Supra-conservative finite-volume methods for the simulation of subsonic flow

Arthur Veldman*

*Corresponding author for this work

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Abstract

It is demonstrated how finite-volume methods can be designed such that, next to the primary invariants (mass, momentum and internal energy), they also conserve secondary invariants (kinetic energy), i.e., they are supra-conservative. Key ingredient is a consistency between the discrete divergence terms in the constituting equations and the discrete pressure gradient. The requirements hold for any discretization method with a volume-consistent scaling.
Original languageEnglish
Title of host publication14th WCCM ECCOMAS Congress 2020
Subtitle of host publicationProceedings
EditorsF. Chinesta, R. Abgrall, O. Allix, M. Kaliske
Number of pages12
Publication statusPublished - 11-Jan-2021
EventWCCM ECCOMAS Congress 2020 - Virtual Congress, Paris, France
Duration: 11-Jan-202115-Jan-2021
Conference number: 14

Conference

ConferenceWCCM ECCOMAS Congress 2020
Country/TerritoryFrance
CityParis
Period11/01/202115/01/2021

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