{"id":2229,"date":"2012-08-15T11:03:28","date_gmt":"2012-08-15T15:03:28","guid":{"rendered":"http:\/\/mseas.mit.edu\/?p=2229"},"modified":"2012-08-15T11:03:58","modified_gmt":"2012-08-15T15:03:58","slug":"stochastic-modeling-of-flows-behind-a-square-cylinder-with-uncertain-reynolds-numbers-2","status":"publish","type":"post","link":"https:\/\/mseas.mit.edu\/?p=2229","title":{"rendered":"Stochastic Modeling of Flows behind a Square Cylinder with uncertain Reynolds numbers"},"content":{"rendered":"In this thesis, we explore the use of stochastic Navier-Stokes equations through the\r\nDynamically Orthogonal (DO) methodology developed at MIT in the Multidisciplinary\r\nSimulation, Estimation, and Assimilation Systems Group. Specifically, we examine the\r\neffects of the Reynolds number on stochastic fluid flows behind a square cylinder and\r\nevaluate computational schemes to do so. We review existing literature, examine our\r\nsimulation results and validate the numerical solution. The thesis uses a novel open\r\nboundary condition formulation for DO stochastic Navier-Stokes equations, which allows\r\nthe modeling of a wide range of random inlet boundary conditions with a single DO\r\nsimulation of low stochastic dimensions, reducing computational costs by orders of\r\nmagnitude. We first test the numerical convergence and validating the numerics. We then\r\nstudy the sensitivity of the results to several parameters, focusing for the dynamics on the\r\nsensitivity to the Reynolds number. For the method, we focus on the sensitivity to the:\r\nresolution of in the stochastic subspace, resolution in the physical space and number of\r\nopen boundary conditions DO modes. Finally, we evaluate and study how key dynamical\r\ncharacteristics of the flow such as the recirculation length and the vortex shedding period\r\nvary with the Reynolds number.","protected":false},"excerpt":{"rendered":"<p>In this thesis, we explore the use of stochastic Navier-Stokes equations through the Dynamically Orthogonal (DO) methodology developed at MIT in the Multidisciplinary Simulation, Estimation, and Assimilation Systems Group. Specifically, we examine the effects of the Reynolds number on stochastic fluid flows behind a square cylinder and evaluate computational schemes to do so. We review [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[87],"tags":[],"class_list":["post-2229","post","type-post","status-publish","format-standard","hentry","category-mseas-reports"],"_links":{"self":[{"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=\/wp\/v2\/posts\/2229","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\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2229"}],"version-history":[{"count":2,"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=\/wp\/v2\/posts\/2229\/revisions"}],"predecessor-version":[{"id":2231,"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=\/wp\/v2\/posts\/2229\/revisions\/2231"}],"wp:attachment":[{"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2229"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2229"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mseas.mit.edu\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2229"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}