{"id":7332,"date":"2026-05-13T14:50:15","date_gmt":"2026-05-13T18:50:15","guid":{"rendered":"https:\/\/mseas.mit.edu\/?p=7332"},"modified":"2026-05-13T14:50:16","modified_gmt":"2026-05-13T18:50:16","slug":"a-hybridizable-discontinuous-galerkin-solver-for-quasi-geostrophic-flows-in-complex-domains","status":"publish","type":"post","link":"https:\/\/mseas.mit.edu\/?p=7332","title":{"rendered":"A Hybridizable Discontinuous Galerkin Solver for Quasi-Geostrophic Flows in Complex Domains"},"content":{"rendered":"\n<p>Numerical modeling of ocean dynamics is critical for studying and predicting a wide range of geophysical phenomena, including mesoscale turbulence and coastal circulation. However, resolving the wide range of spatial scales present in such flows, particularly in domains with complex coastlines and bathymetry, remains computationally challenging. Low order finite difference and finite volume schemes often require fine spatial resolution to capture turbulent structures, leading to intractable computational costs. Pseudo-spectral solvers provide an attractive alternative due to their exponential accuracy and computational efficiency for smooth solutions, but they are generally restricted to simple periodic geometries or require special boundary schemes. High-order discontinuous Galerkin finite element methods offer a suitable compromise by combining geometric flexibility with high order accuracy, enabling computationally tractable simulations of turbulent flows in complex domains.<\/p>\n\n\n\n<p>In this work, we implement a high-order hybridizable discontinuous Galerkin method-based (HDG) finite element solver for the two-dimensional quasi-geostrophic (QG) ocean equations.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Numerical modeling of ocean dynamics is critical for studying and predicting a wide range of geophysical phenomena, including mesoscale turbulence and coastal circulation. However, resolving the wide range of spatial scales present in such flows, particularly in domains with complex coastlines and bathymetry, remains computationally challenging. Low order finite difference and finite volume schemes often [&hellip;]<\/p>\n","protected":false},"author":8,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[32,28,5,72],"tags":[],"class_list":["post-7332","post","type-post","status-publish","format-standard","hentry","category-numerical-ocean-modeling","category-multiscale-ocean-modeling","category-publications","category-proceedings-of-refereed-conferences-multiscale-ocean-modeling"],"_links":{"self":[{"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=\/wp\/v2\/posts\/7332","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=7332"}],"version-history":[{"count":1,"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=\/wp\/v2\/posts\/7332\/revisions"}],"predecessor-version":[{"id":7333,"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=\/wp\/v2\/posts\/7332\/revisions\/7333"}],"wp:attachment":[{"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7332"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=7332"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=7332"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}