×

zbMATH — the first resource for mathematics

Discontinuous Galerkin spectral element lattice Boltzmann method on triangular element. (English) Zbl 1033.76046
Summary: Discontinuous Galerkin spectral element method is used to solve the lattice Boltzmann equation in discrete velocity space. The triangular elements are adopted because of their flexibility to deal with complex geometries. The flow past a circular cylinder is simulated by the proposed scheme. The results are consistent with those obtained from the previous numerical methods and experiments.

MSC:
76M28 Particle methods and lattice-gas methods
76M22 Spectral methods applied to problems in fluid mechanics
76M10 Finite element methods applied to problems in fluid mechanics
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Chen, Annual Reviews in Fluid Mechanics 37 pp 329– (1998)
[2] He, Journal of Computational Physics 129 pp 357– (1996)
[3] He, Journal of Computational Physics 134 pp 306– (1997)
[4] Nannelli, Journal of Statistical Physics 68 pp 401– (1992)
[5] Xi, Physical Review E 60 pp 3380– (1999)
[6] Filippova, Journal of Computational Physics 147 pp 219– (1998)
[7] Technical Report LA-UR-73-479, Los Alamos Scientific Laboratory, 1973.
[8] Cockburn, Mathematics of Computation 54 pp 545– (1990)
[9] Kirby, Applied Numerical Mathematics 33 pp 393– (2000)
[10] Kershaw, Computers and Methods in Applied Mechanical Engineering 158 pp 81– (1998)
[11] Bhatnagar, Physical Review 94 pp 511– (1954)
[12] Chen, Physical Review Letters 67 pp 3376– (1991)
[13] Qian, Europhysics Letters 17 pp 479– (1992)
[14] Cao, Physical Review E 55 pp r21– (1996)
[15] Dubiner, Journal of Scientific Computation 6 pp 345– (1991) · Zbl 0735.15006
[16] Sherwin, Computers and Methods in Applied Mechanical Engineering 123 pp 189– (1995)
[17] Coutanceau, Journal of Fluid Mechanics 79 pp 231– (1977)
[18] Nieuwstadt, Computers and Fluids 1 pp 59– (1973)
[19] Bubbles, Drops, and Particles. Academic Press: New York, 1978.
[20] Modern Development in Fluid Dynamics. Clarendon Press: Oxford, 1938.
[21] Braza, Journal of Fluid Mechanics 165 pp 79– (1986)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.