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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

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

This work introduces a variant of resolvent analysis that identifies forcing and response modes that are sparse in both space and time. This is achieved through the use of a sparse principal component analysis (PCA) algorithm, which…

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

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

The adoption of cardiovascular simulations for diagnosis and surgical planning on a patient-specific basis requires the development of faster methods than the existing state-of-the-art techniques. To address this need, we leverage the…

数值分析 · 数学 2024-12-10 Dongjie Jia , Mahdi Esmaily

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

We derive a phase-averaged representation of transient flows based on the eigenmodes of a data-driven linear operator that approximates the Navier-Stokes dynamics. In performing phase averaging, it is assumed that, at each instant during…

流体动力学 · 物理学 2025-10-30 Yuto Nakamura , Yuma Kuroda , Shintaro Sato , Naofumi Ohnishi

We analyze the perturbation dynamics of a complex supersonic multi-stream rectangular jet. The dynamics are examined through application of spectral proper orthogonal decomposition (SPOD) to elicit coherent structure and linear resolvent…

流体动力学 · 物理学 2025-04-04 Mitesh Thakor , Datta V. Gaitonde , Yiyang Sun

The ability of linear stochastic response analysis to estimate coherent motions is investigated in turbulent channel flow at friction Reynolds number Re$_\tau$ = 1007. The analysis is performed for spatial scales characteristic of…

流体动力学 · 物理学 2021-02-02 Pierluigi Morra , Onofrio Semeraro , Dan S. Henningson , Carlo Cossu

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

Understanding the linear growth of disturbances due to external forcing is crucial for flow stability analysis, flow control, and uncertainty quantification. These applications typically require a large number of forward simulations of the…

流体动力学 · 物理学 2024-08-07 Alireza Amiri-Margavi , Hessam Babaee

In the present study, the efficiency of preconditioners for solving linear systems associated with the discretized variable-density incompressible Navier-Stokes equations with semiimplicit second-order accuracy in time and spectral accuracy…

流体动力学 · 物理学 2024-03-12 L. Reynier , Bastien Di Pierro , Frédéric Alizard , Anne Cadiou , Lionel Le Penven , Marc Buffat

We propose, analyze, and test an efficient splitting iteration for solving the incompressible, steady Navier-Stokes equations in the setting where partial solution data is known. The (possibly noisy) solution data is incorporated into a…

数值分析 · 数学 2025-09-17 Victoria L. Fisher , Leo G. Rebholz , Duygu Vargun

This paper presents a robust, adaptive numerical scheme for simulating high density ratio and high shear multiphase flows on locally refined Cartesian grids that adapt to the evolving interfaces and track regions of high vorticity. The…

The interaction between shear driven turbulence and stratification is a key process in a wide array of geophysical flows with spatio-temporal scales that span many orders of magnitude. A quick numerical model prediction based on external…

流体动力学 · 物理学 2021-08-18 M. A. Ahmed , H. J. Bae , A. F. Thompson , B. J. McKeon

This work applies Resolvent Analysis (RA) to study the dynamics of a hydrogen-air slot flame with a Reynolds number of 5500, a Karlovitz number of 20, and an equivalence ratio of 0.4. Direct Numerical Simulations (DNS) data are analyzed…

流体动力学 · 物理学 2026-03-31 Anant Talasikar , Marina Matthaiou , Michael Gauding , Heinz Pitsch , Thomas Ludwig Kaiser

Recently, there has been a great interest in analysing dynamical flows, where the stationary limit is the minimiser of a convex energy. Particular flows of great interest have been continuous limits of Nesterov's algorithm and the Fast…

最优化与控制 · 数学 2021-06-29 Radu Boţ , Guozhi Dong , Peter Elbau , Otmar Scherzer

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

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

An analytical framework for studying the logarithmic region of turbulent channels is formulated. We build on recent findings (Moarref et al., J. Fluid Mech., 734, 2013) that the velocity fluctuations in the logarithmic region can be…

流体动力学 · 物理学 2014-09-23 Rashad Moarref , Ati S. Sharma , Joel A. Tropp , Beverley J. McKeon