Abstract
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 language | English |
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Article number | 110806 |
Pages (from-to) | 110806 |
Number of pages | 1 |
Journal | Journal of Computational Physics |
Volume | 450 |
DOIs | |
State | Published - 1 Feb 2022 |
Keywords
- Boltzmann equation
- Monte-Carlo schemes
- Radiative transfer
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics
- Numerical Analysis
- General Physics and Astronomy
- Computer Science Applications
- Modelling and Simulation
- Physics and Astronomy (miscellaneous)