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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

This work introduces a formulation of resolvent analysis that uses wavelet transforms rather than Fourier transforms in time. Under this formulation, resolvent analysis may extend to turbulent flows with non-stationary mean states; the…

Fluid Dynamics · Physics 2024-11-20 Eric Ballouz , Barbara Lopez-Doriga , Scott T. M. Dawson , H. Jane Bae

The nonlinear mechanism in the self-sustaining process (SSP) of wall-bounded turbulence is investigated. Resolvent analysis is used to identify the principal forcing mode which produces the maximum amplification of the velocities in…

Fluid Dynamics · Physics 2021-10-26 Hyunji Jane Bae , Adrian Lozano-Duran , Beverley J. McKeon

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…

Fluid Dynamics · Physics 2022-12-07 Eric Ballouz , Barbara Lopez-Doriga , 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

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

The fluid dynamics community has found success in explaining both the onset and coherent structure formation in wall-bounded turbulence through examining transient growth and pseudoresonance. Whether similar effects are important in plasmas…

Plasma Physics · Physics 2024-11-01 Elias Pratschke

A direct transient growth analysis for three-dimensional perturbations to flow past a periodic array of T-106/300 low-pressure turbine fan blades is presented. The methodology is based on a singular value decomposition of the flow evolution…

Fluid Dynamics · Physics 2013-02-13 AS Sharma , N Abdessemed , SJ Sherwin , V Theofilis

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

For channel flow at subcritical Reynolds numbers ($Re<5772$), a laminar-to-turbulent transition can emerge due to a large transient amplification in the kinetic energy of small perturbations, resulting in an increase in drag at the walls.…

Fluid Dynamics · Physics 2019-09-13 Yiyang Sun , Maziar S. Hemati

Transient growth and resolvent analyses are routinely used to assess non-asymptotic properties of fluid flows. In particular, resolvent analysis can be interpreted as a special case of viewing flow dynamics as an open system in which…

Fluid Dynamics · Physics 2020-10-28 Mihailo R. Jovanović

Despite the nonlinear nature of turbulence, there is evidence that part of the energy-transfer mechanisms sustaining wall turbulence can be ascribed to linear processes. The different scenarios stem from linear stability theory and comprise…

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

A new slow growth formulation for DNS of wall-bounded turbulent flow is developed and demonstrated to enable extension of slow growth modeling concepts to complex boundary layer flows. As in previous slow growth approaches, the formulation…

Fluid Dynamics · Physics 2017-08-16 Victor Topalian , Todd A. Oliver , Rhys Ulerich , Robert D. Moser

Linear transient growth analysis is commonly used to suggest the structure of disturbances which are particularly efficient in triggering transition to turbulence in shear flows. We demonstrate that the addition of nonlinearity to the…

Fluid Dynamics · Physics 2010-09-06 Chris C. T. Pringle , Rich R. Kerswell

The temporal modal and nonmodal growth of three-dimensional perturbations in the boundary-layer flow over an infinite compliant flat wall is considered. Using a wall-normal velocity/wall-normal vorticity formalism, the dynamic boundary…

Fluid Dynamics · Physics 2022-09-29 M. Malik , Martin Skote , Roland Bouffanais

We study the Reynolds number scaling and the geometric self-similarity of a gain-based, low-rank approximation to turbulent channel flows, determined by the resolvent formulation of McKeon & Sharma (2010), in order to obtain a description…

Fluid Dynamics · Physics 2014-05-22 Rashad Moarref , Ati S. Sharma , Joel A. Tropp , Beverley J. McKeon

Modal linear stability analysis has proven very successful in the analysis of coherent structures of turbulent flows. Formally, it describes the evolution of a disturbance in the limit of infinite time. In this work we apply modal linear…

Fluid Dynamics · Physics 2016-05-03 Lothar Rukes , Moritz Sieber , Oliver Paschereit , Kilian Oberleithner

This study investigates the minimal seed for laminar-to-turbulent transition in a supersonic boundary layer at $M=3.0$ and $Re=300$ using adjoint-based nonlinear non-modal analysis. While linear theory identifies oblique waves as the…

Fluid Dynamics · Physics 2026-01-21 Nobutaka Taniguchi , Aiko Yakeno

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
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