{"id":6506,"date":"2025-02-10T09:16:31","date_gmt":"2025-02-10T08:16:31","guid":{"rendered":"https:\/\/www.mi.uni-koeln.de\/NumSim\/?p=6506"},"modified":"2025-02-10T09:16:31","modified_gmt":"2025-02-10T08:16:31","slug":"snapshot-barotropic-instability-with-and-without-orography","status":"publish","type":"post","link":"https:\/\/www.mi.uni-koeln.de\/NumSim\/2025\/02\/10\/snapshot-barotropic-instability-with-and-without-orography\/","title":{"rendered":"Snapshot: Barotropic Instability with and without Orography"},"content":{"rendered":"<div style=\"width: 584px;\" class=\"wp-video\"><!--[if lt IE 9]><script>document.createElement('video');<\/script><![endif]-->\n<video class=\"wp-video-shortcode\" id=\"video-6506-1\" width=\"584\" height=\"343\" preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-content\/uploads\/2025\/02\/Barotropic_instability_topography_compressed.mp4?_=1\" \/><a href=\"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-content\/uploads\/2025\/02\/Barotropic_instability_topography_compressed.mp4\">https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-content\/uploads\/2025\/02\/Barotropic_instability_topography_compressed.mp4<\/a><\/video><\/div>\n<p>The video shows the evolution of a barotropic instability in Earth&#8217;s polar jet stream. Initially uniform, the jet stream undergoes perturbations, leading to vortex formation driven by the Coriolis force due to Earth&#8217;s rotation. To simulate this phenomenon, we discretize the Shallow Water Equations on the sphere using a discontinuous Galerkin method. We compare two scenarios: an ocean-covered Earth (without orography) and a more realistic representation that includes Earth&#8217;s orography. Orography is incorporated into the equations as a non-conservative term, with values sourced from the <a href=\"https:\/\/www.ncei.noaa.gov\/products\/etopo-global-relief-model\">ETOPO<\/a> dataset provided by the National Oceanic and Atmospheric Administration (NOAA). The simulations are performed using <a href=\"https:\/\/github.com\/trixi-framework\/TrixiAtmo.jl\">TrixiAtmo.jl<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The video shows the evolution of a barotropic instability in Earth&#8217;s polar jet stream. Initially uniform, the jet stream undergoes perturbations, leading to vortex formation driven by the Coriolis force due to Earth&#8217;s rotation. To simulate this phenomenon, we discretize &hellip; <a href=\"https:\/\/www.mi.uni-koeln.de\/NumSim\/2025\/02\/10\/snapshot-barotropic-instability-with-and-without-orography\/\">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\/6506"}],"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=6506"}],"version-history":[{"count":3,"href":"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-json\/wp\/v2\/posts\/6506\/revisions"}],"predecessor-version":[{"id":6510,"href":"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-json\/wp\/v2\/posts\/6506\/revisions\/6510"}],"wp:attachment":[{"href":"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-json\/wp\/v2\/media?parent=6506"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-json\/wp\/v2\/categories?post=6506"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mi.uni-koeln.de\/NumSim\/wp-json\/wp\/v2\/tags?post=6506"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}