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The onset of shear flow turbulence is characterized by turbulent patches bounded by regions of laminar flow. At low Reynolds numbers localized turbulence relaminarises, raising the question of whether it is transient in nature or it becomes…

Fluid Dynamics · Physics 2014-03-31 M. Avila , A. P. Willis , B. Hof

We examine the spectrum of small perturbations around global and local (gauge) abelian vortices, using simple numerical matrix techniques. The results are of interest for both cosmic strings and for their condensed matter analogues,…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Goodband , M. Hindmarsh

We investigate a fluid-structure interaction system in which the dynamics of the fluid is described by the compressible Navier-Stokes equations, while the elastic structure is modeled by a damped plate equation. The fluid evolves in a…

Analysis of PDEs · Mathematics 2026-04-20 Kuntal Bhandari , Imene Aicha Djebour , Šárka Nečasová

Optimal transitional mechanisms are analysed for an incompressible shear layer developing over a short, pressure gradient-induced laminar separation bubble (LSB) with peak reversed flow of 2%. Although the bubble remains globally stable,…

Fluid Dynamics · Physics 2025-08-13 Flavio Savarino , Denis Sipp , Georgios Rigas

This paper discusses the effect of rotation on the boundary layer in high Reynolds number flow over a ridge using a numerical method based on stabilised finite elements that captures steady solutions up to Reynolds number of order $10^6$.…

Fluid Dynamics · Physics 2024-02-27 Stefan Frei , Erik Burman , Edward R Johnson

Laminar-turbulent transition on a rotating wind turbine blade at a chord Reynolds number of $1 \times 10^5$ and varying angles of attack ($AoA$) is studied with direct numerical simulations and linear stability theory. The rotation effects…

Fluid Dynamics · Physics 2023-08-01 Thales Coelho Leite Fava , Dan Henningson , Ardeshir Hanifi

Results of numerical simulations obtained by a staggered finite difference scheme together with an efficient immersed boundary method are presented to understand the effects of the shape of three-dimensional obstacles on the transition of a…

Fluid Dynamics · Physics 2015-03-31 Paolo Orlandi , Sergio Pirozzoli , Matteo Bernardini

Although the equations governing fluid flow are well known, there are no analytical expressions that describe the complexity of turbulent motion. A recent proposition is that in analogy to low dimensional chaotic systems, turbulence is…

Fluid Dynamics · Physics 2013-06-11 Marc Avila , Fernando Mellibovsky , Nicolas Roland , Bjoern Hof

We investigated the stability of the bottom boundary layer (BBL) beneath periodic internal solitary waves (ISWs) of depression over a flat bottom through two-dimensional direct numerical simulations. We explored the effects of variation in…

Fluid Dynamics · Physics 2023-11-01 Andres Posada-Bedoya , Jason Olsthoorn , Leon Boegman

The transition to turbulence in many shear flows proceeds along two competing routes, one linked with finite-amplitude disturbances and the other one originating from a linear instability, as in e.g. boundary layer flows. The dynamical…

Fluid Dynamics · Physics 2020-12-30 Miguel Beneitez , Yohann Duguet , Dan S. Henningson

This study investigates the low-frequency dynamics of a turbulent separation bubble (TSB) over a backward-facing ramp, with a focus on large-scale coherent structures associated with the so-called 'breathing motion'. Using time-resolved…

The emergence of localised vibrations in cyclic and symmetric rotating structures, such as bladed disks of aircraft engines, has challenged engineers in the past few decades. In the linear regime, localised states may arise due to a lack of…

Pattern Formation and Solitons · Physics 2018-09-26 Filipe Fontanela , Aurelien Grolet , Loic Salles , Amin Chabchoub , Alan Champneys , Sophoclis Patsias , Norbert Hoffmann

This paper presents the linear global stability analysis of the incompressible axisymmetric boundary layer on a circular cylinder. The base flow is parallel to the axis of the cylinder at inlet. The pressure gradient is zero in the…

Fluid Dynamics · Physics 2016-09-16 N. Vinod , Ramesh Bhoraniya

The prediction of turbulent boundary layer (TBL) flow over a convex surface as in aircraft wings or gas turbine blades is a challenging problem. Finding a universal scaling law of turbulence statistics of TBLs over a wide range of adverse…

Fluid Dynamics · Physics 2019-12-12 Atsushi Sekimoto , Vassili Kitsios , Callum Atkinson , Julio Soria

Self-propelled particles can navigate complex environments, including viscous fluid interfaces with curved geometries. In this work, we study the emergent dynamics of a suspension of self-propelled particles confined to a stationary curved…

Fluid Dynamics · Physics 2026-04-17 Yuzhu Chen , Vishal P. Patil , David Saintillan

A variational technique is used to derive analytical expressions for the sensitivity of several geometric indicators of flow separation to steady actuation. Considering the boundary layer flow above a wall-mounted bump, the six following…

Fluid Dynamics · Physics 2014-11-11 Edouard Boujo , François Gallaire

A numerical investigation of two locally applied drag reducing control schemes is carried out in the configuration of a spatially developing turbulent boundary layer (TBL). One control is designed to damp near-wall turbulence and the other…

Fluid Dynamics · Physics 2016-11-03 A. Stroh , Y. Hasegawa , P. Schlatter , B. Frohnapfel

The goal of the present paper is the investigation of the evolution of anisotropic regular structures and turbulence at large Reynolds number in the multi-dimensional Burgers equation. We show that we have local isotropization of the…

Chaotic Dynamics · Physics 2008-08-21 S. N. Gurbatov , A. Yu. Moshkov , A. Noullez

Turbulent boundary layers under adverse pressure gradients are studied using well-resolved large-eddy simulations (LES) with the goal of assessing the influence of the streamwise pressure development. Near-equilibrium boundary layers were…

Fluid Dynamics · Physics 2018-12-11 P. Schlatter , R. Vinuesa , A. Bobke , R. Örlü

Coherent structures are solutions to reaction-diffusion systems that are time-periodic in an appropriate moving frame and spatially asymptotic at $x=\pm\infty$ to spatially periodic travelling waves. This paper is concerned with sources…

Analysis of PDEs · Mathematics 2015-05-27 Margaret Beck , Toan Nguyen , Bjorn Sandstede , Kevin Zumbrun