Some Aspects of Numerical Modeling of Shock-Wave Processes in a Two-Phase Gas-Dispersed Mixture.
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| Title: | Some Aspects of Numerical Modeling of Shock-Wave Processes in a Two-Phase Gas-Dispersed Mixture. |
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| Authors: | Menshov, I. S.1,2 (AUTHOR) menshov@kiam.ru, Nemtsev, M. Yu.1 (AUTHOR) nemtsev@niisi.ras.ru, Markov, V. V.1,3 (AUTHOR) markov@mi.ras.ru, Semenov, I. V.1 (AUTHOR) ilyasemv@yandex.ru |
| Source: | Computational Mathematics & Mathematical Physics. May2025, Vol. 65 Issue 5, p1113-1130. 18p. |
| Subjects: | Godunov method, Mathematical continuum, Two-phase flow, Computational mathematics, Mathematical models |
| Abstract: | 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 gas-dispersed medium. In the last case, the results of two-dimensional computations are compared with an exact self-similar solution. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| Abstract: | 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 gas-dispersed medium. In the last case, the results of two-dimensional computations are compared with an exact self-similar solution. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 09655425 |
| DOI: | 10.1134/S0965542525700290 |
