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. |
|---|---|
| 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] |
| Copyright of Computational Mathematics & Mathematical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 186488867 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Some Aspects of Numerical Modeling of Shock-Wave Processes in a Two-Phase Gas-Dispersed Mixture. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Menshov%2C+I%2E+S%2E%22">Menshov, I. S.</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> menshov@kiam.ru</i><br /><searchLink fieldCode="AR" term="%22Nemtsev%2C+M%2E+Yu%2E%22">Nemtsev, M. Yu.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> nemtsev@niisi.ras.ru</i><br /><searchLink fieldCode="AR" term="%22Markov%2C+V%2E+V%2E%22">Markov, V. V.</searchLink><relatesTo>1,3</relatesTo> (AUTHOR)<i> markov@mi.ras.ru</i><br /><searchLink fieldCode="AR" term="%22Semenov%2C+I%2E+V%2E%22">Semenov, I. V.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> ilyasemv@yandex.ru</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Computational+Mathematics+%26+Mathematical+Physics%22">Computational Mathematics & Mathematical Physics</searchLink>. May2025, Vol. 65 Issue 5, p1113-1130. 18p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Godunov+method%22">Godunov method</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+continuum%22">Mathematical continuum</searchLink><br /><searchLink fieldCode="DE" term="%22Two-phase+flow%22">Two-phase flow</searchLink><br /><searchLink fieldCode="DE" term="%22Computational+mathematics%22">Computational mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Computational Mathematics & Mathematical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1134/S0965542525700290 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 18 StartPage: 1113 Subjects: – SubjectFull: Godunov method Type: general – SubjectFull: Mathematical continuum Type: general – SubjectFull: Two-phase flow Type: general – SubjectFull: Computational mathematics Type: general – SubjectFull: Mathematical models Type: general Titles: – TitleFull: Some Aspects of Numerical Modeling of Shock-Wave Processes in a Two-Phase Gas-Dispersed Mixture. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Menshov, I. S. – PersonEntity: Name: NameFull: Nemtsev, M. Yu. – PersonEntity: Name: NameFull: Markov, V. V. – PersonEntity: Name: NameFull: Semenov, I. V. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 09655425 Numbering: – Type: volume Value: 65 – Type: issue Value: 5 Titles: – TitleFull: Computational Mathematics & Mathematical Physics Type: main |
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