A lattice boltzmann model for compressible perfect gas

Acta Mechanica Sinica/Lixue Xuebao

Volumn 13, Issue 3, 1997, Pages 218-226

  Shouxin, Hu ^a   Guangwu, Yan ^a   Weiping, Shi ^a  

^a JILIN UNIVERSITY   (China)

Author keywords

Compressible; General case of the ratio of specific heats; Lattice boltzmann method; Perfect gas; Two speed three energy level model

Indexed keywords

GASES; LATTICE VIBRATIONS; SHOCK WAVES;

COMPRESSIBLE PERFECT GAS; GENERAL SPECIFIC HEATS RATIO; LATTICE BOLTZMANN METHOD; TWO SPEED THREE ENERGY LEVEL MODEL;

COMPRESSIBILITY;

EID: 0031198802     PISSN: 05677718     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02487704     Document Type: Article

References (16)

1. Frisch U, Hasslacher B, Pomeau Y. Lattice-gas automata for the Navier-Stokes equation. Phys Rev Lett, 1986, 56: 1505-1508
2. Qian YH, d'Humières D, Lallemand P. Lattice BGK models for Navier-Stokes equation. Europhys Lett, 1992, 17(6): 479-484
3. Chen HD, Chen SY and Matthaeus WH. Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method. Phys Rev A, 1992, 45: 5339-5342
4. Benzi R, Succi S and Vergassola M. The lattice Boltzmann equation: theory and applications. Physics Reports, 1992, 222(3): 147-196
5. Yan GW,Shao X, Hu SX. Investigations of waves and experiments of its viscosity with LBM. Acta Scientiarum Naturalism Universitatis Jilinensis,1996, 118(4): 23-27 (in Chinese)
6. Alexander FJ, Chen HD, Chen SY et al. Lattice Boltzmann model for compressible fluids. Phys Rev A, 1992, 46: 1967-1970
7. Qian YH and Orszag SA. Lattice BGK model for the Navier-Stokes equation: Nonlinear deviation in compressible regimes. Europhys Lett, 1993, 21(3): 255-259
8. Qian YH and Orszag SA. Numerical simulation of weakly compressible Kolmogorov flow with kinetic model. 1994, preprint
9. Ancona MG. Fully-Lagrangian and Lattice-Boltzmann methods for solving systems of conservation equation. J Comput Phys, 1994, 115: 107-120
10. Yan Guangwu. Lattice Boltzmann equation for fluid dynamics. Ph D thesis, Mechanics Dep, Peking University, 1994
11. Sod G A. A survey of several finite difference methods for systems of non linear hyperbolic conservation laws. J Comput Phys, 1978, 27: 1-31
12. Alexander FJ, Chen SY, Sterling JD. Lattice Boltzmann thermohydrodynamics. Physical Rev, E, 1993, 4(4):2249-2252
13. McNamara GR, Garcia AL, Alder BJ. Stabilization of thermal lattice Boltzmann model. J Stat Phys, 1995, 27(1/2): 395-408
14. Chen Y, Ohashi H, Akiyama M. Heat transfer in lattice BGK modeled fluid. J Stat Phys, 1995, 81(1/2): 71-85
15. Shi WP, Hu SX, Yan GW. Lattice Boltzmann equation of multi-speed for compressible fluids. Acta Scientiarum Naturalium Universitatis Jilinensis, 1996, 116(2): 1-12 (in Chinese)
16. Bernardin D, Sero-Guillaume OE, Sun CH. Multispecies 2D lattice gas with energy levels: Diffusive properties. Physica , 1991, 47D: 169-188