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  1. Theoretical and Computational Fluid Dynamics
  2. Theoretical and Computational Fluid Dynamics : Volume 26
  3. Theoretical and Computational Fluid Dynamics : Volume 26, Issue 1-4, January 2012
  4. DNS of flows with helical symmetry
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Theoretical and Computational Fluid Dynamics : Volume 31
Theoretical and Computational Fluid Dynamics : Volume 30
Theoretical and Computational Fluid Dynamics : Volume 29
Theoretical and Computational Fluid Dynamics : Volume 28
Theoretical and Computational Fluid Dynamics : Volume 27
Theoretical and Computational Fluid Dynamics : Volume 26
Theoretical and Computational Fluid Dynamics : Volume 26, Issue 6, December 2012
Theoretical and Computational Fluid Dynamics : Volume 26, Issue 5, October 2012
Theoretical and Computational Fluid Dynamics : Volume 26, Issue 1-4, January 2012
Flow of an electrorheological fluid between eccentric rotating cylinders
Electro-magnetic-field-induced flow and interfacial instabilities in confined stratified liquid layers
The structure of parallel layers in steady two-dimensional magnetohydrodynamic flows in sudden duct expansions and contractions
High-order resolution Eulerian–Lagrangian simulations of particle dispersion in the accelerated flow behind a moving shock
A spectral approach for the stability analysis of turbulent open-channel flows over granular beds
Self-similarity in fully developed homogeneous isotropic turbulence using the lyapunov analysis
Free-surface deformation due to spiral flow owing to a source/sink and a vortex in Stokes flow
On the role of the Chezy frictional term near the shoreline
A resolution of Stewartson’s quarter-infinite plate problem
DNS of flows with helical symmetry
Motion of a vortex filament in the local induction approximation: a perturbative approach
Creeping-flow rotation of a slip spheroid about its axis of revolution
Mean and fluctuating components of drag and lift forces on an isolated finite-sized particle in turbulence
On the generation and evolution of numerically simulated large-amplitude internal gravity wave packets
The effect of numerical methods on the simulation of mid-ocean ridge hydrothermal models
The influence of viscoelasticity on the collapse of cavitation bubbles near a rigid boundary
Hydrodynamic lubrication in fully plastic asperity contacts
Nanofluid bioconvection: interaction of microorganisms oxytactic upswimming, nanoparticle distribution, and heating/cooling from below
Instabilities in free-surface electroosmotic flows
A compressed-sensing approach for closed-loop optimal control of nonlinear systems
Wall shape effects on multiphase flow in channels
Low-Reynolds-number droplet motion in a square microfluidic channel
On the stability of shear flows in nematics
Three-dimensional instability on the interaction between a vortex and a stationary sphere
Theoretical and Computational Fluid Dynamics : Volume 25
Theoretical and Computational Fluid Dynamics : Volume 24
Theoretical and Computational Fluid Dynamics : Volume 23
Theoretical and Computational Fluid Dynamics : Volume 22
Theoretical and Computational Fluid Dynamics : Volume 21
Theoretical and Computational Fluid Dynamics : Volume 20
Theoretical and Computational Fluid Dynamics : Volume 19
Theoretical and Computational Fluid Dynamics : Volume 18
Theoretical and Computational Fluid Dynamics : Volume 17
Theoretical and Computational Fluid Dynamics : Volume 16
Theoretical and Computational Fluid Dynamics : Volume 15
Theoretical and Computational Fluid Dynamics : Volume 14
Theoretical and Computational Fluid Dynamics : Volume 13
Theoretical and Computational Fluid Dynamics : Volume 12
Theoretical and Computational Fluid Dynamics : Volume 11
Theoretical and Computational Fluid Dynamics : Volume 10
Theoretical and Computational Fluid Dynamics : Volume 9

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DNS of flows with helical symmetry

Content Provider SpringerLink
Author Delbende, Ivan Rossi, Maurice Daube, Olivier
Copyright Year 2011
Abstract Some flows such as the wakes of rotating devices often display helical symmetry. We present an original DNS code for the dynamics of such helically symmetric systems. We show that, by enforcing helical symmetry, the three-dimensional Navier–Stokes equations can be reduced to a two-dimensional unsteady problem. The numerical method is a generalisation of the vorticity/streamfunction formulation in a circular domain, with finite differences in the radial direction and spectral decomposition along the azimuth. When compared to a standard three-dimensional code, this allows us to reach larger Reynolds numbers and to compute quasi-steady patterns. We illustrate the importance of helical pitch by some physical cases: the dynamics of several helical vortices and a quasi-steady vortex flow. We also study the linear dynamics and nonlinear saturation in the Batchelor vortex basic flow, a paradigmatic example of trailing vortex instability. We retrieve the behaviour of inviscid modes and present new results concerning the saturation of viscous centre modes.
Starting Page 141
Ending Page 160
Page Count 20
File Format PDF
ISSN 09354964
Journal Theoretical and Computational Fluid Dynamics
Volume Number 26
Issue Number 1-4
e-ISSN 14322250
Language English
Publisher Springer-Verlag
Publisher Date 2011-11-04
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Helical vortex Navier–Stokes equations Vortex dynamics Swirling jet Viscous instability mode Computational Science and Engineering Classical Continuum Physics Engineering Fluid Dynamics
Content Type Text
Resource Type Article
Subject Fluid Flow and Transfer Processes Condensed Matter Physics Computational Mechanics
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