Year: 2010
Author: Jaw-Yen Yang, Li-Hsin Hung, Yao-Tien Kuo
Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 5 : pp. 626–639
Abstract
A semiclassical lattice Boltzmann method is presented for axisymmetric flows of gas of particles of arbitrary statistics. The method is first derived by directly projecting the Uehling-Uhlenbeck Boltzmann-BGK equations in two-dimensional rectangular coordinates onto the tensor Hermite polynomials using moment expansion method and then the forcing strategy of Halliday et al. (Phys. Rev. E., 64 (2001), 011208) is adopted and forcing term is added into the resulting microdynamic evolution equation. The determination of the forcing terms is dictated by yielding the emergent macroscopic equations toward a particular target form. The correct macroscopic equations of the incompressible axisymmetric viscous flows are recovered through the Chapman-Enskog expansion. Computations of uniform flow over a sphere to verify the method are included. The results also indicate distinct characteristics of the effects of quantum statistics.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.10-10S07
Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 5 : pp. 626–639
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Author Details
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