A hybrid immersed-boundary and multi-block lattice Boltzmann method for simulating fluid and moving-boundaries interactions

International Journal for Numerical Methods in Fluids

Volumn 53, Issue 11, 2007, Pages 1727-1754

  Sui, Yi ^a   Chew, Yong Tian ^a   Roy, Partha ^a   Low, Hong Tong ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Direct forcing method; Fluid structure interactions; Immersed boundary method; Lattice Boltzmann method; Moving boundary; Multi block strategy

Indexed keywords

BOLTZMANN EQUATION; COMPUTATIONAL EFFICIENCY; CONSTITUTIVE MODELS; INCOMPRESSIBLE FLOW; MESH GENERATION; VISCOUS FLOW; WAKES; WINGS;

IMMERSED-BOUNDARY METHOD; LATTICE BOLTZMANN METHOD; MOVING BOUNDARIES;

FLUID STRUCTURE INTERACTION;

BOLTZMANN EQUATION; COMPUTATIONAL EFFICIENCY; CONSTITUTIVE MODELS; FLUID STRUCTURE INTERACTION; INCOMPRESSIBLE FLOW; MESH GENERATION; VISCOUS FLOW; WAKES; WINGS;

EID: 34247262162     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1381     Document Type: Article

References (29)

1. Hirt CW, Amsden AA, Cook JL. An arbitrary Lagrangian-Eulerian computing method for all flow speeds. Journal of Computational Physics 1974; 14:227-253.
2. Liu H, Kawachi K. A numerical study of undulatory swimming. Journal of Computational Physics 1999; 155:223-247.
3. Ramamurti R, Sandberg WC. A three-dimensional computational study of the aerodynamic mechanisms of insect flight. Journal of Experimental Biology 2002; 205:1507-1518.
4. Peskin CS. Numerical analysis of blood flow in the heart. Journal of Computational Physics 1977; 25:220-252.
5. Peskin CS. The immersed boundary method. Acta Numerica 2002; 11:479-517.
6. Goldstein D, Handler R, Sirovich L. Modeling a no-slip flow boundary with an external force field. Journal of Computational Physics 1993; 105:354-366.
7. Saiki EM, Biringen S. Numerical simulation of a cylinder in uniform flow: application of a virtual boundary method. Journal of Computational Physics 1996; 123:450-465.
8. Mohd-Yusof J. Combined immersed-boundary/B-spline methods for simulations of flow in complex geometries. Annual Research Briefs, Center for Turbulence Research, NASA Ames and Stanford University, 1997; 317-327.
9. Fadlun EA, Verzicco R, Orlandi P, Mohd-Yusof J. Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations. Journal of Computational Physics 2000; 161:35-60.
10. Chen S, Doolen GD. Lattice Boltzmann method for fluid flows. Annual Review of Fluid Mechanics 1998; 30:329-364.
11. Yu D, Mei R, Luo L, Shyy W. Viscous flow computations with the method of lattice Boltzmann equation. Progress in Aerospace Sciences 2003; 39:329-367.
12. Ladd AJC. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part I. Theoretical foundation. Journal of Fluid Mechanics 1994; 271:285-310.
13. Ladd AJC. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part II. Numerical results. Journal of Fluid Mechanics 1994; 271:311-339.
14. Feng ZG, Michaelides EE. The immersed boundary-lattice Boltzmann method for solving fluid-particles interaction problems. Journal of Computational Physics 2004; 195:602-628.
15. Feng ZG, Michaelides EE. Proteus: a direct forcing method in the simulations of particulate flows. Journal of Computational Physics 2005; 202:20-51.
16. Filippova O, Hänel D. Grid refinement for lattice-BGK models. Journal of Computational Physics 1998; 147:219-228.
17. Yu D, Mei R, Shyy W. A multi-block lattice Boltzmann method for viscous fluid flows. International Journal for Numerical Methods in Fluids 2002; 39:99-120.
18. Bhatnagar PL, Gross EP, Krook M. A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems. Physical Review 1954; 94:511-525.
19. Guo ZL, Zheng CG, Shi BC. Discrete lattice effects on the forcing term in the lattice Boltzmann method. Physical Review E 2002; 65:(046308):1-6.
20. Lai M-C, Peskin CS. An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. Journal of Computational Physics 2000; 160:705-719.
21. Russell D, Wang ZJ. A Cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow. Journal of Computational Physics 2003; 191:177-205.
22. Xu S, Wang ZJ. An immersed interface method for simulating the interaction of a fluid with moving boundaries. Journal of Computational Physics 2006; 216:454-493.
23. Guo ZL, Zheng CG, Shi BC. Non-equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method. Chinese Physics 2002; 11:366-374.
24. Wang ZJ. Two dimensional mechanism for insect hovering. Physical Review Letters 2000; 85:2216-2219.
25. Shi X, Phan-Thien N. Distributed Lagrangian multiplier/fictitious domain method in the framework of lattice Boltzmann method for fluid-structure interactions. Journal of Computational Physics 2005; 206:81-94.
26. Zhang J, Childress S, Libchaber A, Shelly M. Flexible filaments in a flowing soap film as a model for one-dimensional flags in a two-dimensional wind. Nature 2000; 408:835-839.
27. Gilmanov A, Sotiropoulos F. A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies. Journal of Computational Physics 2005; 207:457-492.
28. Dong GJ, Lu XY. Numerical analysis on the propulsive performance and vortex shedding of fish-like traveling wavy plate. International Journal for Numerical Methods in Fluids 2005; 48:1351-1373.
29. Chew YT, Shu C, Niu XD. Simulation of unsteady and incompressible flows by using Taylor series expansion and least square-based lattice Boltzmann method. International Journal of Modern Physics C 2002; 13:719-738.