{"id":5601,"date":"2022-03-22T09:33:37","date_gmt":"2022-03-22T08:33:37","guid":{"rendered":"https:\/\/www.mi.uni-koeln.de\/NumSim\/?p=5601"},"modified":"2022-03-22T09:33:37","modified_gmt":"2022-03-22T08:33:37","slug":"new-paper-submitted-on-the-entropy-projection-and-the-robustness-of-high-order-entropy-stable-discontinuous-galerkin-schemes-for-under-resolved-flows","status":"publish","type":"post","link":"https:\/\/www.mi.uni-koeln.de\/NumSim\/2022\/03\/22\/new-paper-submitted-on-the-entropy-projection-and-the-robustness-of-high-order-entropy-stable-discontinuous-galerkin-schemes-for-under-resolved-flows\/","title":{"rendered":"New paper submitted: On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows"},"content":{"rendered":"<p>High 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 DG methods which incorporate an &#8220;entropy projection&#8221; 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.<\/p>\n<p>arXiv: <a href=\"https:\/\/arxiv.org\/abs\/2203.10238\">https:\/\/arxiv.org\/abs\/2203.10238<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>High 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 DG methods which &hellip; <a href=\"https:\/\/www.mi.uni-koeln.de\/NumSim\/2022\/03\/22\/new-paper-submitted-on-the-entropy-projection-and-the-robustness-of-high-order-entropy-stable-discontinuous-galerkin-schemes-for-under-resolved-flows\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":12,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[46],"tags":[],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-json\/wp\/v2\/posts\/5601"}],"collection":[{"href":"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-json\/wp\/v2\/users\/12"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-json\/wp\/v2\/comments?post=5601"}],"version-history":[{"count":1,"href":"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-json\/wp\/v2\/posts\/5601\/revisions"}],"predecessor-version":[{"id":5602,"href":"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-json\/wp\/v2\/posts\/5601\/revisions\/5602"}],"wp:attachment":[{"href":"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-json\/wp\/v2\/media?parent=5601"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-json\/wp\/v2\/categories?post=5601"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-json\/wp\/v2\/tags?post=5601"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}