Bulletin of the American Physical Society
71st Annual Meeting of the APS Division of Fluid Dynamics
Volume 63, Number 13
Sunday–Tuesday, November 18–20, 2018; Atlanta, Georgia
Session Q01: Nonlinear Dynamics: Model Reduction II
12:50 PM–3:26 PM,
Tuesday, November 20, 2018
Georgia World Congress Center
Room: B201
Chair: Pedram Hassenzadeh, Rice University
Abstract ID: BAPS.2018.DFD.Q01.1
Abstract: Q01.00001 : Data-driven reduced modeling of turbulent convection using DMD-enhanced Fluctuation-Dissipation Theorem*
12:50 PM–1:03 PM
Presenter:
Pedram Hassanzadeh
(Rice University)
Authors:
Pedram Hassanzadeh
(Rice University)
Mohammad Amin Khodkar
(Rice University)
A data-driven, model-free framework is introduced for calculating Reduced-Order Models (ROMs) capable of accurately predicting time-mean responses to external forcings, or forcings needed for specified responses, e.g., for control, in fully turbulent flows. The framework is based on using the Fluctuation-Dissipation Theorem (FDT) in the space of a limited number of modes obtained from Dynamic Mode Decomposition (DMD). Using the DMD modes as the basis functions, rather than the commonly used Proper Orthogonal Decomposition (POD) modes, resolves a previously identified problem in applying FDT to high-dimensional, non-normal turbulent flows. Employing this DMD-enhanced FDT method (FDTDMD ), a linear ROM with horizontally averaged temperature as state vector, is calculated for a 3D Rayleigh-Benard convection system at the Rayleigh number of 106 using data obtained from Direct Numerical Simulation (DNS). The calculated ROM performs well in various tests for this turbulent ow, suggesting FDTDMD as a promising method for developing ROMs for high-dimensional, turbulent systems.
*NSF grant AGS-1552385
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2018.DFD.Q01.1
Follow Us |
Engage
Become an APS Member |
My APS
Renew Membership |
Information for |
About APSThe American Physical Society (APS) is a non-profit membership organization working to advance the knowledge of physics. |
© 2024 American Physical Society
| All rights reserved | Terms of Use
| Contact Us
Headquarters
1 Physics Ellipse, College Park, MD 20740-3844
(301) 209-3200
Editorial Office
100 Motor Pkwy, Suite 110, Hauppauge, NY 11788
(631) 591-4000
Office of Public Affairs
529 14th St NW, Suite 1050, Washington, D.C. 20045-2001
(202) 662-8700