Multi-frequency implicit semi-analog Monte-Carlo (ISMC) radiative transfer solver in two-dimensions (without teleportation)

Elad Steinberg*, Shay I. Heizler

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


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 (Poëtte 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.

Original languageAmerican English
Article number110806
Pages (from-to)110806
Number of pages1
JournalJournal of Computational Physics
StatePublished - 1 Feb 2022

Bibliographical note

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  • Boltzmann equation
  • Monte-Carlo schemes
  • Radiative transfer


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