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During the last decade, forcing and response modes produced by resolvent analysis have demonstrated great potential to guide sensor and actuator placement and design in flow control applications. However, resolvent modes are…

In this essay, we recall the specificities of the transition to turbulence in wall-bounded flows and present recent achievements in the understanding of this problem. The transition is abrupt with laminar-turbulent coexistence over a finite…

Fluid Dynamics · Physics 2016-04-05 Paul Manneville

Input-output analysis of transitional channel flows has proven to be a valuable analytical tool for identifying important flow structures and energetic motions. The traditional approach abstracts the nonlinear terms as forcing that is…

Fluid Dynamics · Physics 2021-11-16 Chang Liu , Dennice F. Gayme

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…

Fluid Dynamics · Physics 2025-03-06 Diganta Bhattacharjee , Talha Mushtaq , Peter Seiler , Maziar S. Hemati

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…

Fluid Dynamics · Physics 2024-03-11 Yitong Fan , Bo Chen , Weipeng Li

We use resolvent analysis to determine an unsteady active control setup to attenuate pressure fluctuations in turbulent supersonic flow over a rectangular cavity with a length-to-depth ratio of 6 at a Mach number of 1.4 and a Reynolds…

Fluid Dynamics · Physics 2021-09-01 Qiong Liu , Yiyang Sun , Chi-An Yeh , Lawrence S. Ukeiley , Louis N. Cattafesta , Kunihiko Taira

Spatially localized states play an important role in transition to turbulence in shear flows (Kawahara, Uhlmann & van Veen, Annu. Rev. Fluid Mech. 44, 203 (2012)). Despite the fact that some of them are attractors on the separatrix between…

Fluid Dynamics · Physics 2016-04-18 Rishabh Gvalani , Cédric Beaume

We utilize the externally forced linearized Navier-Stokes equations to study the receptivity of pre-transitional boundary layers to persistent sources of stochastic excitation. Stochastic forcing is used to model the effect of free-stream…

Fluid Dynamics · Physics 2019-09-09 Wei Ran , Armin Zare , M. J. Philipp Hack , Mihailo R. Jovanović

We examine the efficacy of streamwise traveling waves generated by a zero-net-mass-flux surface blowing and suction for controlling the onset of turbulence in a channel flow. For small amplitude actuation, we utilize weakly nonlinear…

Fluid Dynamics · Physics 2011-11-29 Rashad Moarref , Mihailo R. Jovanović

Self-similarity of wall-attached coherent structures in a turbulent channel at $Re_\tau=543$ is explored by means of resolvent analysis. In this modelling framework, coherent structures are understood to arise as a response of the…

Fluid Dynamics · Physics 2022-04-04 U. Karban , E. Martini , A. V. G. Cavalieri , L. Lesshafft , P. Jordan

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

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

Wavelet basis functions are a natural tool for analyzing turbulent flows containing localized coherent structures of different spatial scales. Here, wavelets are used to study the onset and subsequent transition to fully developed…

Plasma Physics · Physics 2022-04-13 Ari Le , Vadim Roytershteyn , Homa Karimabadi , Adam Stanier , Luis Chacon , Kai Schneider

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

A theoretical analysis is presented for turbulent flows, applicable for canonical (channel, boundary-layer and free jet) geometries. Momentum and energy balance for a control volume moving at the local mean velocity decouples the…

Fluid Dynamics · Physics 2021-02-24 T. -W. Lee

The structural properties of an economical model for a confined plasma turbulence governor are investigated through bifurcation and stability analyses. A close relationship is demonstrated between the underlying bifurcation framework of the…

Plasma Physics · Physics 2009-11-07 R. Ball , R. L. Dewar , H. Sugama

This paper provides a prescription for the turbulent viscosity in rotating shear flows for use e.g. in geophysical and astrophysical contexts. This prescription is the result of the detailed analysis of the experimental data obtained in…

Fluid Dynamics · Physics 2015-05-28 B. Dubrulle , O. Dauchot , F. Daviaud , P-Y. Longaretti , D. Richard , J-P. Zahn

We present an analysis of the coherent structures in Langmuir turbulence, a state of the ocean surface boundary layer driven by the interactions between water waves and wind-induced shear, via a resolvent framework. Langmuir turbulence is…

Fluid Dynamics · Physics 2026-01-14 Anqing Xuan , Lian Shen

Turbulence remains one of the last unresolved problems of classical physics and a major bottleneck to accurate flow prediction in climate, aerospace, and energy systems. Industrial simulations therefore rely on averaged representations of…

Fluid Dynamics · Physics 2026-05-18 Zhuoran Liu , Haochen Wang , Zhuolin Zhao , Heng Xiao

We propose a framework that elucidates the input-output characteristics of flows with complex dynamics arising from nonlinear interactions between different time scales. More specifically, we consider a periodically time-varying base flow,…

Fluid Dynamics · Physics 2023-07-19 Alberto Padovan , Samuel E. Otto , Clarence W. Rowley