{"id":6664,"date":"2025-11-05T11:49:22","date_gmt":"2025-11-05T10:49:22","guid":{"rendered":"https:\/\/www.mi.uni-koeln.de\/NumSim\/?p=6664"},"modified":"2025-11-05T11:49:22","modified_gmt":"2025-11-05T10:49:22","slug":"snapshot-de-mach-2000-astrophysical-jet-with-dg-and-subcell-positivity-limiters-using-amr","status":"publish","type":"post","link":"https:\/\/www.mi.uni-koeln.de\/NumSim\/2025\/11\/05\/snapshot-de-mach-2000-astrophysical-jet-with-dg-and-subcell-positivity-limiters-using-amr\/","title":{"rendered":"Snapshot: DE Mach 2000 astrophysical Jet with DG and subcell positivity limiters using AMR"},"content":{"rendered":"<p>Numerical simulation of an astrophysical Jet with a Mach number of about 2000. We solve the compressible Euler equations of gas dynamics with a FCT-type subcell limiting approach combining a (forth-order accurate) discontinuous Galerkin (DG) method with a first-order accurate finite volume (FV) method at the node level to impose positivity of density and pressure. Additionally, a new mortar approach also ensures positivity of density and pressure.<\/p>\n<p>At end time T=0.0015, we have 79,708 elements which result in 1,275,328 degrees of freedom. We use the entropy-conserving and kinetic energy preserving flux of Chandrashekar for the volume fluxes and the local Lax-Friedrichs flux for the surface fluxes of the DG and FV methods.<\/p>\n<p>The results were obtained using <a href=\"https:\/\/github.com\/trixi-framework\/Trixi.jl\">Trixi.jl<\/a>.<\/p>\n<p><iframe loading=\"lazy\" title=\"Mach 2000 astrophysical Jet with DG and subcell positivity limiters using AMR\" width=\"584\" height=\"329\" src=\"https:\/\/www.youtube.com\/embed\/RDcyKNc_OXA?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<p>Reference:<br \/>\n[1] A. M. Rueda-Ram\u00edrez, B. Bolm, D. Kuzmin, G. J. Gassner: Monolithic Convex Limiting for Legendre-Gauss-Lobatto Discontinuous Galerkin Spectral Element Methods, <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s42967-023-00321-6\">https:\/\/link.springer.com\/article\/10.1007\/s42967-023-00321-6<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Numerical simulation of an astrophysical Jet with a Mach number of about 2000. We solve the compressible Euler equations of gas dynamics with a FCT-type subcell limiting approach combining a (forth-order accurate) discontinuous Galerkin (DG) method with a first-order accurate &hellip; <a href=\"https:\/\/www.mi.uni-koeln.de\/NumSim\/2025\/11\/05\/snapshot-de-mach-2000-astrophysical-jet-with-dg-and-subcell-positivity-limiters-using-amr\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":14,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[49],"tags":[],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-json\/wp\/v2\/posts\/6664"}],"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\/14"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-json\/wp\/v2\/comments?post=6664"}],"version-history":[{"count":2,"href":"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-json\/wp\/v2\/posts\/6664\/revisions"}],"predecessor-version":[{"id":6666,"href":"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-json\/wp\/v2\/posts\/6664\/revisions\/6666"}],"wp:attachment":[{"href":"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-json\/wp\/v2\/media?parent=6664"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-json\/wp\/v2\/categories?post=6664"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-json\/wp\/v2\/tags?post=6664"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}