Suppression of Cavity Flow Oscillations via Three-Dimensional Steady Blowing

Zhang, Yang; Sun, Yiyang; Arora, Nishul; Cattafesta, Louis N.; Taira, Kunihiko; Ukeiley, Lawrence

doi:10.2514/1.j057012

Cited by 30 publications

(24 citation statements)

References 43 publications

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“…The results using the present computational set-up exhibited good agreement with experimental results (Zhang et al. 2019) in which the width of cavity is equal to the spanwise extent of test section in the wind tunnel. The sidewall effects have been investigated rigorously in our past study (Sun et al.…”

Section: Approachessupporting

confidence: 87%

“…2019; Zhang et al. 2019). A small three-dimensional domain, labelled as domain B in figure 1, is used for the modal analyses.…”

Section: Approachesmentioning

confidence: 99%

“…2015; Zhang et al. 2019). The unsteady actuation is prescribed with a wall-normal velocity profile of where is the actuation amplitude, and are the actuation frequency and spanwise wavenumber, respectively.…”

Section: Approachesmentioning

confidence: 99%

“…2019; Zhang et al. 2019). Rizzetta & Visbal (2003), for example, performed a number of large-eddy simulations (LES) on the suppression of cavity flow oscillations using pulsed injection at very high frequency.…”

Section: Introductionmentioning

confidence: 99%

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Unsteady control of supersonic turbulent cavity flow based on resolvent analysis

et al. 2021

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We use resolvent analysis to develop a physics-based, open-loop, unsteady control strategy to attenuate pressure fluctuations in turbulent flow over a rectangular cavity with a length-to-depth ratio of $6$ at a Mach number of $1.4$ and a Reynolds number based on cavity depth of $10\,000$. Large-eddy simulations (LES) of the baseline uncontrolled flow reveal the dominance of Rossiter modes II and IV that generate high-amplitude unsteadiness via trailing-edge impingement and oblique shock waves that obstruct the free stream. To suppress the oscillations, we introduce three-dimensional unsteady blowing along the cavity leading edge. We leverage resolvent analysis as a linear model with respect to the baseline flow to guide the selections of the optimal spanwise wavenumber and frequency of the unsteady actuation input for a fixed momentum coefficient of 0.02. Instead of choosing the most amplified resolvent forcing modes, we seek a disturbance that yields sustained amplification of the primary response mode-based kinetic energy distribution over the entire cavity length. This necessary but not sufficient guideline for effective mean flow modification is evaluated using LES of the controlled cavity flows. The most effective control case reduces the pressure root mean square level up to $52\,\%$ along cavity walls relative to the baseline and is approximately twice that achievable by comparable steady blowing. Dynamic mode decomposition on the controlled flows confirms that the optimal actuation input indeed suppresses the formation of the large-scale Rossiter modes. It is expected that the present flow control guideline derived from resolvent analysis will also be applicable at higher Reynolds numbers with the aid of physical insights and further validation.

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Section: Approachessupporting

confidence: 87%

“…2019; Zhang et al. 2019). A small three-dimensional domain, labelled as domain B in figure 1, is used for the modal analyses.…”

Section: Approachesmentioning

confidence: 99%

Section: Approachesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Unsteady control of supersonic turbulent cavity flow based on resolvent analysis

et al. 2021

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“…The findings provide rich information in terms of spatial distribution, growth/decay rate and temporal frequencies of disturbances that develop under the given base flows. The fruitful results from stability analysis have also served as guidelines in many steady control efforts aimed at suppressing cavity flow oscillations [22,23]. The resolvent analysis discussed in the present work is aimed to provide insights for unsteady control designs in turbulent flow to potentially improve the control performance.…”

Section: Introductionmentioning

confidence: 98%

Resolvent Analysis of Compressible Laminar and Turbulent Cavity Flows

et al. 2020

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The present work demonstrates the use of resolvent analysis to obtain physical insights for open-cavity flows. Resolvent analysis identifies the flow response to harmonic forcing, given a steady base state, in terms of the response and forcing modes and the amplification gain. The response and forcing modes reveal the spatial structures associated with this amplification process. In this study, we perform resolvent analysis on both laminar and turbulent flows over a rectangular cavity with length-to-depth ratio of L/D = 6 at a free stream Mach number of M ∞ = 0.6 in a spanwise periodic setting. Based on the dominant instability of the base state, a discount parameter is introduced to resolvent analysis to examine the harmonic characteristics over a finite-time window. We first uncover the underlying flow physics and interpret findings from laminar flow at Re D = 502. These findings from laminar flow are extended to a more practical cavity flow example at a much higher Reynolds number of Re D = 10 4 . The features of response and forcing modes from the laminar and turbulent cavity flows are similar to the spatial structures from the laminar analysis. We further find that the large amplification of energy in flow response is associated with high frequency for turbulent flow, while the flow is

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Spectral analysis modal methods (SAMMs) using non-time-resolved PIV

2020

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We present spectral analysis modal methods (SAMMs) to perform POD in the frequency domain using non-time-resolved particle image velocity (PIV) data combined with unsteady surface pressure measurements. In particular, time-resolved unsteady surface pressure measurements are synchronized with non-time-resolved planar PIV measurements acquired at 15 Hz in a Mach 0.6 cavity flow. Leveraging the spectral linear stochastic estimation (LSE) method of Tinney et al. (Exp Fluids 41:763-775, 2006), we first estimate the cross-correlations between the velocity field and the unsteady pressure sensors via sequential time shifts, followed by a Fast Fourier transform to obtain the pressure-velocity cross spectral density matrix. This leads to a linear multiple-input/multiple-output (MIMO) model that determines the optimal transfer functions between the input cavity wall pressure and the output velocity field. Two variants of SAMMs are developed and applied. The first, termed "SAMM-SPOD", combines the MIMO model with the SPOD algorithm of Towne et al.

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Suppression of Cavity Flow Oscillations via Three-Dimensional Steady Blowing

Cited by 30 publications

References 43 publications

Unsteady control of supersonic turbulent cavity flow based on resolvent analysis

Unsteady control of supersonic turbulent cavity flow based on resolvent analysis

Resolvent Analysis of Compressible Laminar and Turbulent Cavity Flows

Spectral analysis modal methods (SAMMs) using non-time-resolved PIV

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