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On the Entropy Projection and the Robustness of High Order Entropy Stable Discontinuous Galerkin Schemes for Under-Resolved Flows

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dc.contributor.authorChan, Jesseen
dc.contributor.authorRanocha, Hendriken
dc.contributor.authorRueda-Ramirez, Andres M.en
dc.contributor.authorGassner, Gregoren
dc.contributor.authorWarburton, Timen
dc.date.accessioned2022-11-02T17:37:57Zen
dc.date.available2022-11-02T17:37:57Zen
dc.date.issued2022-07-01en
dc.description.abstractHigh order entropy stable schemes provide improved robustness for computational simulations of fluid flows. However, additional stabilization and positivity preserving limiting can still be required for variable-density flows with under-resolved features. We demonstrate numerically that entropy stable Discontinuous Galerkin (DG) methods which incorporate an "entropy projection" are less likely to require additional limiting to retain positivity for certain types of flows. We conclude by investigating potential explanations for this observed improvement in robustness.en
dc.description.notesHR was partially funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy EXC 2044-390685587, Mathematics Munster: Dynamics-Geometry-Structure. This work has received funding from the European Research Council through the ERC Starting Grant "An Exascale aware and Uncrashable Space-Time-Adaptive Discontinuous Spectral Element Solver for Non-Linear Conservation Laws" (Extreme), ERC grant agreement no. 714487 (GG and AR-R). TW was supported in part by the Exascale Computing Project, a collaborative effort of two U.S. Department of Energy organizations (Office of Science and the National Nuclear Security Administration) responsible for the planning and preparation of a capable exascale ecosystem, including software, applications, hardware, advanced system engineering, and early testbed platforms, in support of the nation's exascale computing imperative. TW was also supported in part by the JC Faculty Chair in Science at Virginia Tech. JC gratefully acknowledges support from the National Science Foundation under award DMS-CAREER-1943186. GG and ARR acknowledge funding through the Klaus-Tschira Stiftung via the project "HiFiLab."en
dc.description.sponsorshipDeutsche Forschungsgemeinschaft (DFG, German Research Foundation) [EXC 2044-390685587]; European Research Council [714487]; U.S. Department of Energy organization (Office of Science); U.S. Department of Energy organization (National Nuclear Security Administration); JC Faculty Chair in Science at Virginia Tech; National Science Foundation [DMS-CAREER-1943186]; Klaus-Tschira Stiftung via the project "HiFiLab"en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.3389/fphy.2022.898028en
dc.identifier.issn2296-424Xen
dc.identifier.other898028en
dc.identifier.urihttp://hdl.handle.net/10919/112367en
dc.identifier.volume10en
dc.language.isoenen
dc.publisherFrontiersen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectcomputational fluid dynamicsen
dc.subjecthigh orderen
dc.subjectdiscontinuous Galerkin (DG)en
dc.subjectsummation-by-parts (SBP)en
dc.subjectentropy stabilityen
dc.subjectrobustnessen
dc.titleOn the Entropy Projection and the Robustness of High Order Entropy Stable Discontinuous Galerkin Schemes for Under-Resolved Flowsen
dc.title.serialFrontiers in Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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