Lattice Boltzmann method for flows in porous and homogenous fluid domains coupled at the interface by stress jump

International Journal for Numerical Methods in Fluids

Volumn 60, Issue 6, 2009, Pages 691-708

  Bai, Huixing ^a   Yu, P ^a   Winoto, S H ^a   Low, H T ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Interfacial boundary condition; Lattice Boltzmann method; Porous medium; Stress jump

Indexed keywords

FINITE-VOLUME; FLOW REGIONS; FLUID DOMAIN; GENERALIZED MODELS; INERTIAL EFFECT; INTERFACIAL BOUNDARY CONDITION; LATTICE BOLTZMANN EQUATIONS; LATTICE BOLTZMANN METHOD; LID DRIVEN CAVITY FLOW; NORMAL STRESS; PLUG FLOW; POROUS MEDIUM; STRESS JUMP; STRESS JUMPS;

BOUNDARY CONDITIONS; DROP FORMATION; INCOMPRESSIBLE FLOW; NUMBER THEORY; NUMERICAL METHODS; POROUS MATERIALS;

BOLTZMANN EQUATION;

EID: 67649998863     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1913     Document Type: Article

References (27)

1. Mercier J, Weisman C, Firdaouss M, Quéré PL. Heat transfer associated to natural convection flow in a partl porous cavity. ASME Journal of Heat Transfer 2002; 124:130-143.
2. Jue TC. Numerical analysis of vortex shedding behind a porous cylinder. International Journal of Numerical Methods for Heat and Fluid Flow 2004; 14:649-663.
3. Silva RA, de Lemos MJS. Numerical analysis of the stress jump interface condition for laminar flow over a porous layer. Numerical Heat Transfer A 2003; 43:603-617.
4. Costa VAF, Oliveira LA, Baliga BR, Sousa ACM. Simulation of coupled flows in adjacent porous and open domains using a control-volume finite-element method. Numerical Heat Transfer A 2004; 45:675-697.
5. Goyeau B, Lhuillier D, Gobin D, Velarde MG. Momentum transport at a fluid-porous interface. International Journal of Heat and Mass Transfer 2003; 46:4071-4081.
6. Nield DA. Discussion. ASME Journal of Heat Transfer 1997; 119:193-194.
7. Beavers GS, Joseph DD. Boundary conditions at a natural permeable wall. The Journal of Fluid Mechanics 1967; 30:197-207.
8. Neale G, Nader W. Practical significance of Brinkman's extension of Darcy's law: coupled parallel flows within a channel and a bounding porous medium. Canadian Journal of Chemical Engineering 1974; 52:475-478.
9. Vafai K, Kim SJ. Fluid mechanics of the interface region between a porous medium and a fluid layer an exact solution. International Journal of Heat and Fluid Flow 1990; 11:254-256.
10. Kim SJ, Choi CY. Convection heat transfer in porous and overlying layers heated from below. International Journal of Heat and Mass Transfer 1996; 39:319-329.
11. Ochoa-Tapia JA, Whitaker S. Momentum transfer at the boundary between a porous medium and a homogeneous fluid I: theoretical development. International Journal of Heat and Mass Transfer 1995; 38:2635-2646.
12. Ochoa-Tapia JA, Whitaker S. Momentum transfer at the boundary between a porous medium and a homogeneous fluid II: comparison with experiment. International Journal of Heat and Mass Transfer 1995; 38:2647-2655.
13. Ochoa-Tapia JA, Whitaker S. Momentum jump condition at the boundary between a porous medium and a homogeneous fluid: inertial effect. Journal of Porous Media 1998; 1:201-217.
14. Alazmi B, Vafai K. Analysis of fluid flow and heat transfer interfacial conditions between a porous medium and a fluid layer. International Journal of Heat and Mass Transfer 2001; 44:1735-1749.
15. Yu P, Lee TS, Zeng Y, Low HT. A numerical method for flows in porous and homogenous fluid domains coupled at the interface by stress jump. International Journal for Numerical Methods in Fluids 2007; 53:1755-1775.
16. Martys NS. Improved approximation of the Brinkman equation using a lattice Boltzmann method. Physics of Fluids 2001; 13:1807-1810.
17. Guo Z, Zhao TS. Lattice Boltzmann model for incompressible flows through porous media. Physical Review E 2002; 66:036304.
18. Pan C, Prins JF, Miller CT. A high-performance lattice Boltzmann implementation to model flow in porous media. Computer Physics Communications 2004; 158:89-105.
19. Wang J, Zhang X, Bengough AG, Crawford JW. Domain-decomposition method for parallel lattice Boltzmann simulation of incompressible flow in porous media. Physical Review E 2005; 72:016706.
20. Hou S, Zou Q, Chen S, Doolen GD, Cogley AC. Simulation of cavity flow by the lattice Boltzmann method. Journal of Computational Physics 1995; 118:329-347.
21. Guo Z, Zheng C, Shi B. Discrete lattice effects on the forcing term in the lattice Boltzmann method. Physical Review E 2002; 65:046308.
22. Guo Z, Zhao TS, Shi Y. Preconditioned lattice-Boltzmann method for steady flows. Physical Review E 2004; 70:066706.
23. Shi Y, Zhao TS, Guo Z. Lattice Boltzmann method for incompressible flows with large pressure gradients. Physical Review E 2006; 73:026704.
24. Chen S, Martinez D, Mei R. On boundary conditions in lattice Boltzmann methods. Physics of Fluids 1996; 8(9):2527-2536.
25. Guo Z, Zheng C, Shi B. An extrapolation method for boundary conditions in lattice Boltzmann method. Physics of Fluids 2002; 14:2007-2010.
26. Gartling DK, Hickox CE, Givler RC. Simulation of coupled viscous and porous flow problems. Computational Fluid Dynamics 1996; 7:23-48.
27. Betchen L, Straatman AG, Thompson BE. A nonequilibrium finite-volume model for conjugate fluid/porous/solid domains. Numerical Heat Transfer A 2006; 49:543-565.