A Three-Dimensional Semiclassical Lattice Boltzmann Method for Lid-Driven Cubic Cavity Flows
A three-dimensional lattice Boltzmann method based on the Uehling-Uhlenbeck Boltzmann-BGK equation is presented. The method is directly derived by projecting the kinetic governing equation onto the tensor Hermite polynomials and various hydrodynamic approximation orders can be achieved. The intrinsi...
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| Format: | Article |
| Language: | English |
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The Japan Society of Mechanical Engineers
2011-07-01
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| Series: | Journal of Fluid Science and Technology |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/jfst/6/5/6_5_780/_pdf/-char/en |
| _version_ | 1818942646791438336 |
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| author | Jaw-Yen YANG Li-Hsin HUNG |
| author_facet | Jaw-Yen YANG Li-Hsin HUNG |
| author_sort | Jaw-Yen YANG |
| collection | DOAJ |
| description | A three-dimensional lattice Boltzmann method based on the Uehling-Uhlenbeck Boltzmann-BGK equation is presented. The method is directly derived by projecting the kinetic governing equation onto the tensor Hermite polynomials and various hydrodynamic approximation orders can be achieved. The intrinsic discrete nodes of the three-dimensional Gauss-Hermite quadrature provide the natural lattice velocities for the semiclassical lattice Boltzmann method. Simulations of the lid-driven cubic cavity flows based on D3Q19 lattice model for several Reynolds numbers and different particle statistics are shown to illustrate the method. The results indicate distinct characteristics of the effects of quantum statistics. |
| first_indexed | 2024-12-20T07:14:45Z |
| format | Article |
| id | doaj.art-2a272a2da5d4480ea26191ffef769857 |
| institution | Directory Open Access Journal |
| issn | 1880-5558 |
| language | English |
| last_indexed | 2024-12-20T07:14:45Z |
| publishDate | 2011-07-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Journal of Fluid Science and Technology |
| spelling | doaj.art-2a272a2da5d4480ea26191ffef7698572022-12-21T19:48:49ZengThe Japan Society of Mechanical EngineersJournal of Fluid Science and Technology1880-55582011-07-016578079110.1299/jfst.6.780jfstA Three-Dimensional Semiclassical Lattice Boltzmann Method for Lid-Driven Cubic Cavity FlowsJaw-Yen YANG0Li-Hsin HUNG1Institute of Applied Mechanics, National Taiwan UniversityInstitute of Applied Mechanics, National Taiwan UniversityA three-dimensional lattice Boltzmann method based on the Uehling-Uhlenbeck Boltzmann-BGK equation is presented. The method is directly derived by projecting the kinetic governing equation onto the tensor Hermite polynomials and various hydrodynamic approximation orders can be achieved. The intrinsic discrete nodes of the three-dimensional Gauss-Hermite quadrature provide the natural lattice velocities for the semiclassical lattice Boltzmann method. Simulations of the lid-driven cubic cavity flows based on D3Q19 lattice model for several Reynolds numbers and different particle statistics are shown to illustrate the method. The results indicate distinct characteristics of the effects of quantum statistics.https://www.jstage.jst.go.jp/article/jfst/6/5/6_5_780/_pdf/-char/enlattice boltzmannsemiclassicalcavity flow. |
| spellingShingle | Jaw-Yen YANG Li-Hsin HUNG A Three-Dimensional Semiclassical Lattice Boltzmann Method for Lid-Driven Cubic Cavity Flows Journal of Fluid Science and Technology lattice boltzmann semiclassical cavity flow. |
| title | A Three-Dimensional Semiclassical Lattice Boltzmann Method for Lid-Driven Cubic Cavity Flows |
| title_full | A Three-Dimensional Semiclassical Lattice Boltzmann Method for Lid-Driven Cubic Cavity Flows |
| title_fullStr | A Three-Dimensional Semiclassical Lattice Boltzmann Method for Lid-Driven Cubic Cavity Flows |
| title_full_unstemmed | A Three-Dimensional Semiclassical Lattice Boltzmann Method for Lid-Driven Cubic Cavity Flows |
| title_short | A Three-Dimensional Semiclassical Lattice Boltzmann Method for Lid-Driven Cubic Cavity Flows |
| title_sort | three dimensional semiclassical lattice boltzmann method for lid driven cubic cavity flows |
| topic | lattice boltzmann semiclassical cavity flow. |
| url | https://www.jstage.jst.go.jp/article/jfst/6/5/6_5_780/_pdf/-char/en |
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