A three-dimensional modal discontinuous Galerkin method for the second-order Boltzmann-Curtiss-based constitutive model of rarefied and microscale gas flows
A three-dimensional mixed modal discontinuous Galerkin (DG) method based on tetrahedral meshes was developed for simulating all flow regimes from subsonic to hypersonic rarefied and microscale gas flows within a single framework. The mixed modal DG scheme was used for solving conservation laws in co...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2022
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| Online Access: | https://hdl.handle.net/10356/156101 |
| _version_ | 1811684387556687872 |
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| author | Singh, Satyvir Karchani, Abolfazl Chourushi, Tushar Myong, Rho Shin |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Singh, Satyvir Karchani, Abolfazl Chourushi, Tushar Myong, Rho Shin |
| author_sort | Singh, Satyvir |
| collection | NTU |
| description | A three-dimensional mixed modal discontinuous Galerkin (DG) method based on tetrahedral meshes was developed for simulating all flow regimes from subsonic to hypersonic rarefied and microscale gas flows within a single framework. The mixed modal DG scheme was used for solving conservation laws in conjunction with the second-order Boltzmann-Curtiss-based constitutive model of diatomic and polyatomic gases in strong thermal nonequilibrium. A decomposition algorithm based on the compression-expansion and velocity shear sub-problems was presented for solving the multi-dimensional second-order constitutive model. The Langmuir and Maxwell-Smoluchowski velocity-slip and temperature-jump boundary conditions were also implemented into the DG framework. To assess the ability of the new computational model to capture correct physical phenomena, we applied the new model to various gas flows in a wide range of continuum-rarefied and microscale regimes. The computational results in the rarefied and microscale flow regimes showed that the second-order constitutive model yielded solutions that were in better agreement with the direct simulation Monte Carlo and experimental data than the first-order constitutive model. |
| first_indexed | 2024-10-01T04:27:49Z |
| format | Journal Article |
| id | ntu-10356/156101 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:27:49Z |
| publishDate | 2022 |
| record_format | dspace |
| spelling | ntu-10356/1561012023-02-28T20:03:39Z A three-dimensional modal discontinuous Galerkin method for the second-order Boltzmann-Curtiss-based constitutive model of rarefied and microscale gas flows Singh, Satyvir Karchani, Abolfazl Chourushi, Tushar Myong, Rho Shin School of Physical and Mathematical Sciences Engineering::Mechanical engineering::Fluid mechanics Discontinuous Galerkin Boltzmann-Curtiss-Based Constitutive Model A three-dimensional mixed modal discontinuous Galerkin (DG) method based on tetrahedral meshes was developed for simulating all flow regimes from subsonic to hypersonic rarefied and microscale gas flows within a single framework. The mixed modal DG scheme was used for solving conservation laws in conjunction with the second-order Boltzmann-Curtiss-based constitutive model of diatomic and polyatomic gases in strong thermal nonequilibrium. A decomposition algorithm based on the compression-expansion and velocity shear sub-problems was presented for solving the multi-dimensional second-order constitutive model. The Langmuir and Maxwell-Smoluchowski velocity-slip and temperature-jump boundary conditions were also implemented into the DG framework. To assess the ability of the new computational model to capture correct physical phenomena, we applied the new model to various gas flows in a wide range of continuum-rarefied and microscale regimes. The computational results in the rarefied and microscale flow regimes showed that the second-order constitutive model yielded solutions that were in better agreement with the direct simulation Monte Carlo and experimental data than the first-order constitutive model. Nanyang Technological University Submitted/Accepted version R.S.M. acknowledges the support from the National Research Foundation of Korea funded by the Ministry of Science and ICT (NRF 2017-R1A2B2007634 and NRF 2017-R1A5A1015311), South Korea. S.S. acknowledges the partial support provided by the Nanyang Technological University Singapore, through the NAP-SUG grant. 2022-04-22T01:44:16Z 2022-04-22T01:44:16Z 2022 Journal Article Singh, S., Karchani, A., Chourushi, T. & Myong, R. S. (2022). A three-dimensional modal discontinuous Galerkin method for the second-order Boltzmann-Curtiss-based constitutive model of rarefied and microscale gas flows. Journal of Computational Physics, 457, 111052-. https://dx.doi.org/10.1016/j.jcp.2022.111052 0021-9991 https://hdl.handle.net/10356/156101 10.1016/j.jcp.2022.111052 2-s2.0-85124979999 457 111052 en NAP-SUG-M408074 Journal of Computational Physics © 2022 Elsevier Inc. All rights reserved. This paper was published in Journal of Computational Physics and is made available with permission of Elsevier Inc. application/pdf |
| spellingShingle | Engineering::Mechanical engineering::Fluid mechanics Discontinuous Galerkin Boltzmann-Curtiss-Based Constitutive Model Singh, Satyvir Karchani, Abolfazl Chourushi, Tushar Myong, Rho Shin A three-dimensional modal discontinuous Galerkin method for the second-order Boltzmann-Curtiss-based constitutive model of rarefied and microscale gas flows |
| title | A three-dimensional modal discontinuous Galerkin method for the second-order Boltzmann-Curtiss-based constitutive model of rarefied and microscale gas flows |
| title_full | A three-dimensional modal discontinuous Galerkin method for the second-order Boltzmann-Curtiss-based constitutive model of rarefied and microscale gas flows |
| title_fullStr | A three-dimensional modal discontinuous Galerkin method for the second-order Boltzmann-Curtiss-based constitutive model of rarefied and microscale gas flows |
| title_full_unstemmed | A three-dimensional modal discontinuous Galerkin method for the second-order Boltzmann-Curtiss-based constitutive model of rarefied and microscale gas flows |
| title_short | A three-dimensional modal discontinuous Galerkin method for the second-order Boltzmann-Curtiss-based constitutive model of rarefied and microscale gas flows |
| title_sort | three dimensional modal discontinuous galerkin method for the second order boltzmann curtiss based constitutive model of rarefied and microscale gas flows |
| topic | Engineering::Mechanical engineering::Fluid mechanics Discontinuous Galerkin Boltzmann-Curtiss-Based Constitutive Model |
| url | https://hdl.handle.net/10356/156101 |
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