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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…

Fluid Dynamics · Physics 2021-10-26 H. Jane Bae , Scott T. M. Dawson , Beverley J. McKeon

We perform a resolvent analysis of a compressible turbulent jet, where the optimisation domain of the response modes is located in the acoustic field, excluding the hydrodynamic region, in order to promote acoustically efficient modes. We…

Fluid Dynamics · Physics 2024-05-02 B. Bugeat , U. Karban , A. Agarwal , L. Lesshafft , P. Jordan

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…

Fluid Dynamics · Physics 2025-08-06 Eric Ballouz , Scott T. M. Dawson , H. Jane Bae

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…

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…

Fluid Dynamics · Physics 2022-09-21 Aaron Towne , Georgios Rigas , Ethan Pickering , Tim Colonius

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…

Fluid Dynamics · Physics 2021-03-26 Andrew Chavarin , Garazi Gomez-de-Segura , Ricardo Garcia-Mayoral , Mitul Luhar

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…

Fluid Dynamics · Physics 2023-12-27 Eric Ballouz , Scott T. M. Dawson , H. Jane Bae

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…

Fluid Dynamics · Physics 2021-01-15 Andrew Chavarin , Mitul Luhar

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…

Fluid Dynamics · Physics 2018-05-23 Sean Symon , Kevin Rosenberg , Scott T. M. Dawson , 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…

Fluid Dynamics · Physics 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.…

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…

Fluid Dynamics · Physics 2022-05-30 Barbara Lopez-Doriga , Scott T. M. Dawson , Ricardo Vinuesa

Modelling the noise emitted by turbulent jets is made difficult by their acoustic inefficiency: only a tiny fraction of the near-field turbulent kinetic energy is propagated to the far field as acoustic waves. As a result, jet-noise models…

Fluid Dynamics · Physics 2023-07-05 Ugur Karban , Benjamin Bugeat , Aaron Towne , Lutz Lesshafft , Anurag Agarwal , Peter Jordan

Large-eddy simulations of a flat-plate boundary layer, without a leading edge, subject to multiple levels of incoming free stream turbulence are considered in the present work. Within an input-output model where non-linear terms of the…

Fluid Dynamics · Physics 2024-02-19 Diego C. P. Blanco , Ardeshir Hanifi , Dan S. Henningson , André V. G. Cavalieri

The probability density function (PDF) of the gas density in subsonic and supersonic, isothermal, driven turbulence is analyzed with a systematic set of hydrodynamical grid simulations with resolutions up to 1024^3 cells. We performed a…

Solar and Stellar Astrophysics · Physics 2014-11-27 Lukas Konstandin , Philipp Girichidis , Christoph Federrath , Ralf S. Klessen

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…

Fluid Dynamics · Physics 2019-02-07 Kevin Rosenberg , Sean Symon , Beverley J. McKeon

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…

Fluid Dynamics · Physics 2026-05-04 Dušan Božić , Anubhav Dwivedi , Mihailo R. Jovanović

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…

Fluid Dynamics · Physics 2021-10-04 Filipe R. Amaral , André V. G. Cavalieri , Eduardo Martini , Peter Jordan , Aaron Towne

Coherent turbulent wave-packet structures in a jet at Reynolds number 460000 and Mach number 0.4 are extracted from experimental measurements and are modeled as linear fluctuations around the mean flow. The linear model is based on harmonic…

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…

Fluid Dynamics · Physics 2026-01-21 M. Bernades , J. M. O. Massey , B. J. McKeon , L. Jofre
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