Projective integration for moment models of the bgk equation

Julian Koellermeier*, Giovanni Samaey

*Bijbehorende auteur voor dit werk

OnderzoeksoutputAcademicpeer review

2 Citaten (Scopus)


In this paper, we apply the projective integration method to moment models of the Boltzmann-BGK equation and investigate the numerical properties of the resulting scheme. Projective integration is an explicit, asymptotic-preserving scheme that is tailored to problems with a large spectral gap between fast and slow eigenvalues of the model. A spectral analysis of the moment model shows a clear spectral gap and reveals the multi-scale nature of the model. The new scheme overcomes the severe time step constraint of standard explicit schemes like the forward Euler scheme by performing a number of inner iterations and then extrapolating the solution forward in time. The projective integration scheme is non-intrusive and yields fast and accurate solutions, as demonstrated using a 1D shock tube test case. These observations open up many possibilities for further use of the scheme for high-resolution discretizations and different collision models.

Originele taal-2English
TitelComputational Science – ICCS 2020 - 20th International Conference, Proceedings
RedacteurenValeria V. Krzhizhanovskaya, Gábor Závodszky, Michael H. Lees, Peter M.A. Sloot, Peter M.A. Sloot, Peter M.A. Sloot, Jack J. Dongarra, Sérgio Brissos, João Teixeira
UitgeverijSpringer Science and Business Media Deutschland GmbH
Aantal pagina's13
ISBN van geprinte versie9783030504328
StatusPublished - 2020
Extern gepubliceerdJa
Evenement20th International Conference on Computational Science, ICCS 2020 - Amsterdam, Netherlands
Duur: 3-jun.-20205-jun.-2020

Publicatie series

NaamLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12142 LNCS
ISSN van geprinte versie0302-9743
ISSN van elektronische versie1611-3349


Conference20th International Conference on Computational Science, ICCS 2020

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