Moment-preserving particle merging via non-negative least squares

Fuente: arXiv
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Hauptverfasser: Oblapenko, Georgii, Torrilhon, Manuel
Format: Preprint
Veröffentlicht: 2026
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author Oblapenko, Georgii
Torrilhon, Manuel
author_facet Oblapenko, Georgii
Torrilhon, Manuel
contents A novel particle merging algorithm for rarefied gas dynamics simulations is proposed that can conserve arbitrary velocity and spatial moments of the particle distribution via solving a non-negative least squares problem. An extension that preserves both exact and approximate collision rates is also derived. The algorithm is applied to the simulation of several model rarefied gas dynamics problems, where it exhibits noticeably lower merging-induced error in key macroscopic quantities.
format Preprint
id arxiv_https___arxiv_org_abs_2604_00668
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Moment-preserving particle merging via non-negative least squares
Oblapenko, Georgii
Torrilhon, Manuel
Computational Physics
Fluid Dynamics
Plasma Physics
A novel particle merging algorithm for rarefied gas dynamics simulations is proposed that can conserve arbitrary velocity and spatial moments of the particle distribution via solving a non-negative least squares problem. An extension that preserves both exact and approximate collision rates is also derived. The algorithm is applied to the simulation of several model rarefied gas dynamics problems, where it exhibits noticeably lower merging-induced error in key macroscopic quantities.
title Moment-preserving particle merging via non-negative least squares
topic Computational Physics
Fluid Dynamics
Plasma Physics
url https://arxiv.org/abs/2604.00668