Chen S and Doolen G D 1998 Latice Boltzmann method for fluid flows. Ann. Rev. Fluid Mech. 30(1): 329–364
Succi S 2001 The lattice Boltzmann equation: for fluid dynamics and beyond. UK: Clarendon Press
Yi H L, Yao F J and Tan H P 2016 Lattice Boltzmann model for a steady radiative transfer equation. Phys. Rev. E 90(2): 023312
Keshtkar M M and Amiri B 2018 Numerical simulation of radiative–conductive heat transfer in an enclosure with an isotherm obstacle. Heat Transf. Eng. 39(1): 72–83
Mondal B and Chatterjee D 2012 Lattice Boltzmann simulation of heat conduction problems in non-isothermally heated enclosures. Heat Transf. Asian Res. 31(2): 127–144
Mondal B and Mishra S C 2009 The lattice Boltzmann method and the finite volume method applied to conduction–radiation problems with heat flux boundary conditions. Int. J. Numer. Methods Eng. 78(2): 172–195
Sajjadi H and Kefayati G R MHD turbulent and laminar natural convection in a square cavity utilizing Lattice Boltzmann Method. Heat Transf. Asian Res. 45(8): 795–814
Baghban M, Mansouri S H and Shams Z 2014 Inverse radiation–conduction estimation of temperature-dependent emissivity using a combined method of genetic algorithm and conjugate gradient. J. Mech. Sci. Technol. 28(2): 739–745
Siegel R 2001 Thermal radiation heat transfer, 4th edtion. USA: Taylor & Francis
Ho J R, Kuo C P, Jiaung W S and Twu C J 2002 Lattice Boltzmann scheme for hyperbolic heat conduction equation. Numer. Heat Transf. Part B Fundam. 41(6): 591–607
Jiaung W S, Ho J R and Kuo C P 2001 Lattice Boltzmann method for the heat conduction problem with phase change. Numer. Heat Transf. Part B Fundam. 39(2): 167–187
Fiveland W 1984 Discrete-ordinates solutions of the radiative transport equation for rectangular enclosures. J. Heat Transf. 106(4): 699–706
Truelove J 1988 Three-dimensional radiation in absorbing–emitting-scattering media using the discrete-ordinates approximation. J. Quant. Spectrosc. Radiat. Transf. 39(1): 27–31
Fiveland W 1988 Three-dimensional radiative heat-transfer solutions by the discrete-ordinates method. J. Thermophys. Heat Transf. 2(4): 309–316
Keshtkar M M, Gandjalikhan Nassab S A and Nasr M R J 2009 Heat transfer characteristics of a cylindrical porous radiant air heater under the influence of a two-dimensional axisymmetric radiative field. Proc. Inst. Mech. Eng. Part A J. Power Energy 223(8): 913–923
Keshtkar M M and Gandjalikhan Nassab S A 2009 Theoretical analysis of porous radiant burners under 2D radiation field using discrete ordinates method. J. Quant. Spectrosc. Radiat. Transf. 110(17): 1894–1907
Ansari A and Gandjalikhan Nassab S A 2013 Forced convection of radiating gas over an inclined backward facing step using the blocked-off method. Therm. Sci. 17(3): 773–786
Murakami S and Asako Y 2013 A finite volume method on distorted quadrilateral meshes for discretization of the energy equation’s conduction term. Heat Transf. Asian Res. 42(2): 163–184
Sun Y, Zhang, X and Howell J R 2016 Evaluation of three different radiative transfer equation solvers for combined conduction and radiation heat transfer. J. Quant. Spectrosc. Radiat. Transf. 184: 262–273
Hunter B and Guo Z 2016 Improved treatment of anisotropic scattering in radiation transfer analysis using the finite volume method. Heat Transf. Eng. 37(4): 341–350
Chai J C, Lee H S and Patankar S V 1994 Finite volume method for radiation heat transfer. J. Thermophys. Heat Transf. 8(3): 419–425
Asghari A, Gandjalikhan Nassab S A and Ansari A 2015 Numerical study of combined radiation and turbulent mixed convection heat transfer in a compartment containing participating media. J. Mech. 31(4): 467–480
Mishra S C and Sahai H 2014 Analysis of non-Fourier conduction and volumetric radiation in a concentric spherical shell using lattice Boltzmann method and finite volume method. Int. J. Heat Mass Transf. 68: 51–66
Sun Y and Zhang X 2016 Analysis of transient conduction and radiation problems using lattice Boltzmann and finite volume methods. Int. J. Heat Mass Transf. 97: 611–617
Mishra S C and Lankadasu A 2005 Transient conduction-radiation heat transfer in participating media using the lattice Boltzmann method and the discrete transfer method. Numer. Heat Transf. Part A Appl. 47(9): 935–954
Mondal B and Mishra S C 2008 Lattice Boltzmann method applied to the solution of the energy equations of the transient conduction and radiation problems on non-uniform lattices. Int. J. Heat Mass Transf. 51(1): 68–82
Mondal B and Mishra S C 2009 Analysis of 3-D conduction-radiation heat transfer using the Lattice Boltzmann method. J. Thermophys. Heat Transf. 23(1): 210–216
Mishra S C, Poonia H, Vernekar R R and Das A K 2014 Lattice Boltzmann method applied to radiative transport analysis in a planar participating medium. Heat Transf. Eng. 35(15): 1267–1278
Mondal B and Chatterjee D 2012 Lattice Boltzmann simulation of heat conduction problems in non-isothermally heated enclosures. Heat Transf. Asian Res. 41(2):127–144
Sun Y and Zhang X 2015 Analysis of transient conduction and radiation problems using the lattice Boltzmann and discrete ordinates methods. Numer. Heat Transf. Part A Appl. 68(6): 619–637
Sasmal A and Mishra S C 2016 Analysis of conduction and radiation heat transfer in a differentially heated 2‐D square enclosure. Heat Transf. Asian Res. 46(4): 384–408
Mishra S C and Roy H K 2007 Solving transient conduction and radiation heat transfer problems using the lattice Boltzmann method and the finite volume method. J. Comput. Phys. 223(1): 89–107