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Aspects of transition mechanisms on a $14^{\circ}$ sharp-nosed ogive-cylinder at Mach~$6$ are elucidated by considering linear and nonlinear disturbance evolution of freestream stochastic and wave packet forcing at different locations…

Fluid Dynamics · Physics 2022-10-12 Hemanth Goparaju , Kunal Kanawade , S Unnikrishnan , Datta V Gaitonde

It has often been proposed that the formation of large-scale motion (or bulges) is a consequence of successive mergers and/or growth of near-wall hairpin vortices. In the present study, we report our direct observation that large-scale…

Fluid Dynamics · Physics 2017-11-01 Matteo de Giovanetti , Hyung Jin Sung , Yongyun Hwang

The two-way interaction between the unsteady flame heat release rate and acoustic waves can lead to combustion instability within combustors. To understand and quantify the flame response to oncoming acoustic waves, previous studies have…

Fluid Dynamics · Physics 2024-01-17 Xiaozhen Jiang , Jingxuan Li , Aimee S. Morgans , Lijun Yang , Lei Li , Tengyu Liu

Weakly nonlinear amplitude equations are derived for the onset of spatially extended patterns on a general class of n-component bulk-surface reaction-diffusion systems in a ball, under the assumption of linear kinetics in the bulk and…

Pattern Formation and Solitons · Physics 2025-05-27 Edgardo Villar-Sepúlveda , Alan R. Champneys , Davide Cusseddu , Anotida Madzvamuse

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

This work extends the input-output approach to the study of wall-bounded shear flows manipulated using actuators common in experimental flow control studies. In particular, we adapt this powerful analytical framework to investigate the flow…

Fluid Dynamics · Physics 2021-05-12 Igal Gluzman , Dennice F. Gayme

Resolvent analysis is used to study the low-frequency behaviour of the laminar oblique shock wave / boundary layer interaction (SWBLI). It is shown that the computed optimal gain, which can be seen as a transfer function of the system,…

Fluid Dynamics · Physics 2022-06-08 B. Bugeat , J. -C. Robinet , J. -C. Chassaing , P. Sagaut

We show how pattern formation in Faraday waves may be manipulated by varying the harmonic content of the periodic forcing function. Our approach relies on the crucial influence of resonant triad interactions coupling pairs of critical…

Pattern Formation and Solitons · Physics 2009-11-10 Chad M. Topaz , Jeff Porter , Mary Silber

We consider fluid flows for which the linearized Navier-Stokes operator is strongly non-normal. The responses of such flows to external perturbations are spanned by a generically very large number of non-orthogonal eigenmodes. They are…

Fluid Dynamics · Physics 2025-07-11 Yves-Marie Ducimetière , François Gallaire

This work builds upon recent work exploiting the notion of structured singular values to capture nonlinear interactions in the analysis of wall-bounded shear flows. In this context, the structured uncertainty can be interpreted in terms of…

Fluid Dynamics · Physics 2023-03-21 Chang Liu , Yu Shuai , Aishwarya Rath , Dennice F. Gayme

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,…

Fluid Dynamics · Physics 2025-01-29 Anagha Madhusudanan , Gregory Stroot , Beverley J. McKeon

We investigate the response of two-dimensional pattern forming systems with a broken up-down symmetry, such as chemical reactions, to spatially resonant forcing and propose related experiments. The nonlinear behavior immediately above…

Pattern Formation and Solitons · Physics 2009-11-10 R. Peter , M. Hilt , F. Ziebert , J. Bammert , C. Erlenkämper , N. Lorscheid , C. Weitenberg , A. Winter , M. Hammele , W. Zimmermann

We investigate the broadband turbulent dynamics of attached and separated flows over a Gaussian bump, focusing on the origin of low-frequency coherent structures. The analysis combines time-resolved experimental measurements with…

This paper develops a spatial input-output approach to investigate the dynamics of a turbulent boundary layer subject to a localized single frequency excitation. This method uses one-way spatial integration to reformulate the problem in…

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

The mechanisms governing the low-frequency unsteadiness in the shock wave/turbulent boundary layer interaction at Mach 2 are considered. The investigation is conducted based on the numerical database issued from large-eddy simulations…

Fluid Dynamics · Physics 2021-07-07 Kenzo Sasaki , Diogo C. Barros , André V. G. Cavalieri , Lionel Larchevêque

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…

The current work presents an experimental investigation of the dynamic interactions between flow scales caused by repeated actions of the nonlinear term of the Navier-Stokes equation. Injecting a narrow band oscillation, representing a…

Non-modal amplification of disturbances in streamwise-constant channel flows of Oldroyd-B fluids is studied from an input-output point of view by analyzing the responses of the velocity components to spatio-temporal body forces. These…

Fluid Dynamics · Physics 2012-06-04 Nazish Hoda , Mihailo R. Jovanović , Satish Kumar

Periodically forced, oscillatory fluid flows have been the focus of intense research for decades due to their richness as a nonlinear dynamical system and their relevance to applications in transportation, aeronautics, and energy…

Fluid Dynamics · Physics 2020-02-03 Benjamin Herrmann , Philipp Oswald , Richard Semaan , Steven L. Brunton