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We use the feedback loop of McKeon \& Sharma (2010), where the nonlinear term in the Navier-Stokes equations is treated as an intrinsic forcing of the linear resolvent operator, to educe the structure of fluctuations in the range of scales…

流体动力学 · 物理学 2019-02-07 Kevin Rosenberg , Sean Symon , Beverley J. McKeon

We present a phase-based framework for reducing the pressure fluctuations within a spanwise-periodic supersonic turbulent cavity flow with an incoming free-stream Mach number of 1.4 and a depth-based Reynolds number of 10,000. Open cavity…

Resolvent analysis provides a framework to predict coherent spatio-temporal structures of largest linear energy amplification, through a singular value decomposition (SVD) of the resolvent operator, obtained by linearizing the Navier-Stokes…

流体动力学 · 物理学 2024-10-01 Barbara Lopez-Doriga , Eric Ballouz , H. Jane Bae , Scott T. M. Dawson

An analysis of the statistics of the non-linear terms in resolvent analysis is performed in this work for turbulent Couette flow at low Reynolds number. Data from a direct numerical simulation of a minimal flow unit, at Reynolds number 400,…

Resolvent analysis of the linearized Navier-Stokes equations provides useful insight into the dynamics of transitional and turbulent flows and can provide a model for the dominant coherent structures within the flow, particularly for flows…

流体动力学 · 物理学 2021-07-01 Eduardo Martini , Daniel Rodríguez , Aaron Towne , André V. G. Cavalieri

The resolvent formulation of McKeon & Sharma (2010) is applied to supersonic turbulent boundary layers to study the validity of Morkovin's hypothesis, which postulates that high-speed turbulence structures in zero pressure-gradient…

流体动力学 · 物理学 2021-10-26 H. Jane Bae , Scott T. M. Dawson , Beverley J. McKeon

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

The Rossiter modes of an open cavity were studied using global linear analysis and nonlinear numerical simulations. The length over depth ratio was two and the Reynolds numbers based on cavity depth were close to 1000. The effect of Mach on…

流体动力学 · 物理学 2022-05-30 Marlon Sproesser Mathias , Marcello Augusto Faraco de Medeiros

We develop a method to estimate space-time flow statistics from a limited set of known data. While previous work has focused on modeling spatial or temporal statistics independently, space-time statistics carry fundamental information about…

流体动力学 · 物理学 2020-01-08 Aaron Towne , Adrian Lozano-Duran , Xiang Yang

Experimental mean flows are commonly used to study wall-bounded turbulence. However, these measurements are often unable to resolve the near-wall region and thus introduce ambiguity in the velocity closest to the wall. This poses a source…

流体动力学 · 物理学 2025-11-04 Salvador Rey Gomez , Tomek Jaroslawski

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

Recent simulations indicate that streamwise-preferential porous materials have the potential to reduce drag in wall-bounded turbulent flows(Gomez-de-Segura & Garcia-Mayoral 2019). This paper extends the resolvent formulation to study the…

流体动力学 · 物理学 2021-03-26 Andrew Chavarin , Garazi Gomez-de-Segura , Ricardo Garcia-Mayoral , Mitul Luhar

A novel reduced-order model for nonlinear flows is presented. The model arises from a resolvent decomposition in which the nonlinear advection terms of the Navier-Stokes equation are considered as the input to a linear system in Fourier…

流体动力学 · 物理学 2016-06-16 F Gómez , HM Blackburn , M Rudman , AS Sharma , BJ McKeon

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…

流体动力学 · 物理学 2021-01-15 Andrew Chavarin , Mitul Luhar

The mean resolvent operator predicts, in the frequency domain, the mean linear response to forcing. As such, it provides the optimal linear time-invariant approximation of the input-output dynamics of time-varying flows in the statistically…

流体动力学 · 物理学 2025-10-16 Alessandro Bongarzone , Cédric Content , Denis Sipp , Colin Leclercq

We seek to quantify non-normality of the most amplified resolvent modes and predict their features based on the characteristics of the base or mean velocity profile. A 2-by-2 model linear Navier-Stokes (LNS) operator illustrates how…

流体动力学 · 物理学 2018-05-23 Sean Symon , Kevin Rosenberg , Scott T. M. Dawson , Beverley J. McKeon

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…

流体动力学 · 物理学 2019-10-04 Edouard Boujo , Michael Bauerheim , Nicolas Noiray

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

We propose a novel framework for approximating the statistical properties of turbulent flows by combining variational methods for the search of unstable periodic orbits with resolvent analysis for dimensionality reduction. Traditional…

混沌动力学 · 物理学 2025-01-22 Thomas Burton , Sean Symon , Ati Sharma , Davide Lasagna

The flows around a NACA 0018 airfoil at a Reynolds number of 10250 and angles of attack of alpha = 0 (A0) and alpha = 10 (A10) are modelled using resolvent analysis and limited experimental measurements obtained from particle image…

流体动力学 · 物理学 2020-01-08 Sean Symon , Denis Sipp , Beverley J. McKeon