Computational efficiency improvements of the radiative transfer problems with or without conduction––a comparison of the collapsed dimension method and the discrete transfer method

Mishra, Subhash C.; Talukdar, Prabal; Trimis, D.; Durst, F.

doi:10.1016/s0017-9310(03)00075-9

Cited by 80 publications

(45 citation statements)

References 15 publications

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“…In Figure 7(a)-(e), we establish the validity of our formulation by comparing results of centerline (x/ X = 0.5, y/Y ) temperature = T /T ref using the direct and inverse methods. Results of the direct method in all the cases have been validated against benchmark results given in References [28][29][30]. In each of the Figures 6(a)-(e), for a given set of parameters, the south boundary heat flux T,S distribution is computed using the direct method, which in the inverse method serves as the imposed heat flux boundary condition at the south boundary.…”

Section: Results Of the Conduction-radiation Problem In A 2-d Square mentioning

confidence: 99%

The lattice Boltzmann method and the finite volume method applied to conduction–radiation problems with heat flux boundary conditions

Mondal

Mishra

2008

Numerical Meth Engineering

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SUMMARYThis article deals with the implementation of the lattice Boltzmann method (LBM) in conjunction with the finite volume method (FVM) for the solution of conduction-radiation problems with heat flux and temperature boundary conditions. Problems in 1-D planar and 2-D rectangular geometries have been considered. The radiating-conducting participating medium is absorbing, emitting and scattering. In the 1-D planar geometry, the south boundary is subjected to constant heat flux, while in the 2-D geometry the south and/or the north boundary is at constant heat flux condition. The remaining boundaries are at prescribed temperatures. The energy equation is solved using the LBM and the radiative information for the same is computed using the FVM. In the direct method, by prescribing temperatures at the boundaries, the temperature profile and heat flux are calculated. The computed heat flux values are imposed at the boundaries to establish the correctness of the numerical code in the inverse method. Effects of various parameters such as the extinction coefficient, the scattering albedo, the conduction-radiation parameter, the boundary emissivity and the total heat flux and boundary temperatures are studied on the distributions of temperature, radiative and conductive heat fluxes. The results of the LBM in conjunction with the FVM have been found to compare very well with those available in the literature.

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Section: Results Of the Conduction-radiation Problem In A 2-d Square mentioning

confidence: 99%

The lattice Boltzmann method and the finite volume method applied to conduction–radiation problems with heat flux boundary conditions

Mondal

Mishra

2008

Numerical Meth Engineering

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“…Some typical numerical methods used for the solution of radiative transfer equation are the spherical harmonic method (Menguc and Viskata 1986), the Monte Carlo method (MCM) (Modest 2003), Hottel and Sarofim's zonal method (Hottel and Sarofim 1967), eigen function method (Frankel 1995), F-N method (Siewert et al 1980), the discrete ordinates method (DOM) (Lemonnier and Le Dez 2002), the discrete transfer method (DTM) (Mishra et al 2003), and P-N method (Benassi et al 1983).…”

Section: Introductionmentioning

confidence: 99%

Transient Combined Radiative–Conductive Heat Transfer in Two-Dimensional Complex Geometries with Variable Gas Properties

Zare

Nassab

2016

Iran. J. Sci. Technol. Trans. Mech. Eng.

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Radiation is a major component of heat transfer in the modeling of furnaces. In the present work, transient coupled radiative and conductive heat transfer problems are analyzed in two-dimensional irregular geometries with a simple Cartesian practical method named the blockedoff. By this technique, Cartesian coordinate-based raytracing algorithm can be applied to the geometries with inclined or curved boundaries. The S-N discrete ordinates method used to solve the radiative transfer equation and finite difference method by applying the Taylor series for solving the energy equation to obtain the transient temperature distributions inside the participating medium. The walls of the enclosures are opaque, diffuse, and gray with specified temperatures. The medium was considered to be absorbing-emitting and linear anisotropic scattering with variable thermal conductivity, variable density, and variable specific heat, as a function of temperature. In the case of constant thermophysical gas properties, results have been compared with those reported in the literature, and good agreement was found.

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“…The cases of constant thermal conductivity and unity refractive index in combined conduction-radiation heat transfer problems have been studied in detail by many investigators [1][2][3][4][5]. Because of the mathematical complexities, a limited literature is available that individually deal with the effects of variable thermal conductivity [6] and constant and/or variable refractive index [7].…”

Section: Introductionmentioning

confidence: 99%

Analysis of Conduction-Radiation Heat Transfer With Variable Thermal Conductivity and Variable Refractive Index: Application of the Lattice Boltzmann Method

Mahmoudi¹,

Mejri²

2015

IJHT

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The effect of variable thermal conductivity and variable refractive index on transient conduction and radiation heat transfer in a planar medium is investigated. Thermal conductivity of the medium is assumed to vary linearly with temperature, while the other thermo-physical properties are assumed constant. The radiative transfer equation and the nonlinear energy equation are solved using lattice Boltzmann method (LBM). The effects of various parameters are studied. The LBM results are compared with those available in literature and a good agreement is found.

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Computational efficiency improvements of the radiative transfer problems with or without conduction––a comparison of the collapsed dimension method and the discrete transfer method

Cited by 80 publications

References 15 publications

The lattice Boltzmann method and the finite volume method applied to conduction–radiation problems with heat flux boundary conditions

The lattice Boltzmann method and the finite volume method applied to conduction–radiation problems with heat flux boundary conditions

Transient Combined Radiative–Conductive Heat Transfer in Two-Dimensional Complex Geometries with Variable Gas Properties

Analysis of Conduction-Radiation Heat Transfer With Variable Thermal Conductivity and Variable Refractive Index: Application of the Lattice Boltzmann Method

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