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Numerical Simulation of Vortex Breakdown by the Vortex-filament Method

Numerical Simulation of Vortex Breakdown by the Vortex-filament Method
Author: Y. Nakamura
Publisher:
Total Pages: 20
Release: 1983
Genre: Numerical analysis
ISBN:

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The vortex-filament method was applied to the simulation of vortex breakdown. The principal vortex region was represented by multiple filaments, and an axial velocity component was induced by a spiral winding of the filaments. First, an accuracy check was performed for a cylindrical swirling flow field that can be simulated to any accuracy by increasing the number of filaments. Second, an axisymmetric-type vortex breakdown was simulated, with experimental data serving asupstream conditions. The calculated axial- and theta-velocity contours show the breakdown of the vortex, including a rapid change in the vortex core, followed axially by a recovery zone and then a second breakdown. When three-dimensional initial data are used the second breakdown appears to be out of the spiral type in correspondence with experimental observations. The present method can easily be used to simulate other types of vortex breakdown or other vortex flows with axial velocity.


Numerical Simulation of Vortex Breakdown

Numerical Simulation of Vortex Breakdown
Author:
Publisher:
Total Pages: 19
Release: 1978
Genre:
ISBN:

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Vortex breakdown is simulated by a three dimensional Lagrangian method using vortex filaments. The filaments are approximated by vortex elements and their velocity is computed by a Biot-Savart type law of interaction. The numerical calculations show the development of an axisymmetric bubble with a recirculation zone and resemble in many respects the results obtained in the physical experiments on vortex breakdown.


A Digital Particle Image Velocimetry Investigation of Delta Wing Vortex Flow and Vortex Breakdown

A Digital Particle Image Velocimetry Investigation of Delta Wing Vortex Flow and Vortex Breakdown
Author: Jeremy David Wimer
Publisher:
Total Pages: 128
Release: 2003-01-01
Genre: Airplanes
ISBN: 9781423504016

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The vortical flow over the suction side of a 650 sweep delta wing at high angles of attack is investigated in the University of Washington water tunnel using digital particle image velocimetry (DPIV). The method is first validated and then used to qualitatively and quantitatively describe the development of the leading edge vortex (LEV) both upstream and downstream of vortex breakdown. The circulation and azimuthal velocity profile in the vortex are measured and reveal that the maximum circulation of the LEV increases nearly linearly in the downstream direction up to the point of vortex breakdown. Circulation and velocity measurements in the solid-body rotational part of the LEV core, however, reveal that once the core is formed near the apex of the wing, the circulation there remains constant until just prior to breakdown, and no further vorticity is added to the core from the shear layer. The secondary vortex is found to be the key player in separating the primary vortex core from the shear layer. This model of the flow field contradicts the generally accepted conical nature of delta wing flow. Current vortex breakdown suppression methods are analyzed in light of this new model. A numerical simulation based on the vortex filament method is also used to further the self-induction theory of vortex breakdown.


Vortex Methods

Vortex Methods
Author: Georges-Henri Cottet
Publisher: Cambridge University Press
Total Pages: 0
Release: 2008-04-24
Genre: Science
ISBN: 9780521061704

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Vortex methods have matured in recent years, offering an interesting alternative to finite difference and spectral methods for high resolution numerical solutions of the Navier Stokes equations. In the past three decades, research into the numerical analysis aspects of vortex methods has provided a solid mathematical background for understanding the accuracy and stability of the method. At the same time vortex methods retain their appealing physical character, which was the motivation for their introduction. This book presents and analyzes vortex methods as a tool for the direct numerical simulation of impressible viscous flows. It will interest graduate students and researchers in numerical analysis and fluid mechanics and also serve as an ideal textbook for courses in fluid dynamics.


Vortex Methods: Selected Papers Of The First International Conference On Vortex Methods

Vortex Methods: Selected Papers Of The First International Conference On Vortex Methods
Author: Kyoji Kamemoto
Publisher: World Scientific
Total Pages: 228
Release: 2000-05-11
Genre: Technology & Engineering
ISBN: 9814493287

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Vortex methods have been developed and applied to many kinds of flows related to various problems in wide engineering and scientific fields. The purpose of the First International conference on Vortex methods was to provide an opportunity for engineers and scientists to present their achievements, exchange ideas and discuss new developments in mathematical and physical modeling techniques and engineering applications of vortex methods.