Fluid boundary conditions in kinetic-diffusion Monte Carlo

Fuente: arXiv
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Main Authors: Steel, Thijs, Maes, Vince, Samaey, Giovanni
Format: Preprint
Published: 2025
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author Steel, Thijs
Maes, Vince
Samaey, Giovanni
author_facet Steel, Thijs
Maes, Vince
Samaey, Giovanni
contents The Kinetic-Diffusion Monte Carlo (KDMC) method is a powerful tool for simulating neutral particles in fusion reactors. It is a hybrid fluid-kinetic method that is significantly faster than pure kinetic methods at the cost of a small bias due to fluid approximations. Unfortunately, when simulating particles close to a boundary, it needs to switch to a purely kinetic method, which is significantly slower. In this paper, we will extend the method so that it can accurately take boundary conditions into account without switching to a purely kinetic method. Experiments show that this extension can lead to a speedup of up to 500 times compared to a KDMC method that switches to a purely kinetic method, while not sacrificing too much accuracy.
format Preprint
id arxiv_https___arxiv_org_abs_2509_03942
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Fluid boundary conditions in kinetic-diffusion Monte Carlo
Steel, Thijs
Maes, Vince
Samaey, Giovanni
Numerical Analysis
65M75
G.1.8
The Kinetic-Diffusion Monte Carlo (KDMC) method is a powerful tool for simulating neutral particles in fusion reactors. It is a hybrid fluid-kinetic method that is significantly faster than pure kinetic methods at the cost of a small bias due to fluid approximations. Unfortunately, when simulating particles close to a boundary, it needs to switch to a purely kinetic method, which is significantly slower. In this paper, we will extend the method so that it can accurately take boundary conditions into account without switching to a purely kinetic method. Experiments show that this extension can lead to a speedup of up to 500 times compared to a KDMC method that switches to a purely kinetic method, while not sacrificing too much accuracy.
title Fluid boundary conditions in kinetic-diffusion Monte Carlo
topic Numerical Analysis
65M75
G.1.8
url https://arxiv.org/abs/2509.03942