybrid large-particle method.
Mots-clés : exact solutions 
@article{MM_2022_34_12_a3,
     author = {D. V. Sadin},
     title = {Test problems of gas suspension dynamics using asymptotically exact solutions},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {59--74},
     publisher = {mathdoc},
     volume = {34},
     number = {12},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2022_34_12_a3/}
}
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D. V. Sadin. Test problems of gas suspension dynamics using asymptotically exact solutions. Matematičeskoe modelirovanie, Tome 34 (2022) no. 12, pp. 59-74. http://geodesic.mathdoc.fr/item/MM_2022_34_12_a3/