{"product_id":"low-dimensional-modeling-and-dynamics-of-a-driven-cavity-flow-von-bo-hoffmann-jorgensen","title":"Low-dimensional modeling and dynamics of a driven cavity flow","description":"\u003cp\u003eThe flow in a lid driven cavity with a rotating rod has been studied by numerical simulations. The flow  is suitable for studying vortex breaksdown.  Breakdowns bubbles of the steady flow and unsteady  flow can be controlled by the rotation of the rod.  Transition of the flow was studied and the  frequencies appearing in the time varying flow were  determined by applying a Fast Fourier Transform  (FFT). By applying Proper Orthogonal Decomposition  (POD) and the newly developed Sequential POD (SPOD),  one can extract a limited amount of data  characterizing the flow. The modes resulting  from the decomposition form a basis in the phase  space on which a Galerkin projection of the  equations of motion can be performed. One obtains a  low-dimensional model consisting of a reduced set of  Ordinary Differential Equations (ODE). This set of  equations has been used for analyzing bifurcations.  A method has been developed  for contructing low- dimensional models with more than one free  parameter. The resulting model allows  one of the free parameters to appear in the  inhomogeneous boundary conditions without the  addition of any constraints.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783843382021\"\u003e\u003ch3\u003eOn the modeling and control of vortex breakdown in a closed cavity\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783843382021","offer_id":39470038581341,"sku":"9783843382021","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/27059772-b554-4022-8de7-da5e39846b86.jpg?v=1759120896","url":"https:\/\/shop.autorenwelt.de\/products\/low-dimensional-modeling-and-dynamics-of-a-driven-cavity-flow-von-bo-hoffmann-jorgensen","provider":"Autorenwelt Shop","version":"1.0","type":"link"}