A New Scheme for Solving High-Order DG Discretizations of Thermal Radiative Transfer using the Variable Eddington Factor Method

Autor:	Yee, Ben C., Olivier, Samuel S., Southworth, Ben S., Holec, Milan, Haut, Terry S.
Rok vydání:	2021
Předmět:	Physics - Computational Physics
Druh dokumentu:	Working Paper
Popis:	We present a new approach for solving high-order thermal radiative transfer (TRT) using the Variable Eddington Factor (VEF) method (also known as quasidiffusion). Our approach leverages the VEF equations, which consist of the first and second moments of the $S_N$ transport equation, to more efficiently compute the TRT solution for each time step. The scheme consists of two loops - an outer loop to converge the Eddington tensor and an inner loop to converge the iteration between the temperature equation and the VEF system. By converging the outer iteration, one obtains the fully implicit TRT solution for the given time step with a relatively low number of transport sweeps. However, one could choose to perform exactly one outer iteration (and therefore exactly one sweep) per time step, resulting in a semi-implicit scheme that is both highly efficient and robust. Our results indicate that the error between the one-sweep and fully implicit variants of our scheme may be small enough for consideration in many problems of interest. Comment: Submitted to the American Nuclear Society Mathematics & Computation 2021 Conference (The International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, Raleigh, North Carolina, October 3-7, 2021)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2104.07826 Zobrazit plný text záznamu View this record from Arxiv