| Issue |
ESAIM: M2AN
Volume 58, Number 5, September-October 2024
|
|
|---|---|---|
| Page(s) | 2061 - 2077 | |
| DOI | https://doi.org/10.1051/m2an/2024072 | |
| Published online | 21 October 2024 | |
Model free collision aggregation for the computation of escape distributions
1
CEA-DAM-DIF, F-91297 Arpajon, France
2
CEREMADE, Université Paris Dauphine – PSL, 75116 Paris, France
* Corresponding author: Gabriel.Turinici@dauphine.fr
Received:
26
March
2024
Accepted:
19
September
2024
Motivated by a heat radiative transport equation, we consider a particle undergoing collisions in a space-time domain and propose a method to sample its escape time, space and direction from the domain. The first step of the procedure is an estimation of how many elementary collisions is safe to take before chances of exiting the domain are too high; then these collisions are aggregated into a single movement. The method does not use any model nor any particular regime of parameters. We give theoretical results both under the normal approximation and without it and test the method on some benchmarks from the literature. The results confirm the theoretical predictions and show that the proposal is an efficient method to sample the escape distribution of the particle.
Mathematics Subject Classification: 65C05 / 80M31 / 35Q49
Key words: Heat radiative transfer equation / Monte Carlo simulation / collision transport equations
© The authors. Published by EDP Sciences, SMAI 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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