Time-independent gravitational fields in the BGK scheme for hydrodynamics
We incorporate a time-independent gravitational field into the BGK scheme for numerical hydrodynamics. In the BGK scheme the gas evolves via an approximation to the collisional Boltzmann equation, namely the Bhatnagar-Gross-Krook (BGK) equation. Time-dependent hydrodynamical fluxes are computed from...
| Main Authors: | , |
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| 格式: | Journal article |
| 語言: | English |
| 出版: |
1999
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| _version_ | 1826292384673038336 |
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| author | Slyz, A Prendergast, K |
| author_facet | Slyz, A Prendergast, K |
| author_sort | Slyz, A |
| collection | OXFORD |
| description | We incorporate a time-independent gravitational field into the BGK scheme for numerical hydrodynamics. In the BGK scheme the gas evolves via an approximation to the collisional Boltzmann equation, namely the Bhatnagar-Gross-Krook (BGK) equation. Time-dependent hydrodynamical fluxes are computed from local solutions of the BGK equation. By accounting for particle collisions, the fundamental mechanism for generating dissipation in gas flow, a scheme based on the BGK equation gives solutions to the Navier-Stokes equations: the fluxes carry both advective and dissipative terms. We perform numerical experiments in both 1D Cartesian geometries and axisymmetric cylindrical coordinates. |
| first_indexed | 2024-03-07T03:13:51Z |
| format | Journal article |
| id | oxford-uuid:b51f75e0-81f5-449c-9303-4dffccde9f1e |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:13:51Z |
| publishDate | 1999 |
| record_format | dspace |
| spelling | oxford-uuid:b51f75e0-81f5-449c-9303-4dffccde9f1e2022-03-27T04:31:03ZTime-independent gravitational fields in the BGK scheme for hydrodynamicsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b51f75e0-81f5-449c-9303-4dffccde9f1eEnglishSymplectic Elements at Oxford1999Slyz, APrendergast, KWe incorporate a time-independent gravitational field into the BGK scheme for numerical hydrodynamics. In the BGK scheme the gas evolves via an approximation to the collisional Boltzmann equation, namely the Bhatnagar-Gross-Krook (BGK) equation. Time-dependent hydrodynamical fluxes are computed from local solutions of the BGK equation. By accounting for particle collisions, the fundamental mechanism for generating dissipation in gas flow, a scheme based on the BGK equation gives solutions to the Navier-Stokes equations: the fluxes carry both advective and dissipative terms. We perform numerical experiments in both 1D Cartesian geometries and axisymmetric cylindrical coordinates. |
| spellingShingle | Slyz, A Prendergast, K Time-independent gravitational fields in the BGK scheme for hydrodynamics |
| title | Time-independent gravitational fields in the BGK scheme for hydrodynamics |
| title_full | Time-independent gravitational fields in the BGK scheme for hydrodynamics |
| title_fullStr | Time-independent gravitational fields in the BGK scheme for hydrodynamics |
| title_full_unstemmed | Time-independent gravitational fields in the BGK scheme for hydrodynamics |
| title_short | Time-independent gravitational fields in the BGK scheme for hydrodynamics |
| title_sort | time independent gravitational fields in the bgk scheme for hydrodynamics |
| work_keys_str_mv | AT slyza timeindependentgravitationalfieldsinthebgkschemeforhydrodynamics AT prendergastk timeindependentgravitationalfieldsinthebgkschemeforhydrodynamics |