An explicit modal discontinuous Galerkin approach to compressible multicomponent flows: application to shock-bubble interaction
An explicit modal discontinuous Galerkin method is developed for solving compressible multicomponent flows. The multicomponent flows are governed by the two-dimensional compressible Euler equations for a gas mixture. For spatial discretization, scaled Legendre polynomials with third-order accuracy a...
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| Format: | Book Chapter |
| Language: | English |
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CRC Press
2022
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| Online Access: | https://hdl.handle.net/10356/156093 |
| _version_ | 1826117011607912448 |
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| author | Singh, Satyvir |
| author2 | Z. Uddin |
| author_facet | Z. Uddin Singh, Satyvir |
| author_sort | Singh, Satyvir |
| collection | NTU |
| description | An explicit modal discontinuous Galerkin method is developed for solving compressible multicomponent flows. The multicomponent flows are governed by the two-dimensional compressible Euler equations for a gas mixture. For spatial discretization, scaled Legendre polynomials with third-order accuracy are utilized, while an explicit third-order accurate Strongly Stability Preserving Runge-Kutta scheme is adopted to march the solution in time. Numerical experiments are carried out for the shock-bubble interaction problem to validate the present numerical method. Results of the present numerical method are compared with the available experimental results. A close agreement is observed between the numerical and experimental results, indicating that the present method has the capability to capture sharp discontinuities. Finally, certain numerical results of the shock-bubble interaction problem with both light and bubbles are explained based on flow fields visualization and vorticity production in detail. |
| first_indexed | 2024-10-01T04:20:47Z |
| format | Book Chapter |
| id | ntu-10356/156093 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:20:47Z |
| publishDate | 2022 |
| publisher | CRC Press |
| record_format | dspace |
| spelling | ntu-10356/1560932022-06-22T07:21:36Z An explicit modal discontinuous Galerkin approach to compressible multicomponent flows: application to shock-bubble interaction Singh, Satyvir Z. Uddin M. K. Awasthi R. Asthana M. Ram School of Physical and Mathematical Sciences Engineering::Mechanical engineering::Fluid mechanics Shock‑Bubble Interaction Discontinuous Galerkin Approach An explicit modal discontinuous Galerkin method is developed for solving compressible multicomponent flows. The multicomponent flows are governed by the two-dimensional compressible Euler equations for a gas mixture. For spatial discretization, scaled Legendre polynomials with third-order accuracy are utilized, while an explicit third-order accurate Strongly Stability Preserving Runge-Kutta scheme is adopted to march the solution in time. Numerical experiments are carried out for the shock-bubble interaction problem to validate the present numerical method. Results of the present numerical method are compared with the available experimental results. A close agreement is observed between the numerical and experimental results, indicating that the present method has the capability to capture sharp discontinuities. Finally, certain numerical results of the shock-bubble interaction problem with both light and bubbles are explained based on flow fields visualization and vorticity production in detail. 2022-06-22T07:21:36Z 2022-06-22T07:21:36Z 2022 Book Chapter Singh, S. (2022). An explicit modal discontinuous Galerkin approach to compressible multicomponent flows: application to shock-bubble interaction. Z. Uddin, M. K. Awasthi, R. Asthana & M. Ram (Eds.), Computing and Simulation for Engineers (pp. 19-36). CRC Press. https://hdl.handle.net/10356/156093 9781032119427 https://hdl.handle.net/10356/156093 10.1201/9781003222255 19 36 en NAP-SUG Computing and Simulation for Engineers © 2022 CRC Press. All rights reserved. CRC Press |
| spellingShingle | Engineering::Mechanical engineering::Fluid mechanics Shock‑Bubble Interaction Discontinuous Galerkin Approach Singh, Satyvir An explicit modal discontinuous Galerkin approach to compressible multicomponent flows: application to shock-bubble interaction |
| title | An explicit modal discontinuous Galerkin approach to compressible multicomponent flows: application to shock-bubble interaction |
| title_full | An explicit modal discontinuous Galerkin approach to compressible multicomponent flows: application to shock-bubble interaction |
| title_fullStr | An explicit modal discontinuous Galerkin approach to compressible multicomponent flows: application to shock-bubble interaction |
| title_full_unstemmed | An explicit modal discontinuous Galerkin approach to compressible multicomponent flows: application to shock-bubble interaction |
| title_short | An explicit modal discontinuous Galerkin approach to compressible multicomponent flows: application to shock-bubble interaction |
| title_sort | explicit modal discontinuous galerkin approach to compressible multicomponent flows application to shock bubble interaction |
| topic | Engineering::Mechanical engineering::Fluid mechanics Shock‑Bubble Interaction Discontinuous Galerkin Approach |
| url | https://hdl.handle.net/10356/156093 |
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