2016
DOI: 10.1103/physreve.94.023312
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Lattice Boltzmann model for a steady radiative transfer equation

Abstract: A complete lattice Boltzmann model (LBM) is proposed for the steady radiative transfer equation (RTE). The RTE can be regarded as a pure convection equation with a source term. To derive the expressions for the equilibrium distribution function and the relaxation time, an artificial isotropic diffusion term is introduced to form a convection-diffusion equation. When the dimensionless relaxation time has a value of 0.5, the lattice Boltzmann equation (LBE) is exactly applicable to the original steady RTE. We al… Show more

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Cited by 39 publications
(4 citation statements)
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“…Lattice Boltzmann method (LBM) has been introduced as an efficient numerical method for simulating fluid flows and heat transfer in fluids, recently [1][2][3][4][5]. LBM has lots of advantages such as providing a physical meaning of a problem, simple computer implementation as well as parallel programming, easy employing for complicated geometries and boundary conditions and accurate results [2,6,7].…”
Section: Introductionmentioning
confidence: 99%
“…Lattice Boltzmann method (LBM) has been introduced as an efficient numerical method for simulating fluid flows and heat transfer in fluids, recently [1][2][3][4][5]. LBM has lots of advantages such as providing a physical meaning of a problem, simple computer implementation as well as parallel programming, easy employing for complicated geometries and boundary conditions and accurate results [2,6,7].…”
Section: Introductionmentioning
confidence: 99%
“…Numerical investigations have sought to optimize the size parameters and size distribution of particles to maximize solar reflection. [ 68 , 77 , 78 ] To analyze different particle coating designs with large thickness, various simulation tools such as Monte Carlo simulation, [ 79 , 80 , 81 ] Lattice Boltzman model, [ 82 , 83 ] finite element method, [ 77 ] and finite‐difference‐time‐domain [ 84 ] have been used. Other approaches include using multiple materials such as mixing different particles [ 41 , 72 ] or utilizing core–shell structures [ 81 , 85 ] for complete back‐scattering.…”
Section: Materials and Structure Designsmentioning
confidence: 99%
“…Particularly, no studies have employed a polydisperse sphere model with continuous size values or considered the binder material. Other numerical methods, such as Monte Carlo , or Lattice Boltzmann model, , have also been employed to solve the radiative heat transfer equations to predict the optical properties of coatings. However, these methods do not consider the random scattering effects of the individual particle geometry.…”
Section: Introductionmentioning
confidence: 99%