Second order interpolation of the flow field in the lattice Boltzmann method

Computers and Mathematics with Applications

Volumn 58, Issue 5, 2009, Pages 898-902

  Tolke J ^a   Krafczyk, M ^a  

^a TECHNICAL UNIVERSITY OF BRAUNSCHWEIG   (Germany)

Author keywords

Interpolation; Lattice Boltzmann model

Indexed keywords

HIGHER ORDER MOMENTS; INTERPOLATION SCHEMES; LATTICE BOLTZMANN METHOD; LATTICE BOLTZMANN MODEL; SECOND ORDERS; VELOCITY FIELD;

CELL MEMBRANES; COMPUTATIONAL FLUID DYNAMICS; DROP FORMATION; FLOW FIELDS; INTERPOLATION;

DISTRIBUTION FUNCTIONS;

EID: 67650524203     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2009.02.012     Document Type: Article

References (17)

1. He X. Error analysis for the interpolation-supplemented lattice-Boltzmann equation scheme. Internat. J. Modern Phys. C 8 4 (1997) 737-745
2. Filippova O., and Hänel D. Boundary-fitting and local grid refinement for LBGK models. Internat. J. Modern Phys. C 8 (1998) 1271
3. Crouse B., Rank E., Krafczyk M., and Tölke J. A LB-based approach for adaptive flow simulations. Internat. J. Modern Phys. B 17 (2002) 109-112
4. Yu D., Mei R., and Shyy W. A multi-block lattice Boltzmann method for viscous fluid flows. Internat. J. Numer. Methods Fluids 39 2 (2002) 99-120
5. Frisch U., d'Humières D., Hasslacher B., Lallemand P., Pomeau Y., and Rivet J.-P. Lattice gas hydrodynamics in two and three dimensions. Complex Systems 1 (1987) 75-136
6. Chen S., and Doolen G.D. Lattice Boltzmann method for fluid flows. Annu. Rev. Fluid Mech. 30 (1998) 329-364
7. Qian Y.H., d'Humières D., and Lallemand P. Lattice BGK models for Navier-Stokes equation. Europhys. Lett. 17 (1992) 479-484
8. d'Humières D. Generalized lattice-Boltzmann equations. In: Shizgal B.D., and Weave D.P. (Eds). Rarefied Gas Dynamics: Theory and Simulations. Prog. Astronaut. Aeronaut. vol. 159 (1992), AIAA, Washington, DC 450-458
9. Lallemand P., and Luo L.-S. Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability. Phys. Rev. E 61 6 (2000) 6546-6562
10. d'Humières D., Ginzburg I., Krafczyk M., Lallemand P., and Luo L.-S. Multiple-relaxation-time lattice Boltzmann models in three-dimensions. Phil. Trans. R. Soc. Lond. A 360 (2002) 437-451
11. Tölke J. A thermal model based on the lattice Boltzmann method for low Mach number compressible flows. J. Comput. Theoret. Nanosci. 3 4 (2006) 579-587
12. Chapman S., and Cowling T.G. The Mathematical Theory of Non-Uniform Gases (1990), Cambridge University Press
13. Inamuro T., Yoshino M., and Ogino F. Accuarcy of the lattice Boltzmann method for small Knudsen number with finite Reynolds number. Phys. Fluids 9 (1997) 3535
14. Junk M., Klar A., and Luo L.-S. Asymptotic analysis of the lattice Boltzmann equation. J. Comput. Phys. 210 (2005) 676
15. Ginzburg I., and d'Humières D. Multireflection boundary conditions for lattice Boltzmann models. Phys. Rev. E 68 (2003) 066614
16. Moore E.H. On the reciprocal of the general algebraic matrix. Bull. Amer. Math. Soc. 26 (1920) 394-395
17. Penrose R. A generalized inverse for matrices. Proc. Cambr. Philo. Soc. 51 (1955) 406-413