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Solutions of Chandrasekhar’s basic problem in radiative transfer via theory of functional connections
Journal of Quantitative Spectroscopy and Radiative Transfer ( IF 2.3 ) Pub Date : 2020-10-14 , DOI: 10.1016/j.jqsrt.2020.107384
Mario De Florio , Enrico Schiassi , Roberto Furfaro , Barry D. Ganapol , Domiziano Mostacci

We present a novel approach to solving Chandrasekhar’s problem in radiative transfer using the recently developed Theory of Functional Connections. The method is designed to elegantly and accurately solve the Linear Boundary Value Problem from the angular discretization of the integrodifferential Boltzmann equation for Radiative Transfer. The proposed algorithm falls under the category of numerical methods for the solution of radiative transfer equations. This new method’s accuracy is tested via comparison with the published benchmarks for Mie and Haze L scattering laws.



中文翻译:

通过功能连接理论解决钱德拉塞卡(Chandrasekhar)辐射传递中的基本问题

我们提出了一种使用最近开发的功能连接理论来解决钱德拉塞卡(Chandrasekhar)辐射传递问题的新颖方法。该方法旨在通过积分微分Boltzmann方程用于辐射传递的角离散化,优雅而准确地解决线性边值问题。所提出的算法属于辐射传递方程解的数值方法类别。通过与已发布的Mie和Haze L散射定律基准进行比较,测试了该新方法的准确性。

更新日期:2020-11-03
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