SOME ASPECTS OF NUMERICAL MODELING OF SHOCK-WAVE PROCESSES IN A TWO-PHASE GAS-DISPERSED MIXTURE

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Issues concerning the construction of mathematical models and numerical methods of solving dynamic problems for a two-phase medium consisting of a gas and fine inclusions (particles) are discussed. The particles are assumed to be rigid, incompressible, and nondeformable. As a mathematical model, we use the Rakhmatulin–Nigmatulin nonequilibrium continuum model, which is proved to coincide with the Baer–Nunziato model with nonlocal relaxation. Based on splitting into physical processes, a discrete model is proposed that is reduced at each time step to two strictly hyperbolic conservative subsystems of equations. These subsystems are solved numerically by applying Godunov-type difference schemes based on HLL- and HLLC-type Riemann solvers. The proposed numerical method is verified by computing particle layer transfer, velocity relaxation in an infinite two-phase flow, and the Sedov point blast problem in a gasdispersed medium. In the last case, the results of two-dimensional computations are compared with an exact self-similar solution.

Sobre autores

I. Menshov

National Research Center “Kurchatov Institute” - SRISA; Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

Email: menshov@kiam.ru
Moscow, Russia; Moscow, Russia

M. Nemtsev

National Research Center “Kurchatov Institute” - SRISA

Email: nemtsev@niisi.ras.ru
Moscow, Russia

V. Markov

National Research Center “Kurchatov Institute” - SRISA; Steklov Mathematical Institute, Russian Academy of Sciences

Email: markov@mi.ras.ru
Moscow, Russia; Moscow, Russia

I. Semenov

National Research Center “Kurchatov Institute” - SRISA

Email: ilyasemv@yandex.ru
Moscow, Russia

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