[1] Grucelski A, Pozorski J (2012) Lattice Boltzmann simulation of fluid flow in porous media of temperature-affected geometry. Jof Theoretical and Applied Mech50: 193–214.
[2] Kefayati G, Hosseinizadeh S, Gorji M, Sajjadi H (2011) Lattice Boltzmann simulation of natural convection in tall enclosures using water/SiO2 nanofluid. Int Communications in Heat and Mass Transfer 38: 798–805.
[3] Peng Y, Shu C, Chew YT (2003) Simplified thermal lattice Boltzmann model for incompressible thermal flows. Physical Review E 68: 026701-1-8.
[4] Yang YT, Lai FH (2011) Numerical study of flow and heat transfer characteristics of alumina-water nanofluids in a microchannel using the lattice Boltzmann method. Int Communications in Heat and Mass Transfer 38: 607–614.
[5]Kandlikar SG, Garimella S, Li D, Colin S, King M (2006) Heat transfer and fluid flow in minichannels and microchannels. First ed., Britain: Elsevier.
[6] Karimipour A, HosseinNezhad A, D’Orazio A, Shirani E (2012) Investigation of the gravity effects on the mixed convection heat transfer in a microchannel using lattice Boltzmann method. Int Journal of Thermal Sciences 54: 142–152.
[7] Niu XD, Shu C, Chew YT (2007) A thermal lattice Boltzmann model with diffuse scattering boundary condition for micro thermal flows. Comput Fluids 36: 273–281.
[8] Tian Z, Chen S, Zheng CG (2010) Lattice Boltzmann simulation of gaseous finite-Knudsen microflows. Int J Mod Phys 21: 769–783.
[9] Chen H, Chen S, Mathaaeus WM (1992) Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method. Physical Review A 45: 5339–5342.
[10] Chen S, Doolen G (1998) Lattice Boltzmann method for fluid flows. Annual Rev Fluid Mech 30: 329–364.
[11] Oran ES, Oh CK, Cybyk BZ (1998) Direct Simulation Monte Carlo: Recent Advances and Applications. Ann Rev Fluid Mech 30: 403–441.
[12] نظری م، شکری ح (1392) جابهجائی آزاد در محفظههای نیم بیضی با نسبت شعاعی متغیر به روش بولتزمن شبکهای، مجله علمی پژوهشی مهندسی مکانیک مدرس 13(10): 1-13.
[13] Mohamad AA (2011) Lattice Boltzmann Method Fundamentals and Engineering Applications with Computer Codes.Springer, Canada.
[14] He X, Luo LS (1997) Lattice Boltzmann Model for the Incompressible Navier-Stokes Equation. J of Statistical Phy 88: 927–944.
[15] Buick JM, Greated CA (2000) Gravity in a lattice Boltzmann model. Phys Review E 61: 5307–5319.
[16] نظری م، کیهانی م ح، انارکی حاجی باقری آ (1392) مقایسه انتقال حرارت در یک محفظه بسته دارای لایه متخلخل عمودی و افقی به روش شبکه بولتزمن، مجله علمی پژوهشی مهندسی مکانیک مدرس 13(8): 93-107.
[17] نظری م، کیهانی م ح، شکری ح (1392) روش بولتزمنشبکهای برای مدلسازی محفظههای با مرز مایل و متحرک، مجله علمی پژوهشی مهندسی مکانیک مدرس 13(5): 117-129.
[18] Kao PH, Yang RJ (2008) An investigation into curved and moving boundary treatments in the lattice Boltzmann method. Journal of Computational Physics 227: 5671–5690.
[19] Peng G, Xi H, Duncan C, Chou SH (1999) Finite volume scheme for the lattice Boltzmann method on unstructured meshes. Phys Rev E 59: 4675–4682.
[20] Cheng M, Hung KC (2002) Lattice Boltzmann method on nonuniform mesh. Recent Advances In Computational Science And Engineering: 196–199.
[21] Ubertini S, Succi S (2008) A Generalised Lattice Boltzmann Equation on Unstructured Grids.Communications in Computational Physics 3: 342–356.
[22] He X, Chen S, Doolen G (1998) A novel thermal model for the lattice Boltzmann method in incompressible limit. J of Comp Phys 146: 282–300.
[23] Guo Z, Zheng C, Shi B, Zhao TS (2007) Thermal lattice Boltzmann equation for low Mach number flows: Decoupling model. Phys Rev E 75: 1–15.
[24] Mezrhab A, Jami M, Abid C, Bouzidi M, Lallemand P (2006) Lattice-Boltzmann modelling of natural convection in an inclined square enclosure with partitions attached to its cold wall. Int J of Heat and Fluid Flow 27: 456–465.
[25] Jafari M, Naysari A, Bodaghi K (2011) Lattice Boltzmann Simulation of Natural Convection Heat Transfer in an Inclined Open Ended Cavity. World Academy of Science Engineering and Technology 78: 493–498.
[26] Sharif MAR (2007) Laminar mixed convection in shallow inclined driven cavities with hot moving lid on top and cooled from bottom. Applied Thermal Engineering 27: 1036–1042.
[27] Basak T, Roy S, Sharma PK, Pop I (2009) Analysis of mixed convection flows within a square cavity with linearly heated side wall(s). Int J of Heat and Mass Transfer 52: 2224–2242.
[28] Sivasankaran S, Sivakumar V, Prakash P (2010) Numerical study on mixed convection in a lid-driven cavity with non-uniform heating on both sidewalls. Int J of Heat and Mass Transfer 53: 4304–4315.
[29] Kao PH, Yang RJ (2007) Simulating oscillatory flows in Rayleigh–Bénard convection using the lattice Boltzmann method. Int J of Heat and Mass Transfer 50: 3315–3328.
[30] Parmigiani A, Huber C, Chopard B, Latt J, Bachmann O (2009) Application of the multi distribution function lattice Boltzmann approach to thermal flows. EurPhys J Special Topics 171: 37–43.
[31] Guo Y, Bennacer R, Shen S, Ameziani D, Bouzidi M (2010) Simulation of mixed convection in slender rectangular cavity with lattice Boltzmann method. Int J of Numerical Methods for Heat & Fluid Flow 20: 130–148.
[32] Fattahi E, Farhadi M, Sedighi K (2011) Lattice Boltzmann simulation of mixed convection heat transfer in eccentric annulus. Int Communications in Heat and Mass Transfer 38: 1135–1141.
[33] Du HY, Chai ZH, Shi BC (2011) Lattice Boltzmann study of mixed convection in a cubic cavity. CommunTheorPhys 56: 144–150.
[34] Rosdzimin ARM, Zuhairi SM, Azwadi CSN (2010) Simulation of mixed convective heat transfer using lattice Boltzmann method.Int J of Automotive and Mechanical Engineering 2: 130–143.
[35] Qian Y, Humières D, Lallemand P (1992) Lattice BGK models for Navier–Stokes equation. EurophysLett 17: 479–484.
[36] Bhatnagar PL, Gross EP, Krook M (1954) A model for collision process in gases. I. Small amplitude processes in charged and neutral one-component system. Phys Rev 94: 511–1954.
[37] Kuznik F, Vareilles J, Rusaouen G, Krauss G (2007) A double-population lattice Boltzmann method with non-uniform mesh for the simulation of natural convection in a square cavity. International Journal of Heat and Fluid Flow 28: 862–870.
[38] D’Orazio A, Corcione M, Celata G (2004) Application to natural convection enclosed flows of a lattice Boltzmann BGK model coupled with a general purpose thermal boundary condition. Int J of Thermal Science 43: 575–586.
[39] Zou Q, He X (1997) On pressure and velocity boundary conditions for the lattice Boltzmann BGK model. Phys Fluids 9: 1591–1598.
[40] D’Orazio A, Succi S, Arrighetti C (2003) Lattice Boltzmann simulation of open flows with heat transfer. Phys of Fluids 15: 2778-2780.
[41] Davis GV (1983) Natural convection of air in a square cavity: a benchmark numerical solution. Int J Numer Methods Fluids 3: 249–264.
[42] Iwatsu R, Hyun JM, Kuwahara K (1993) Mixed convection in a driven cavity with a stable vertical temperature gradient. Int J Heat Mass Transfer 36: 1601–1608.
[43] Habchi S, Acharya S (1986) Laminar mixed convection in a partially blocked, vertical channel. Int J Heat Mass Transfer 29: 1711–1722.