Arizona-Los Alamos Days 2020

Accurate Solutions of the Radiative Transfer Problem via Theory of Connections

M. De Florio, E. Schiassi, R. Furfaro, B. D. Ganapol

In this work, we present a new approach to solving the Chandrasekhar's problem in radiative transfer using the recently developed Theory of Functional Connections. The method is designed to efficiently and accurately solve the Linear One-Point Boundary Value Problem arising from the integro-differential Boltzmann equation for Radiative Transfer. The proposed algorithm follows under the category of numerical methods for the solution of Transport Equations.

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