Browse > Article

Numerical Simulation of Shock Wave Propagation using the Finite Difference Lattice Boltzmann Method  

Kang, Ho-Keun (School of Transport vehicle engineering, Institute of Marine Industry, Gyeongsang National University)
Michihisa Tsutahara (Graduate School of Science and Technology, Kobe University)
Ro, Ki-Deok (School of Transport vehicle engineering, Institute of Marine Industry, Gyeongsang National University)
Lee, Young-Ho (Division of Mechanical & Information engineering, Korea Maritime University)
Publication Information
Journal of Mechanical Science and Technology / v.16, no.10, 2002 , pp. 1327-1335 More about this Journal
Abstract
The shock wave process represents an abrupt change in fluid properties, in which finite variations in pressure, temperature, and density occur over the shock thickness which is comparable to the mean free path of the gas molecules involved. This shock wave fluid phenomenon is simulated by using the finite difference lattice Boltzmann method (FDLBM). In this paper, a new model is proposed using the lattice BGK compressible fluid model in FDLBM for the purpose of speeding up the calculation as well as stabilizing the numerical scheme. The numerical results of the proposed model show good agreement with the theoretical predictions.
Keywords
Finite Difference Lattice Boltzmann Method; BGK Model; Compressible Fluid; Shock Wave; Wave Reflection;
Citations & Related Records
Times Cited By KSCI : 5  (Citation Analysis)
연도 인용수 순위
1 Cao, N., Chen, S., Jin, S. and Martinez, D., 1997, 'Physical Symmetry and Lattice Symmetry in the Lattice Boltzmann Method,' Physical Review E, 55, pp. R21-R24   DOI   ScienceOn
2 Chen, Y., Ohashi, H. and Akiyama, M., 1994, 'Thermal Lattice Bhatnagar-Gross-Krook Model without Nonlinear Deviations in Macrodynamic Equation,' Physical Review E, 50, pp. 2776-2783   DOI   ScienceOn
3 Hung, J., Xu, F., Vallieres, M., Feng, D. H., Qian, Y. H., Fryxell, B. and Strayer, M. R., 1997, 'A Thermal LBGK Model for Large Density and Temperature Differences,' International Journal of Modern Physics C, Vol. 8, No. 4, pp. 827-841   DOI
4 McNamara, G. and Zanetti, G., 1988, 'Use of the Boltzmann Equation to Simulate Lattice-Gas Automata,' Physical Review Letters, Vol. 61, pp. 2332-2335   DOI   ScienceOn
5 Qian, Y. H., Succi, S. and Orszag, S. A., 1995, 'Recent Advances in Lattice Boltzmann Computing,' Annual Review of Computational Physics III, D. Stauffer ed. World Scientific, pp. 195-242
6 Rothman, D. and Zaleski, S., 1997, Lattice-Gas Cellular Automata, Cambridge UP
7 Tsutahara, M. and Kang, H. K., 2002, 'A Discrete Effect of the Thermal Lattice BGK Model,' Journal of Statistical Physics, Vol. 107, No. 112, pp. 479-498   DOI
8 Alexander, F. J., Chen, S. and Sterling, J. D., 1993, 'Lattice Boltzmann Thermo-Hydrodynamic,' Physical Review E, 47, pp. 2249-2252   DOI