A regularized lattice Bhatnagar–Gross–Krook model for flow and heat transfer in porous media at the representative element volume scale is presented. In the model, the regularization process is extended to the existing Darcy–Forchheimer-based lattice Bhatnagar–Gross–Krook scheme. Numerical results show good agreement between the present model and the previous ones. Also, the present model shows better numerical stability than its lattice Bhatnagar–Gross–Krook counterpart.
VafaiK. Convective flow and heat transfer in variable-porosity media. J Fluid Mech1984; 147: 233–259.
2.
NithiarasuPSeetharamuKNSundararajanT. Natural convective heat transfer in a fluid saturated variable porosity medium. Int J Heat Mass Transfer1997; 40: 3955–3967.
3.
OztopHFPopIVarolY. Natural convection in porous media-filled triangular enclosure with a conducting thin fin on the hot vertical wall. Proc IMechE, Part C: J Mechanical Engineering Science2008; 222: 1735–1743.
4.
SajediMNassabSAGJavaranEJ. Thermal analysis of a three-layered radiant porous heat exchanger including fluid flow simulation. Proc IMechE, Part C: J Mechanical Engineering Science2014; 228: 1375–1390.
5.
ChenSDoolenGD. Lattice Boltzmann method for fluid flows. Annu Rev Fluid Mech1998; 30: 329–364.
6.
AminfarHMohammadpourfardM. Lattice Boltzmann BGK model for gas flow in a microchannel. Proc IMechE, Part C: J Mechanical Engineering Science2008; 222: 1855–1860.
7.
AidunCKClausenJR. Lattice-Boltzmann method for complex flows. Annu Rev Fluid Mech2009; 42: 439–472.
8.
TianFBLuoHZhuLet al.An efficient immersed boundary-lattice Boltzmann method for the hydrodynamic interaction of elastic filaments. J Comput Phys2011; 230: 7266–7283.
9.
WangYSunDKHeYLet al.Lattice Boltzmann study on thermoacoustic onset in a Rijke tube. Eur Phys J Plus2015; 130: 1–10.
10.
LiQLuoKHKangQJet al.Lattice Boltzmann methods for multiphase flow and phase-change heat transfer. Prog Energy Combust Sci2015; 52: 62–105.
11.
TangGHTaoWQHeYL. Gas slippage effect on microscale porous flow using the lattice Boltzmann method. Phys Rev E2005; 72: 056301–056301.
12.
KangQLichtnerPCZhangD. An improved lattice Boltzmann model for multicomponent reactive transport in porous media at the pore scale. Water Resour Res2007; 43: 2578–2584.
13.
YangPPWenZDouRFet al.Effect of random structure on permeability and heat transfer characteristics for flow in 2D porous medium based on MRT lattice Boltzmann method. Phys Lett A2016; 380: 2902–2911.
14.
ZhaoJYaoJZhangMet al.Study of gas flow characteristics in tight porous media with a microscale lattice Boltzmann model. Sci Rep2016; 6: 32393–32393.
15.
GuoZZhaoTS. Lattice Boltzmann model for incompressible flows through porous media. Phys Rev E2002; 66: 036304–036304.
16.
GuoZZhaoTS. A lattice Boltzmann model for convection heat transfer in porous media. Numer Heat Transfer B2005; 47: 157–177.
17.
ChenLFangWZKangQJet al.Generalized lattice Boltzmann model for flow through tight porous media with Klinkenberg’s effect. Phys Rev E2015; 91: 033004–033004.
18.
LallemandPLuoLS. Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability. Phys Rev E2000; 61: 6546–6546.
19.
LiuQHeYL. Multiple-relaxation-time lattice Boltzmann modeling of incompressible flows in porous media. Physica A2015; 429: 215–230.
20.
LattJChopardB. Lattice Boltzmann method with regularized pre-collision distribution functions. Math Comput Simul2006; 72: 165–168.
21.
MontessoriAFalcucciGPrestininziPet al.Regularized lattice Bhatnagar-Gross-Krook model for two-and three-dimensional cavity flow simulations. Phys Rev E2014; 89: 053317–053317.
22.
WangLChaiZHShiBC. Regularized lattice Boltzmann simulation of double-diffusive convection of power-law nanofluids in rectangular enclosures. Int J Heat Mass Transfer2016; 102: 381–395.
23.
WangLShiBCChaiZH. Regularized lattice Boltzmann model for a class of convection-diffusion equations. Phys Rev E2015; 92: 043311–043311.
24.
GuoZLShiBCZhengCG. Non-equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method. Chin Phys B2002; 11: 366–374.
