Making a flux positivity-preserving: A general purpose filter for the euler equations

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations


A general purpose positivity-preserving filter is here presented which transforms any non-positivity-preserving flux into one that is positivity preserving. The method consists of recasting a flux at the interface in terms of a left and right flux, with the left flux having positive eigenvalues, and the right flux having negative eigenvalues. Such can be proven to be positivity-preserving (density and temperature maintained positive) for the Euler equations of gas dynamics. Several test cases show that the positivity-preserving filter can be deployed successfully to viscous and inviscid flows integrated using either explicit or implicit schemes.

Original languageEnglish (US)
Title of host publicationAIAA Scitech 2019 Forum
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624105784
StatePublished - 2019
Externally publishedYes
EventAIAA Scitech Forum, 2019 - San Diego, United States
Duration: Jan 7 2019Jan 11 2019

Publication series

NameAIAA Scitech 2019 Forum


ConferenceAIAA Scitech Forum, 2019
Country/TerritoryUnited States
CitySan Diego

ASJC Scopus subject areas

  • Aerospace Engineering


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