Chebyshev collocation spectral method for radiative transfer in participating media with variable physical properties

2018 ◽  
Vol 88 ◽  
pp. 48-56 ◽  
Author(s):  
Guo-jun Li ◽  
Lin-Yang Wei
Keyword(s):  
Radiative Transfer ◽  
Physical Properties ◽  
Spectral Method ◽  
Participating Media ◽  
Chebyshev Collocation ◽  
Collocation Spectral Method

Chebyshev Collocation Spectral Method for Three-Dimensional Transient Coupled Radiative–Conductive Heat Transfer

2012 ◽  
Vol 134 (9) ◽  
Author(s):  
Ya-Song Sun ◽  
Jing Ma ◽  
Ben-Wen Li
Keyword(s):  
Heat Transfer ◽  
Spectral Method ◽  
Three Dimensional ◽  
Conservation Equation ◽  
Conductive Heat Transfer ◽  
Discrete Ordinates ◽  
Conductive Heat ◽  
Chebyshev Collocation ◽  
Energy Conservation Equation ◽  
Collocation Spectral Method

Abstract A Chebyshev collocation spectral method (CSM) is presented to solve transient coupled radiative and conductive heat transfer in three-dimensional absorbing, emitting, and scattering medium in Cartesian coordinates. The walls of the enclosures are considered to be opaque, diffuse, and gray and have specified temperature boundary conditions. The CSM is adopted to solve both the radiative transfer equation (RTE) and energy conservation equation in spatial domain, and the discrete ordinates method (DOM) is used for angular discretization of RTE. The exponential convergence characteristic of the CSM for transient coupled radiative and conductive heat transfer is studied. The results using the CSM show very satisfactory calculations comparing with available results in the literature. Based on this method, the effects of various parameters, such as the scattering albedo, the conduction–radiation parameter, the wall emissivity, and the optical thickness, are analyzed.

scholarly journals A novel Chebyshev-collocation spectral method for solving the transport equation

2017 ◽  
Vol 13 (5) ◽  
pp. 0-0
Author(s):  
Zhonghui Li ◽  
◽  
Xiangyong Chen ◽  
Jianlong Qiu ◽  
Tongshui Xia ◽  
...  
Keyword(s):  
Transport Equation ◽  
Spectral Method ◽  
Chebyshev Collocation ◽  
Collocation Spectral Method
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