Simplified hyperbolic moment equations

Julian Koellermeier*, Manuel Torrilhon

*Bijbehorende auteur voor dit werk

OnderzoeksoutputAcademicpeer review

1 Citaat (Scopus)


Hyperbolicity is a necessary property of model equations for the solution of the BGK equation to achieve stable and physical solutions. However, the standard approach for velocity space discretization developed by Grad only yields locally hyperbolic equations. The method has recently been improved and several new globally hyperbolic model systems have been derived such as the Hyperbolic Moment Equations (HME) and the Quadrature-Based Moment Equations (QBME). We will describe the derivation and properties of a new model system called Simplified Hyperbolic Moment Equations (SHME) which inherits hyperbolicity from the other models but is simpler to implement and to solve. First simulation results show a good accuracy of the new SHME model in comparison to the existing models.
Originele taal-2English
TitelSpringer Proceedings in Mathematics and Statistics
Aantal pagina's34
ISBN van geprinte versie21941017 21941009
StatusPublished - 2018
Extern gepubliceerdJa

Publicatie series

NaamSpringer Proceedings in Mathematics & Statistics
ISSN van geprinte versie2194-1009
ISSN van elektronische versie2194-1017

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