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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

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

Resolvent analysis has demonstrated encouraging results for modeling coherent structures in jets when compared against their data-educed counterparts from high-fidelity large-eddy simulations (LES). We formulate resolvent analysis as an…

流体动力学 · 物理学 2024-06-19 Ethan Pickering , Aaron Towne , Peter Jordan , Tim Colonius

The recently introduced structured input-output analysis is a powerful method for capturing nonlinear phenomena associated with incompressible flows, and this paper extends that method to the compressible regime. The proposed method relies…

流体动力学 · 物理学 2025-03-06 Diganta Bhattacharjee , Talha Mushtaq , Peter Seiler , Maziar S. Hemati

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

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,…

The predictions of resolvent analysis for turbulent channel flow are evaluated for a friction Reynolds number of Retau = 550. In addition to the standard resolvent operator with kinematic viscosity, a resolvent operator augmented with the…

流体动力学 · 物理学 2022-05-24 Sean Symon , Anagha Madhusudanan , Simon J. Illingworth , Ivan Marusic

This paper extends the resolvent formulation proposed by McKeon & Sharma (2010) to consider turbulence-compliant wall interactions. Under this formulation, the turbulent velocity field is expressed as a linear superposition of propagating…

流体动力学 · 物理学 2015-06-09 M. Luhar , A. S. Sharma , B. J. McKeon

An extended version of the resolvent formulation is used to evaluate the use of anisotropic porous materials as passive flow control devices for turbulent channel flow. The effect of these porous substrates is introduced into the governing…

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

We identify forcing mechanisms that separately amplify subsonic and supersonic features obtained from a linearized Navier-Stokes based model for compressible parallel boundary layers. Resolvent analysis is used to analyse the linear model,…

流体动力学 · 物理学 2025-01-29 Anagha Madhusudanan , Gregory Stroot , Beverley J. McKeon

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

The cross-spectral density (CSD) of the non-linear forcing in resolvent analyses is here quantified for the first time for turbulent channel flows. Direct numerical simulations (DNS) at $Re_{\tau} =179$ and $Re_{\tau} =543$ are performed.…

We combine resolvent-mode decomposition with techniques from convex optimization to optimally approximate velocity spectra in a turbulent channel. The velocity is expressed as a weighted sum of resolvent modes that are dynamically…

流体动力学 · 物理学 2014-05-22 R. Moarref , M. R. Jovanovic , J. A. Tropp , A. S. Sharma , B. J. McKeon

We present a construction of isotropic boundary adapted wavelets, which are orthogonal and yield a multi-resolution analysis. We analyze direct numerical simulation data of turbulent channel flow computed at a friction Reynolds number of…

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

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

A numerical study of the problem of laminar infinite flow of viscous incompressible fluid around a rotating circular cylinder at Reynolds number $ 50 \le {\rm Re} \le 500 $ and dimensionless rotation rate $ 0 \le \alpha \le 7 $ has been…

流体动力学 · 物理学 2013-12-11 E. I. Kalinin , A. B. Mazo

In this work, we study the transient growth of the principal resolvent modes in the minimal flow unit using a reformulation of resolvent analysis in a time-localized wavelet basis. We target the most energetic spatial wavenumbers for the…

流体动力学 · 物理学 2023-12-27 Eric Ballouz , Scott T. M. Dawson , H. Jane Bae

We perform resolvent analysis to examine the perturbation dynamics over the laminar separation bubble (LSB) that forms near the leading edge of a NACA 0012 airfoil at a chord-based Reynolds number of 500,000 and an angle of attack of 8…

流体动力学 · 物理学 2020-08-03 Chi-An Yeh , Stuart I. Benton , Kunihiko Taira , Daniel J. Garmann

With a view to identifying and understanding the linear receptivity and amplification mechanisms that underpin laminar-to-turbulent transition over blunt bodies in hypersonic flow, we use resolvent analysis to study the flow over a blunt…

流体动力学 · 物理学 2026-01-06 N. d'Eprémesnil , C. Caillaud , G. Lehnasch , M. Olazabal , P. Jordan