Application of multi-block approach in the immersed boundary-lattice Boltzmann method for viscous fluid flows

Journal of Computational Physics

Volumn 218, Issue 2, 2006, Pages 460-478

  Peng, Y ^a   Shu, C ^a   Chew, Y T ^a   Niu, X D ^a   Lu, X Y ^b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

Immersed boundary method; Incompressible flow; Lattice Boltzmann method; Multi block approach

Indexed keywords

CIRCULAR CYLINDERS; COMPUTATIONAL FLUID DYNAMICS; KINETIC THEORY; NUMERICAL METHODS; RELAXATION TIME; TURBULENT FLOW;

BLOCK APPROACH; IMMERSED BOUNDARY; IMMERSED BOUNDARY METHODS; LATTICE BOLTZMANN METHOD; MULTI RELAXATION TIME; MULTI-BLOCK APPROACH; MULTIBLOCKS; RIGID PARTICLES; SINGLE RELAXATION TIME; VISCOUS FLUID FLOW;

INCOMPRESSIBLE FLOW;

EID: 33748897722     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.02.017     Document Type: Article

References (26)

1. Peskin C.S. Numerical analysis of blood flow in the heart. J. Comput. Phys. 25 (1977) 220-252
2. Mittal R., and Iaccarino G. Immersed boundary methods. Annu. Rev. Fluid Mech. 37 (2005) 239-261
3. Feng Z., and Michaelides E. The immersed boundary-lattice Boltzmann method for solving fluid-particles interaction problems. J. Comput. Phys. 195 (2004) 602-628
4. Chen S., and Doolen G.D. Lattice Boltzmann method for fluid flows. Annu. Rev. Fluid Mech. 30 (1998) 329-364
5. Feng Z., and Michaelides E. Proteus: a direct forcing method in the simulations of particulate flows. J. Comput. Phys. 202 (2005) 20-51
6. Lallemand P., and Luo L.-S. Theory of the lattice Boltzmann method: dispersion, dissipation, isotropy, Galilean invariance, and stability. Phys. Rev. E 61 (2000) 6546-6562
7. d'Humières D. In: Shizgal B.D., and Weaver D.P. (Eds). Rarefied Gas Dynamics: Theory and Simulations. Prog. Astronaut. Aeronaut. vol. 159 (1992), AIAA, Washington, DC
8. D. Yu, Viscous Flow Computations with the Lattice Boltzmann Equation Method, Ph.D. Thesis, University of Florida, 2002.
9. Yu D., Mei R., and Shyy W. A multi-block lattice Boltzmann method for viscous fluid flows. Int. J. Numer. Meth. Fluids 39 (2002) 99-120
10. Wan D.C., Patnaik B.S.V., and Wei G.W. Discrete singular convolution-finite subdomain method for the solution of incompressible viscous flows. J. Comput. Phys. 180 (2002) 229-255
11. Höfler K., and Schwarzer S. Navier-Stokes simulation with constraint forces: finite-difference method for particle-laden flows and complex geometries. Phys. Rev. E 61 (2000) 7146-7160
12. Peskin C.S. The immersed boundary method. Acta Numer. 11 (2002) 479-517
13. Ghia U., Ghia K.N., and Shin C.T. High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. J. Comput. Phys. 48 (1982) 387
14. Lai M., and Peskin C.S. An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. J. Comput. Phys. 160 (2000) 705-719
15. Dennis S.C.R., and Chang G.Z. Numerical solutions for steady flow past a circular cylinder at Reynolds number up to 100. J. Fluid Mech. 42 (1970) 471
16. Nieuwstadt F., and Keller H.B. Viscous flow past circular cylinders. Comp. Fluids 1 (1973) 59
17. Coutanceau M., and Bouard R. Experimental determination of the main features of the viscous flow in the wake of circular cylinder in uniform translation. Part I. Steady flow. J. Fluid Mech. 79 (1977) 231
18. Fornberg B. A numerical study of steady viscous flow past a circular cylinder. J. Fluid Mech. 98 (1980) 819
19. He X., and Doolen G. Lattice Boltzmann method on curvilinear coordinates system: flow around a circular cylinder. J. Comput. Phys. 134 (1997) 306-315
20. Saiki E.M., and Biringen S. Numerical simulation of a cylinder in uniform flow: application of a virtual boundary method. J. Comput. Phys. 123 (1996) 450
21. Clift R., Grace J.R., and Weber M.E. Bubbles, Drops and Particles vol. 154 (1978), Academic Press, New York
22. Berger E., and Wille R. Periodic flow phenomena. Annu. Rev. Fluid Mech. 4 (1972) 313-340
23. Karniadakis G.E., and Triantafyllou G.S. Three-dimensional dynamics and transition to turbulence in the wake of bluff object. J. Fluid. Mech. 238 (1992) 1
24. T. Imamura, K. Suzuki, T. Nakamura, M. Yoshida, Flow simulation around an airfoil using lattice Boltzmann method on generalized coordinates, AIAA 2004-0244.
25. Lockard D.P., Luo L.S., Milder S.D., and Singer B.A. Evaluation of powerflow for aerodynamic applications. J. Stat. Phys. 107 (2002) 423-478
26. Mehta U.B., and Lavan Z. Starting vortex, separation bubbles and stall: a numerical study of laminar unsteady flow around an airfoil. J. Fluid. Mech. 67 (1975) 227-256