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A full linear stability of a straight scroll wave in an excitable medium is presented. The five eigenmode branches which correspond to deformation in the third dimension of the five main modes of two-dimensional (2D) spiral dynamics are…

Pattern Formation and Solitons · Physics 2009-10-31 H. Henry , V. Hakim

Direct numerical simulations of a low-pressure turbine with roughness elements distributed over the blade surface have been performed. A series of fifteen cases with varying roughness heights and streamwise wavenumbers are introduced to…

Fluid Dynamics · Physics 2026-01-23 Xianwen Zhu , Yuchen Ge , Yaomin Zhao , Zuoli Xiao , Richard D. Sandberg

Large Eddy Simulations of a flow at a moderate Reynolds number over and around a three-dimensional hill have been performed. The main aim of the simulations was to study the effects of various inflow conditions (boundary layer thickness and…

Fluid Dynamics · Physics 2017-08-24 Manuel Garcia-Villalba , Jan G. Wissink , Wolfgang Rodi

We develop a new approach and employ it to establish the global existence and nonlinear structural stability of attached weak transonic shocks in steady potential flow past three-dimensional wedges; in particular, the restriction that the…

Analysis of PDEs · Mathematics 2021-08-10 Gui-Qiang G. Chen , Jun Chen , Wei Xiang

Transonic buffet is commonly associated with self-sustained flow unsteadiness involving shock-wave/boundary-layer interaction over aerofoils and wings. The phenomenon has been classified as either laminar or turbulent based on the state of…

Fluid Dynamics · Physics 2022-08-23 Pradeep Moise , Markus Zauner , Neil D. Sandham , Sebastian Timme , Wei He

Thermal instabilities can cause a radiative shock to oscillate, thereby modulating the emission from the post-shock region. The mode frequencies are approximately quantised in analogy to those of a vibrating pipe. The stability properties…

Astrophysics · Physics 2009-11-07 Curtis J. Saxton

We study physical mechanisms that trigger transient growth in a high-speed spatially-developing laminar boundary layer that interacts with an oblique shock wave. We utilize an approach based on power-iteration, with the global forward and…

The concept of edge state is investigated in the asymptotic suction boundary layer in relation with the receptivity process to noisy perturbations and the nucleation of turbulent spots. Edge tracking is first performed numerically, without…

We hypothesize that dynamical systems concepts used to study the transition to turbulence in shear flows are applicable to other transition phenomena in fluid mechanics. In this paper, we consider a finite air bubble that propagates within…

Fluid Dynamics · Physics 2020-07-01 J. S. Keeler , A. B. Thompson , G. Lemoult , A. Juel , A. L. Hazel

High-speed vehicles experience a highly challenging environment in which the free-stream Mach number and surface temperature greatly influence aerodynamic drag and heat transfer. The interplay of these two parameters strongly affects the…

Fluid Dynamics · Physics 2024-02-29 Michele Cogo , Umberto Baù , Mauro Chinappi , Matteo Bernardini , Francesco Picano

Early turbulence in periodic cylinder arrays is of particular interest in many practical applications to enhance mixing and material/heat exchange. In this study, we reveal a new early transition pathway to a chaotic wavy state and drag…

Fluid Dynamics · Physics 2024-10-17 Lu Zhu , Rich R. Kerswell

In this paper we are concerned with the steady Navier-Stokes and Stokes problems with mixed boundary conditions involving Tresca slip, leak condition, one-sided leak conditions, velocity, pressure, rotation, stress and normal derivative of…

Analysis of PDEs · Mathematics 2016-11-28 Tujin Kim , Daomin Cao

Turbulent boundary layers over flat walls in the presence of a hill are frequently found in nature and industry. Some examples are the air flows over hills and desert dunes, but also water flows over aquatic dunes inside closed conduits.…

Fluid Dynamics · Physics 2017-06-09 Erick de Moraes Franklin , Guilherme Augusto Ayek

The properties of the boundary plasma in a tokamak are now recognized to play a key role in determining the achievable fusion power and the lifetimes of plasma-facing components. Accurate quantitative modeling and improved qualitative…

Plasma Physics · Physics 2017-08-25 E. L. Shi

We investigate a turbulent boundary layer (TBL) with uniform pressure force variations, focusing on understanding its response to local pressure force, local pressure force variation (local disequilibrating effect), and upstream history.…

Fluid Dynamics · Physics 2024-11-20 Taygun R. Gungor , Ayse G. Gungor. Yvan Maciel

The complex interaction between turbulence and the free surface in boundary layer shear flow created by a vertical surface-piercing wall is considered. A laboratory-scale device was built that utilizes a surface-piercing stainless steel…

Fluid Dynamics · Physics 2017-03-29 Nathan Washuta , Naeem Masnadi , James H. Duncan

The impact of turbulent fluctuations on the forces exerted by a fluid on a towed spherical particle is investigated by means of high-resolution direct numerical simulations. The measurements are carried out using a novel scheme to integrate…

Fluid Dynamics · Physics 2016-11-21 Holger Homann , Jérémie Bec , Rainer Grauer

The phenomenon of bursting, in which streaks in turbulent boundary layers oscillate and then eject low speed fluid away from the wall, has been studied experimentally, theoretically, and computationally for more than 50 years because of its…

Fluid Dynamics · Physics 2014-08-28 D. Viswanath

A linearly unstable, sinusoidal $E \times B$ shear flow is examined in the gyrokinetic framework in both the linear and nonlinear regimes. In the linear regime, it is shown that the eigenmode spectrum is nearly identical to hydrodynamic…

Plasma Physics · Physics 2019-03-27 A. E. Fraser , M. J. Pueschel , P. W. Terry , E. G. Zweibel

High-speed boundary-layer transition is extremely sensitive to the free-stream disturbances which are often uncertain. This uncertainty compromises predictions of models and simulations. To enhance the fidelity of simulations, we directly…

Fluid Dynamics · Physics 2021-04-28 David A. Buchta , Tamer A. Zaki