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首页> 外文期刊>International Journal of Heat and Mass Transfer >Performance evaluation of four radiative transfer methods in solving multi-dimensional radiation and/or conduction heat transfer problems
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Performance evaluation of four radiative transfer methods in solving multi-dimensional radiation and/or conduction heat transfer problems

机译：四种辐射传递方法解决多维辐射和/或传导传热问题的性能评估

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摘要

This article reports results of the four popular and widely used numerical methods, viz., the Monte Carlo method (MCM), the discrete transfer method (DTM), the discrete ordinates method (DOM) and the finite volume method (FVM) used to calculate radiative information in any thermal problem. Different classes of problems dealing with radiation and/or conduction heat transfer problems in a 2-D rectangular absorbing, emitting and scattering participating medium have been considered. In radiative equilibrium and non-radiative equilibrium cases, the MCM results have been used as the benchmark data for compar ing the performances of the DTM, the DOM and the FVM. In the combined radiation and conduction mode problem, the energy equation has been formulated using the lattice Boltzmann method (LBM). To com pare the performance of the DTM, the DOM and the FVM, the required radiative field data computed using these methods have been provided to the LBM formulation. Temperature distributions obtained using the four methods and those obtained from the LBM in conjunction with the DTM, the DOM and the FVM have been compared for different parameters such as the extinction coefficient, the scattering albedo, the conduction-radiation parameter, the wall emissivity, the aspect ratio and heat generation rate. In all the cases, results of these methods have been found in good agreements. Computationally, the DTM was found the most time consuming, and the DOM was computationally the most efficient.
机译：本文报告了四种流行且广泛使用的数值方法的结果，即蒙特卡罗方法（MCM），离散传递方法（DTM），离散纵坐标方法（DOM）和有限体积方法（FVM）计算任何热问题中的辐射信息。已经考虑了在二维矩形吸收，发射和散射参与介质中处理辐射和/或传导热传递问题的不同类别的问题。在辐射平衡和非辐射平衡的情况下，MCM结果已用作比较DTM，DOM和FVM性能的基准数据。在辐射与传导模式相结合的问题中，已使用晶格玻尔兹曼方法（LBM）公式化了能量方程。为了比较DTM，DOM和FVM的性能，已将使用这些方法计算出的所需辐射场数据提供给LBM公式。比较了使用四种方法获得的温度分布以及从LBM结合DTM，DOM和FVM获得的温度分布的不同参数，例如消光系数，散射反照率，传导辐射参数，壁发射率，长宽比和发热率。在所有情况下，已经很好地发现了这些方法的结果。通过计算，发现DTM最耗时，而DOM在计算上最高效。

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