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

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dc.citation.articleNumber898028en_US
dc.citation.journalTitleFrontiers in Physicsen_US
dc.citation.volumeNumber10en_US
dc.contributor.authorChan, Jesseen_US
dc.contributor.authorRanocha, Hendriken_US
dc.contributor.authorRueda-Ramírez, Andrés M.en_US
dc.contributor.authorGassner, Gregoren_US
dc.contributor.authorWarburton, Timen_US
dc.date.accessioned2022-08-04T14:53:23Zen_US
dc.date.available2022-08-04T14:53:23Zen_US
dc.date.issued2022en_US
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_US
dc.identifier.citationChan, Jesse, Ranocha, Hendrik, Rueda-Ramírez, Andrés M., et al.. "On the Entropy Projection and the Robustness of High Order Entropy Stable Discontinuous Galerkin Schemes for Under-Resolved Flows." <i>Frontiers in Physics,</i> 10, (2022) Frontiers Media S.A.: https://doi.org/10.3389/fphy.2022.898028.en_US
dc.identifier.digitalfphy-10-898028en_US
dc.identifier.doihttps://doi.org/10.3389/fphy.2022.898028en_US
dc.identifier.urihttps://hdl.handle.net/1911/112972en_US
dc.language.isoengen_US
dc.publisherFrontiers Media S.A.en_US
dc.rightsThis is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_US
dc.titleOn the Entropy Projection and the Robustness of High Order Entropy Stable Discontinuous Galerkin Schemes for Under-Resolved Flowsen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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