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Boundary-layer approach to the linear karren instability

Related publications (32)

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On the stability of travelling waves with vorticity obtained by minimization

Boris Buffoni

We modify the approach of Burton and Toland Comm. Pure Appl. Math. LXIV. 975-1007 (2011) to show the existence of periodic surface water waves with vorticity in order that it becomes suited to a stability analysis. This is achieved by enlarging the functio ...

Springer Basel2013

Turbulent regimes in the tokamak scrape-off layer

Paolo Ricci, Joaquim Loizu Cisquella, Sébastien Jolliet, Federico David Halpern, Annamaria Mosetto

The non-linear turbulent regimes in the tokamak scrape-off layer (SOL) are identified according to the linear instability responsible for the perpendicular transport. Four regions of the SOL operational parameters are determined where turbulence is driven ...

American Institute of Physics2013

Studying Droplet dynamics by depth-averaged simulation

François Gallaire, Mathias Nagel

Droplets in flat micro channels are deformable, avoid obstacles, interact with one another and undergo separation and coealescence. For the simulation of these micro fluidic two-phase flows we propose a depth-averaged model derived from the Stokes equation ...

2012

The influence of shear layer thickness on the stability of confined two-dimensional wakes

François Gallaire, Luca Biancofiore

The influence of confinement onto the inviscid and incompressible linear stability of the family of wakes introduced by Monkewitz [Phys. Fluids 31, 999 (1988)] is examined. The nondimensional parameters of the model, the velocity ratio Λ, defined as ratio ...

2011

Wave induced velocities inside a model seagrass bed

Laboratory measurements reveal the flow structure within and above a model seagrass meadow (dynamically similar to Zostera marina) forced by progressive waves. Despite being driven by purely oscillatory flow, a mean current in the direction of wave propaga ...

American Geophysical Union2010

Study and Numerical Simulation of Sediment Transport in Free-Surface Flow

The flow after the rupture of a dam on an inclined plane of arbitrary slope, and the induced transport of non-cohesive sediment, is analysed using the shallow-water approximation. An asymptotic (analytical) solution is presented for the flow hydrodynamics, ...

University of Malaga, Spain2008

Optimal flow control for Navier-Stokes equations: drag minimization

Luca Dede'

Optimal control and shape optimization techniques have an increasing role in Fluid Dynamics problems governed by partial differential equations (PDEs). In this paper, we consider the problem of drag minimization for a body in relative motion in a fluid by ...

Wiley-Blackwell2007

Simulation of shear-driven flows

Roland Bouffanais

The research work reported in the present dissertation is aimed at the analysis of complex physical phenomena involving instabilities and nonlinearities occurring in fluids through state-of-the-art numerical modeling. Solutions of intricate fluid physics p ...

EPFL2007

Existence and features of similarity solutions for non-Boussinesq gravity currents

Christophe Ancey, Steve Cochard, Martin Rentschler, Sébastien Wiederseiner

In this paper, the flow dynamics of gravity currents on a horizontal plane is investigated from a theoretical point of view by seeking similarity solutions. The current is generated by unleashing a varying volume of heavy fluid within an ambient fluid of m ...

2007

Reduced Navier-Stokes equations near a flow boundary

Jan Sickmann Hesthaven

We derive a hierarchy of PDEs for the leading-order evolution of wall-based quantities, such as the-skin-friction and the wall-pressure gradient, in two-dimensional fluid flows. The resulting Reduced Navier-Stokes (RNS) equations are defined on the boundar ...

Elsevier2006