Dynamical models for control of cavity oscillations

Clarence W. Rowley; Tim Colonius; Richard M. Murray

Dynamical models for control of cavity oscillations

Clarence W. Rowley, Tim Colonius, Richard M. Murray

Research output: Contribution to conference › Paper › peer-review

Abstract

We investigate nonlinear dynamical models for selfsustained oscillations in the flow past a rectangular cavity. The models are based on the method of Proper Orthogonal Decomposition (POD) and Galerkin projection, and we introduce an inner product and formulation of the equations of motion which enables one to use vector-valued POD modes for compressible flows. We obtain models between 3 and 20 states, which accurately describe both the shorttime and long-time dynamics. This is a substantial improvement over previous models based on scalarvalued POD modes, which capture the dynamics for short time, but deviate for long time.

Original language	English (US)
State	Published - Dec 1 2001
Externally published	Yes
Event	7th AIAA/CEAS Aeroacoustics Conference and Exhibit, 2001 - Maastricht, Netherlands Duration: May 28 2001 → May 30 2001

Other

Other	7th AIAA/CEAS Aeroacoustics Conference and Exhibit, 2001
Country/Territory	Netherlands
City	Maastricht
Period	5/28/01 → 5/30/01

All Science Journal Classification (ASJC) codes

Aerospace Engineering
Electrical and Electronic Engineering
Mechanical Engineering
Acoustics and Ultrasonics

Cite this

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title = "Dynamical models for control of cavity oscillations",

abstract = "We investigate nonlinear dynamical models for selfsustained oscillations in the flow past a rectangular cavity. The models are based on the method of Proper Orthogonal Decomposition (POD) and Galerkin projection, and we introduce an inner product and formulation of the equations of motion which enables one to use vector-valued POD modes for compressible flows. We obtain models between 3 and 20 states, which accurately describe both the shorttime and long-time dynamics. This is a substantial improvement over previous models based on scalarvalued POD modes, which capture the dynamics for short time, but deviate for long time.",

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year = "2001",

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TY - CONF

T1 - Dynamical models for control of cavity oscillations

AU - Rowley, Clarence W.

AU - Colonius, Tim

AU - Murray, Richard M.

PY - 2001/12/1

Y1 - 2001/12/1

N2 - We investigate nonlinear dynamical models for selfsustained oscillations in the flow past a rectangular cavity. The models are based on the method of Proper Orthogonal Decomposition (POD) and Galerkin projection, and we introduce an inner product and formulation of the equations of motion which enables one to use vector-valued POD modes for compressible flows. We obtain models between 3 and 20 states, which accurately describe both the shorttime and long-time dynamics. This is a substantial improvement over previous models based on scalarvalued POD modes, which capture the dynamics for short time, but deviate for long time.

AB - We investigate nonlinear dynamical models for selfsustained oscillations in the flow past a rectangular cavity. The models are based on the method of Proper Orthogonal Decomposition (POD) and Galerkin projection, and we introduce an inner product and formulation of the equations of motion which enables one to use vector-valued POD modes for compressible flows. We obtain models between 3 and 20 states, which accurately describe both the shorttime and long-time dynamics. This is a substantial improvement over previous models based on scalarvalued POD modes, which capture the dynamics for short time, but deviate for long time.

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M3 - Paper

T2 - 7th AIAA/CEAS Aeroacoustics Conference and Exhibit, 2001

Y2 - 28 May 2001 through 30 May 2001

ER -

Dynamical models for control of cavity oscillations

Abstract

Other

All Science Journal Classification (ASJC) codes

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