Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 450, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2021.110806
Keywords
Radiative transfer; Boltzmann equation; Monte-Carlo schemes
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This study investigates the multi-dimensional radiative transfer phenomena using the ISMC scheme, including gray and multi-frequency problems. A new implicit scheme based on the semi-analog scheme is introduced and tested, showing the elimination of teleportation errors.
We study the multi-dimensional radiative transfer phenomena using the ISMC scheme, in both gray and multi-frequency problems. Implicit Monte-Carlo (IMC) schemes have been in use for five decades. The basic algorithm yields teleportation errors, where photons propagate faster than the correct heat front velocity. Recently (Poette and Valentin, 2020 [22]), a new implicit scheme based on the semi-analog scheme was presented and tested in several one-dimensional gray problems. In this scheme, the material energy of the cell is carried by material-particles, and the photons are produced only from existing material particles. As a result, the teleportation errors vanish, due to the infinite discrete spatial accuracy of the scheme. We examine the validity of the new scheme in two-dimensional problems, both in Cartesian and Cylindrical geometries. Additionally, we introduce an expansion of the new scheme for multi-frequency problems. We show that the ISMC scheme presents excellent results without teleportation errors in a large number of benchmarks, especially against the slow classic IMC convergence. (C) 2021 Elsevier Inc. All rights reserved.
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