Low-dimensional modeling and dynamics of a driven cavity flow | On the modeling and control of vortex breakdown in a closed cavity

Bo Hoffmann Jørgensen

ISBN 10: 3843382026 / ISBN 13: 9783843382021

Published by LAP LAMBERT Academic Publishing, 2010

About this Item

Low-dimensional modeling and dynamics of a driven cavity flow | On the modeling and control of vortex breakdown in a closed cavity | Bo Hoffmann Jørgensen | Taschenbuch | 120 S. | Englisch | 2010 | LAP LAMBERT Academic Publishing | EAN 9783843382021 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu Print on Demand.

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Bibliographic Details

• Title: Low-dimensional modeling and dynamics of a driven cavity flow | On the modeling and control of vortex breakdown in a closed cavity
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2010
• Language: English
• ISBN 10: 3843382026
• ISBN 13: 9783843382021
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 8D millimeters 220 millimeters width by 150 millimeters height by 8 millimeters depth
• Weight: 197 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

The 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.

About the Author

Bo Hoffmann Jørgensen was born in 1968. He is a graduate of University of Wisconsin-Madison, U.S.A. Furthermore, he holds a Ph.D. from the Technical University of Denmark (DTU). He has worked with wind resource estimation for 5 years at Risø-DTU, Denmark, and is currently involved in research of biological flows at DTU.