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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…

流体动力学 · 物理学 2022-09-21 Aaron Towne , Georgios Rigas , Ethan Pickering , Tim Colonius

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

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

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…

流体动力学 · 物理学 2021-05-19 Benjamin Herrmann , Peter J. Baddoo , Richard Semaan , Steven L. Brunton , Beverley J. McKeon

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

A resolvent-based methodology is employed to obtain spatio--temporal estimates of turbulent pipe flow from probe measurements of wall shear-stress fluctuations. Direct numerical simulations (DNS) and large-eddy simulations (LES) of…

流体动力学 · 物理学 2023-08-01 Filipe Ramos do Amaral , André Valdetaro Gomes Cavalieri

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,…

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…

流体动力学 · 物理学 2021-10-04 Filipe R. Amaral , André V. G. Cavalieri , Eduardo Martini , Peter Jordan , Aaron Towne

In fluid physics, data-driven models to enhance or accelerate solution methods are becoming increasingly popular for many application domains, such as alternatives to turbulence closures, system surrogates, or for new physics discovery. In…

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

We consider a test problem for Navier-Stokes solvers based on the flow around a cylinder that exhibits chaotic behavior, to examine the behavior of various numerical methods. We choose a range of Reynolds numbers for which the flow is…

数值分析 · 数学 2024-08-19 Henry von Wahl , L. Ridgway Scott

A novel method to estimate unsteady aerodynamic force coefficients from pointwise velocity measurements is presented. The methodology is based on a resolvent-based reduced-order model which requires the mean flow to obtain physical flow…

流体动力学 · 物理学 2016-09-21 F. Gómez , A. S. Sharma , H. M. Blackburn

The resolvent formulation of the Navier$\text{--}$Stokes equations gives a means for the characterization and prediction of features of turbulent flows$\text{---}$such as statistics, structures and their nonlinear…

流体动力学 · 物理学 2019-08-28 Scott T. M. Dawson , Beverley J. McKeon

A modelling framework based on the resolvent analysis and machine learning is proposed to predict the turbulent energy in incompressible channel flows. In the framework, the optimal resolvent response modes are selected as the basis…

流体动力学 · 物理学 2024-03-11 Yitong Fan , Bo Chen , Weipeng Li

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

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

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

A simple analytical model for a turbulent flow is proposed, which considers the flow as a collection of localized spatial structures that are composed of elementary "cells" in which the state of the particles (atoms or molecules) is…

流体动力学 · 物理学 2013-04-09 Sergei F. Chekmarev

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

We present a resolvent-based framework for estimating turbulent velocity fluctuations in the wake of a spanwise-periodic NACA0012 airfoil at Mach 0.3, Reynolds number 23,000, and an angle of attack of 6 degrees. Building on the methodology…

流体动力学 · 物理学 2025-07-28 Junoh Jung , Aaron Towne
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