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.articleNumber898028
dc.citation.journalTitleFrontiers in Physics
dc.citation.volumeNumber10
dc.contributor.authorChan, Jesse
dc.contributor.authorRanocha, Hendrik
dc.contributor.authorRueda-Ramírez, Andrés M.
dc.contributor.authorGassner, Gregor
dc.contributor.authorWarburton, Tim
dc.date.accessioned2022-08-04T14:53:23Z
dc.date.available2022-08-04T14:53:23Z
dc.date.issued2022
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.
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.
dc.identifier.digitalfphy-10-898028
dc.identifier.doihttps://doi.org/10.3389/fphy.2022.898028
dc.identifier.urihttps://hdl.handle.net/1911/112972
dc.language.isoeng
dc.publisherFrontiers Media S.A.
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.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.titleOn the Entropy Projection and the Robustness of High Order Entropy Stable Discontinuous Galerkin Schemes for Under-Resolved Flows
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpublisher version
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