An asymptotic preserving kinetic scheme for the M1 model of linear transport

Jean-Luc Feugeas, Julien Mathiaud, Luc Mieussens and Thomas Vigier

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 226, issue C, 383-398

Abstract: Moment models with suitable closure can lead to accurate and computationally efficient solvers for particle transport. Hence, we propose a new asymptotic preserving scheme for the M1 model of linear transport that works uniformly for any Knudsen number. Our idea is to apply the M1 closure at the numerical level to an existing asymptotic preserving scheme for the corresponding kinetic equation, namely the Unified Gas Kinetic Scheme (UGKS) originally proposed in Mieussens (2013) and extended to linear transport in Xu and Huang (2010). A second order extension is suggested and validated. The generic nature of this method is also demonstrated in an application to the M2 model. Several test cases show the performances of this new scheme in both the M1 and M2 case.

Keywords: Linear transport; UGKS; M1 closure; Asymptotic preserving scheme; Diffusion limit (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475424002751
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:226:y:2024:i:c:p:383-398

DOI: 10.1016/j.matcom.2024.07.018

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().