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Spectral Method for One-Dimensional Radiative Transfer Equation

Author: ZhangDaWei
Tutor: LiBenWen
School: Northeastern University
Course: Engineering Thermophysics
Keywords: Radiation heat transfer Thermal conductivity Chebyshev collocation spectral method Semitransparent media
CLC: TK124
Type: Master's thesis
Year: 2008
Downloads: 53
Quote: 0
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Abstract


Has developed a lot of ways , regional , heat flux , the Monte Carlo method , discrete ordinates method for radiative transfer equations . Comprehensive view, based on the differential form of the radiative transfer equation discrete method has good adaptability , the traditional methods have advantages in solving the radiative transfer equation , but also has its own insurmountable disadvantage . The development of a high-precision , high efficiency , easy numerical solution of the radiative transfer equation method is still necessary . Good spectrum method can overcome the lack of low-level method , the calculation result with high accuracy can be efficiently obtained , and its calculation method is simple . This paper spectral method to solve the radiative heat transfer problems in semitransparent media , the main work is divided into two parts : 1 . Spectral method for solving the equation of radiative transfer in one-dimensional Cartesian coordinate system , respectively, do not consider the medium scattering and consider scattering two calculated to study the numerical stability of the method , and compared with the exact solution or other numerical solution methods . The results show that the spectral method is applicable to one-dimensional Cartesian coordinate radiative transfer equations , and has higher accuracy compared to other methods . 2 . Spectral method to solve the problem of radiation heat transfer in one-dimensional spherical coordinates as well as the problem of radiation and heat conduction coupled one-dimensional spherical coordinates . Comparison and error analysis verified spectral method is simple, efficient solution to high-precision radiation problem in one-dimensional spherical coordinates as well as radiation and conduction coupled spectral method for solving results with the results of the literature .

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CLC: > Industrial Technology > Energy and Power Engineering > Thermal engineering, heat > Thermal Engineering Theory > Heat Transfer
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