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This work applies resolvent analysis to incompressible flow through a rectangular duct, in order to identify dominant linear energy-amplification mechanisms present in such flows. In particular, we formulate the resolvent operator from…

Fluid Dynamics · Physics 2022-05-30 Barbara Lopez-Doriga , Scott T. M. Dawson , Ricardo Vinuesa

Resolvent analysis is a powerful tool that can reveal the linear amplification mechanisms between the forcing inputs and the response outputs about a base flow. These mechanisms can be revealed in terms of a pair of forcing and response…

We use resolvent analysis to determine an unsteady active control setup to attenuate pressure fluctuations in turbulent supersonic flow over a rectangular cavity with a length-to-depth ratio of 6 at a Mach number of 1.4 and a Reynolds…

Fluid Dynamics · Physics 2021-09-01 Qiong Liu , Yiyang Sun , Chi-An Yeh , Lawrence S. Ukeiley , Louis N. Cattafesta , Kunihiko Taira

The resolvent analysis reveals the worst-case disturbances and the most amplified response in a fluid flow that can develop around a stationary base state. The recent work by Padovan et al.(2020) extended the classical resolvent analysis to…

Fluid Dynamics · Physics 2024-12-16 Md Rashidul Islam , Yiyang Sun

The decomposition of hydrodynamic and acoustic components of cavity flows can aid the understanding of the flow-acoustic interaction, which produces a variety of adverse effects in applications. We apply the approach of combining the…

Fluid Dynamics · Physics 2021-05-19 Qiong Liu , Datta Gaitonde

Resolvent analysis is a powerful tool for modeling and analyzing turbulent flows and in particular provides an approximation of coherent flow structures. Despite recent algorithmic advances, computing resolvent modes for flows with more…

Fluid Dynamics · Physics 2022-09-21 Aaron Towne , Georgios Rigas , Ethan Pickering , Tim Colonius

Transient growth and resolvent analyses are routinely used to assess non-asymptotic properties of fluid flows. In particular, resolvent analysis can be interpreted as a special case of viewing flow dynamics as an open system in which…

Fluid Dynamics · Physics 2020-10-28 Mihailo R. Jovanović

This work introduces a formulation of resolvent analysis that uses wavelet transforms rather than Fourier transforms in time. This allows resolvent analysis to be extended to turbulent flows with non-stationary means in addition to…

Fluid Dynamics · Physics 2022-12-07 Eric Ballouz , Barbara Lopez-Doriga , Scott T. M. Dawson , H. Jane Bae

Self-similarity of wall-attached coherent structures in a turbulent channel at $Re_\tau=543$ is explored by means of resolvent analysis. In this modelling framework, coherent structures are understood to arise as a response of the…

Fluid Dynamics · Physics 2022-04-04 U. Karban , E. Martini , A. V. G. Cavalieri , L. Lesshafft , P. Jordan

We employ a resolvent-based methodology to estimate velocity and pressure fluctuations within turbulent channel flows at friction Reynolds numbers of approximately 180, 550 and 1000 using measurements of shear stress and pressure at the…

Fluid Dynamics · Physics 2021-10-04 Filipe R. Amaral , André V. G. Cavalieri , Eduardo Martini , Peter Jordan , Aaron Towne

High-pressure transcritical fluid flows are central to modern energy and propulsion systems. A key challenge arises in confined configurations, where optimizing performance requires a detailed understanding of the coupled hydrodynamic and…

Fluid Dynamics · Physics 2026-01-21 M. Bernades , J. M. O. Massey , B. J. McKeon , L. Jofre

This work introduces a formulation of resolvent analysis that uses wavelet transforms rather than Fourier transforms in time. Under this formulation, resolvent analysis may extend to turbulent flows with non-stationary mean states; the…

Fluid Dynamics · Physics 2024-11-20 Eric Ballouz , Barbara Lopez-Doriga , Scott T. M. Dawson , H. Jane Bae

We propose a framework that elucidates the input-output characteristics of flows with complex dynamics arising from nonlinear interactions between different time scales. More specifically, we consider a periodically time-varying base flow,…

Fluid Dynamics · Physics 2023-07-19 Alberto Padovan , Samuel E. Otto , Clarence W. Rowley

Traditional resolvent analysis is a powerful framework for identifying the most amplified input-output structures in fluid flows from a stationary base state. Extending this resolvent analysis to periodic base flows poses computational…

Dynamical Systems · Mathematics 2026-03-18 Max Howell , Sicheng He

We combine three-dimensional (3D) large-eddy simulations (LES) and resolvent analysis to design active separation control techniques on a NACA 0012 airfoil. Spanwise-periodic flows over the airfoil at a chord-based Reynolds number of…

Fluid Dynamics · Physics 2019-05-01 Chi-An Yeh , Kunihiko Taira

Resolvent analysis identifies the most responsive forcings and most receptive states of a dynamical system, in an input--output sense, based on its governing equations. Interest in the method has continued to grow during the past decade due…

This paper extends the resolvent formalism for wall turbulence proposed by McKeon and Sharma(2010) to account for the effect of streamwise-constant riblets. Under the resolvent formulation, the Navier-Stokes equations are interpreted as a…

Fluid Dynamics · Physics 2021-01-15 Andrew Chavarin , Mitul Luhar

This investigation aims to assess the effect of different types of actuator forcing on the feedback loop of an under-expanded Mach 1.27 planar impinging jet using a resolvent framework. To this end, we employ a Large Eddy Simulation…

Fluid Dynamics · Physics 2022-04-18 Qiong Liu , Chitrarth Prasad , Datta V. Gaitonde

The flow inside a precessing fluid cavity has been given particular attention since the end of the 19th century in geophysical and industrial contexts. The present study aims at shedding light on the underlying mechanism by which the flow…

Fluid Dynamics · Physics 2015-06-19 Yufeng Lin , Jerome Noir , Andrew Jackson

Turbulent mixing layers over cavities can couple with acoustic waves and lead to undesired oscillations. To understand the nonlinear aspects of this phenomenon, a turbulent mixing layer over a deep cavity at Reynolds number 150 000 is…

Fluid Dynamics · Physics 2019-10-04 Edouard Boujo , Michael Bauerheim , Nicolas Noiray
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