NDLI: Control of the cylinder wake in the laminar regime by Trust-Region methods and POD Reduced Order Models

Content Provider	IEEE Xplore Digital Library
Author	Bergmann, M. Cordier, L. Brancher, J.-P.
Copyright Year	2005
Description	Author affiliation: LEMTA, UMR 7563 (CNRS - INPL - UHP), ENSEM - 2, avenue de la forêt de Haye, BP 160 - 54504 Vandoeuvre cedex, France. Michel.Bergmann@ensem.inpl-nancy.fr (Bergmann, M.)
Abstract	In this paper we investigate the optimal control approach for the active control of the circular cylinder wake flow considered in the laminar regime (Re = 200). The objective is the mean drag minimization of the wake where the control function is the time harmonic angular velocity of the rotating cylinder. When the Navier-Stokes equations are used as state equation, the discretization of the optimality system leads to large scale discretized optimization problems that represent a tremendous computational task. In order to reduce the number of state variables during the optimization process, a Proper Orthogonal Decomposition (POD) Reduced Order Model (ROM) is then derived to be used as state equation. Since the range of validity of the POD ROM is generally limited to the vicinity of the design parameters in the control parameter space, we propose to use the Trust-Region Proper Orthogonal Decomposition (TRPOD) approach, originally introduced by Fahl (2000), to update the reduced order models during the optimization process. Benefiting from the trust-region philosophy, rigorous convergence results guarantee that the iterates produced by the TRPOD algorithm will converge to the solution of the original optimization problem defined with a high a fidelity model. A lot of computational work is indeed saved because the optimization process is now based only on low-fidelity models. When the TRPOD is applied to the wake flow configuration, this approach leads to a relative mean drag reduction of 30% for reduced numerical costs.
Starting Page	524
Ending Page	529
File Size	1154824
Page Count	6
File Format	PDF
ISBN	0780395670
DOI	10.1109/CDC.2005.1582209
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-12-15
Publisher Place	Spain
Access Restriction	Subscribed
Rights Holder	IEEE/EUCA
Subject Keyword	Optimal control Reduced order systems Read only memory Navier-Stokes equations Shape control Communication system control Costs Aerodynamics Thermal pollution Angular velocity control
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Optimal control of the cylinder wake in the laminar regime by trust-region methods and pod reduced-order models

Optimal control of the cylinder wake in the laminar regime by trust-region methods and POD reduced order models (2008)

Optimal control of the cylinder wake in the laminar regime by trust-region methods and pod reduced-order models (2008).

Optimal control of the cylinder wake in the laminar regime by trust-region methods and pod reduced-order models.

Reduced order. Navier-stokes equations model ii: trust region pod 4-d var data assimilation (2004).

Reduced order modeling based on pod of a parabolized navier–stokes equations model ii: trust region pod 4d var data assimilation.

Reduced order modeling based on pod of a parabolized navier-stokes equations model ii: trust region pod 4-d var data assimilation.

Control of the circular cylinder wake by Trust-Region methods and POD Reduced-Order Models (2008)

Reduced order modeling based on pod of a parabolized navier–stokes equations model ii: trust region pod 4d var data assimilation (2013).

Control of the cylinder wake in the laminar regime by Trust-Region methods and POD Reduced Order Models

Similar Documents

Optimal control of the cylinder wake in the laminar regime by trust-region methods and pod reduced-order models

Optimal control of the cylinder wake in the laminar regime by trust-region methods and POD reduced order models (2008)

Optimal control of the cylinder wake in the laminar regime by trust-region methods and pod reduced-order models (2008).

Optimal control of the cylinder wake in the laminar regime by trust-region methods and pod reduced-order models.

Reduced order. Navier-stokes equations model ii: trust region pod 4-d var data assimilation (2004).

Reduced order modeling based on pod of a parabolized navier–stokes equations model ii: trust region pod 4d var data assimilation.

Reduced order modeling based on pod of a parabolized navier-stokes equations model ii: trust region pod 4-d var data assimilation.

Control of the circular cylinder wake by Trust-Region methods and POD Reduced-Order Models (2008)

Reduced order modeling based on pod of a parabolized navier–stokes equations model ii: trust region pod 4d var data assimilation (2013).

Control of the cylinder wake in the laminar regime by Trust-Region methods and POD Reduced Order Models