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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…

流体动力学 · 物理学 2024-12-16 Md Rashidul Islam , Yiyang Sun

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…

流体动力学 · 物理学 2024-04-29 Laura Victoria Rolandi , Jean Hélder Marques Ribeiro , Chi-An Yeh , Kunihiko Taira

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…

动力系统 · 数学 2026-03-18 Max Howell , Sicheng He

We extend linear input/output (resolvent) analysis to take into account nonlinear triadic interactions by considering a finite number of harmonics in the frequency domain using the harmonic balance method. Forcing mechanisms that maximize…

流体动力学 · 物理学 2021-02-24 Georgios Rigas , Denis Sipp , Tim Colonius

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…

流体动力学 · 物理学 2024-11-20 Eric Ballouz , Barbara Lopez-Doriga , Scott T. M. Dawson , H. Jane Bae

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…

流体动力学 · 物理学 2022-05-30 Barbara Lopez-Doriga , Scott T. M. Dawson , Ricardo Vinuesa

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…

流体动力学 · 物理学 2019-09-16 Yiyang Sun , Qiong Liu , Louis N. Cattafesta , Lawrence S. Ukeiley , Kunihiko Taira

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…

流体动力学 · 物理学 2022-12-07 Eric Ballouz , Barbara Lopez-Doriga , Scott T. M. Dawson , H. Jane Bae

We develop a perturbation-based frequency-response framework for analyzing amplification mechanisms that are central to subcritical routes to transition in wall-bounded shear flows. By systematically expanding the input-output dynamics of…

流体动力学 · 物理学 2026-05-04 Dušan Božić , Anubhav Dwivedi , Mihailo R. Jovanović

The quadratic convection term in the incompressible Navier-Stokes equations is considered as a nonlinear forcing to the linear resolvent operator, and it is studied in the Fourier domain through the analysis of interactions between…

流体动力学 · 物理学 2025-03-11 Yuting Huang , Simon S. Toedtli , Gregory P. Chini , Beverley J. McKeon

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…

流体动力学 · 物理学 2026-01-21 M. Bernades , J. M. O. Massey , B. J. McKeon , L. Jofre

This paper introduces a new operator relevant to input-output analysis of flows in a statistically steady regime far from the steady base flow: the mean resolvent $\mathbf{R}_0$. It is defined as the operator predicting, in the frequency…

流体动力学 · 物理学 2023-08-16 Colin Leclercq , Denis Sipp

Triadic interactions are the fundamental mechanism of energy transfer in fluid flows. This work introduces bispectral mode decomposition as a direct means of educing flow structures that are associated with triadic interactions from…

流体动力学 · 物理学 2021-01-20 Oliver T. Schmidt

We study the effectiveness of the time-localised principal resolvent forcing mode at actuating the near wall cycle of turbulence. The mode is restricted to a wavelet pulse and computed from an SVD of the windowed wavelet-based resolvent…

流体动力学 · 物理学 2025-08-06 Eric Ballouz , Scott T. M. Dawson , H. Jane Bae

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…

流体动力学 · 物理学 2020-10-28 Mihailo R. Jovanović

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…

流体动力学 · 物理学 2019-05-01 Chi-An Yeh , Kunihiko Taira

We investigate the modal and non-modal linear amplification mechanisms in the flow over a subsonic open cavity and their subsequent interactions to identify optimal flow perturbations that propagate downstream the cavity and trigger flow…

流体动力学 · 物理学 2025-11-18 Md Rashidul Islam , Yiyang Sun

We present a theoretical method to generate a highly accurate {\em time-independent} Hamiltonian governing the finite-time behavior of a time-periodic system. The method exploits infinitesimal unitary transformation steps, from which…

统计力学 · 物理学 2019-05-30 Michael Vogl , Pontus Laurell , Aaron D. Barr , Gregory A. Fiete

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…

流体动力学 · 物理学 2021-09-01 Qiong Liu , Yiyang Sun , Chi-An Yeh , Lawrence S. Ukeiley , Louis N. Cattafesta , Kunihiko Taira

We present an optimization-based method to efficiently calculate accurate nonlinear models of Taylor vortex flow. We use the resolvent formulation of McKeon & Sharma (2010) to model these Taylor vortex solutions by treating the nonlinearity…

流体动力学 · 物理学 2021-09-01 Benedikt Barthel , Xiaojue Zhu , Beverley J. McKeon
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