{"id":778,"date":"2024-04-10T14:34:37","date_gmt":"2024-04-10T12:34:37","guid":{"rendered":"https:\/\/project.inria.fr\/inriacwi\/?page_id=778"},"modified":"2024-04-10T14:35:32","modified_gmt":"2024-04-10T12:35:32","slug":"spade_ea","status":"publish","type":"page","link":"https:\/\/project.inria.fr\/inriacwi\/spade_ea\/","title":{"rendered":"SPADES_EA"},"content":{"rendered":"<h3><span style=\"color: #ff0000;\">Associate team SPADES_EA \u2013 Structure-Preserving Approximations of Dynamical systems in Engineering and Science<\/span><\/h3>\n<p><span style=\"color: #808080;\"><strong>Principal investigators<\/strong><\/span><br \/><a href=\"https:\/\/www.math.u-bordeaux.fr\/~ttaddei\/\">Tommaso Taddei<\/a>, <a href=\"https:\/\/team.inria.fr\/memphis\/\">MEMPHIS<\/a> research team, Inria<br \/>Benjamin Sanderse, <a href=\"https:\/\/www.cwi.nl\/en\/groups\/scientific-computing\/\">Scientific Computing group<\/a>, CWI<\/p>\n<p><span style=\"color: #808080;\"><strong>Abstract<\/strong><\/span><br \/>Model order reduction (MOR) of parametric PDEs is a well-established field in scientific computing that aims to reduce the marginal cost associated with the solution to parametric systems: MOR is motivated by many-query (optimization, parameter sweeps) and real-time (interactive design, monitoring) applications, which naturally arise in the field of continuum mechanics. Despite the numerous examples of applications of MOR to large-scale industrial problems, the practical deployment of MOR techniques remains limited in computational fluid dynamics (CFD). To address the current limitations of MOR methods, several authors have proposed structure-preserving projection techniques and nonlinear data compression methods: the former refer to a class of methods that aim to preserve notable properties (e.g., positivity, entropy conservation) of the solution to the underlying PDE, which are not necessarily guaranteed at the reduced-order level; the latter refer to a class of methods that exploit a nonlinear ansatz to estimate the state field. The objective of the Associate Team SPADES between Inria Team MEMPHIS (PI: Tommaso Taddei) and CWI (PI: Benjamin Sanderse) is to devise effective structure-preserving nonlinear model reduction techniques for unsteady nonlinear PDEs that arise in computational fluid dynamics (CFD). The project benefits from the very complementary expertise in nonlinear approximation methods and structure-preserving reduced-order formulations of the two partners, and has the potential to address the grand challenges of model reduction techniques for a broad range of applications in CFD.<\/p>\n<p><span style=\"color: #808080;\"><strong>Website<\/strong><\/span>:\u00a0under construction<\/p>\n<p><span style=\"color: #808080;\"><strong>Keywords<\/strong><\/span>: Model order reduction; structure preservation; nonlinear approximations<\/p>","protected":false},"excerpt":{"rendered":"<p>Associate team SPADES_EA \u2013 Structure-Preserving Approximations of Dynamical systems in Engineering and Science Principal investigatorsTommaso\u2026<\/p>\n<p> <a class=\"continue-reading-link\" href=\"https:\/\/project.inria.fr\/inriacwi\/spade_ea\/\"><span>Read More<\/span><i class=\"crycon-right-dir\"><\/i><\/a> <\/p>\n","protected":false},"author":309,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-778","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/project.inria.fr\/inriacwi\/wp-json\/wp\/v2\/pages\/778","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/project.inria.fr\/inriacwi\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/project.inria.fr\/inriacwi\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/project.inria.fr\/inriacwi\/wp-json\/wp\/v2\/users\/309"}],"replies":[{"embeddable":true,"href":"https:\/\/project.inria.fr\/inriacwi\/wp-json\/wp\/v2\/comments?post=778"}],"version-history":[{"count":4,"href":"https:\/\/project.inria.fr\/inriacwi\/wp-json\/wp\/v2\/pages\/778\/revisions"}],"predecessor-version":[{"id":783,"href":"https:\/\/project.inria.fr\/inriacwi\/wp-json\/wp\/v2\/pages\/778\/revisions\/783"}],"wp:attachment":[{"href":"https:\/\/project.inria.fr\/inriacwi\/wp-json\/wp\/v2\/media?parent=778"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}