Numerical Approximation of Compressible Two-Phase Six-Equation Model Using CE/SE and RKDG Schemes
In this article, two-phase compressible six equation flow model is numerically investigated. The six-equation model consists of velocity, pressure equations, and also relaxation terms. An extra seventh equation is included describing the total energy of the mixture to ensure the correct treatment of...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/1697181 |
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| author | Omar Rabbani Saqib Zia Munshoor Ahmed Asad Rehman Ilyas Khan Mulugeta Andualem |
| author_facet | Omar Rabbani Saqib Zia Munshoor Ahmed Asad Rehman Ilyas Khan Mulugeta Andualem |
| author_sort | Omar Rabbani |
| collection | DOAJ |
| description | In this article, two-phase compressible six equation flow model is numerically investigated. The six-equation model consists of velocity, pressure equations, and also relaxation terms. An extra seventh equation is included describing the total energy of the mixture to ensure the correct treatment of the sharp discontinuities. The model is hyperbolic and poses numerous difficulties for numerical schemes. An efficient and well-balanced scheme can handle the numerical difficulties related to this model. The second order space-time CE/SE scheme is extended to solve the model. This scheme offers an effective numerical method for several continuum mechanics problems. The suggested scheme suppresses the numerical oscillations and dissipation effects. Several numerical test cases have been carried out to reveal the efficiency and performance of the proposed approach. The results are compared with the exact solution and also with Runge-Kutta Discontinuous Galerkin (RKDG) and central (NT) schemes. |
| format | Article |
| id | doaj-art-91ae3610c5604f85b162aab1d780deb7 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-91ae3610c5604f85b162aab1d780deb72025-02-03T01:32:41ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/1697181Numerical Approximation of Compressible Two-Phase Six-Equation Model Using CE/SE and RKDG SchemesOmar Rabbani0Saqib Zia1Munshoor Ahmed2Asad Rehman3Ilyas Khan4Mulugeta Andualem5Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsIn this article, two-phase compressible six equation flow model is numerically investigated. The six-equation model consists of velocity, pressure equations, and also relaxation terms. An extra seventh equation is included describing the total energy of the mixture to ensure the correct treatment of the sharp discontinuities. The model is hyperbolic and poses numerous difficulties for numerical schemes. An efficient and well-balanced scheme can handle the numerical difficulties related to this model. The second order space-time CE/SE scheme is extended to solve the model. This scheme offers an effective numerical method for several continuum mechanics problems. The suggested scheme suppresses the numerical oscillations and dissipation effects. Several numerical test cases have been carried out to reveal the efficiency and performance of the proposed approach. The results are compared with the exact solution and also with Runge-Kutta Discontinuous Galerkin (RKDG) and central (NT) schemes.http://dx.doi.org/10.1155/2022/1697181 |
| spellingShingle | Omar Rabbani Saqib Zia Munshoor Ahmed Asad Rehman Ilyas Khan Mulugeta Andualem Numerical Approximation of Compressible Two-Phase Six-Equation Model Using CE/SE and RKDG Schemes Advances in Mathematical Physics |
| title | Numerical Approximation of Compressible Two-Phase Six-Equation Model Using CE/SE and RKDG Schemes |
| title_full | Numerical Approximation of Compressible Two-Phase Six-Equation Model Using CE/SE and RKDG Schemes |
| title_fullStr | Numerical Approximation of Compressible Two-Phase Six-Equation Model Using CE/SE and RKDG Schemes |
| title_full_unstemmed | Numerical Approximation of Compressible Two-Phase Six-Equation Model Using CE/SE and RKDG Schemes |
| title_short | Numerical Approximation of Compressible Two-Phase Six-Equation Model Using CE/SE and RKDG Schemes |
| title_sort | numerical approximation of compressible two phase six equation model using ce se and rkdg schemes |
| url | http://dx.doi.org/10.1155/2022/1697181 |
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