A numerical investigation of the effects of the spanwise length on the three-dimensional wake of a circular cylinder
A numerical investigation of the effects of the spanwise length on the three-dimensional wake of a circular cylinder
The effect of the spanwise extension of the solution domain on the three-dimensional wake of a circular cylinder is investigated for various Reynolds numbers between 40 and 1000. By assessing the minimum spanwise extension required to predict accurately the flow around a circular cylinder, the infinitely long cylinder is reduced to a finite length cylinder, thus making numerical solution an effective way of investigating flows around circular cylinders.
Based on the projection method, and using the finite volume discretisation, a method is presented to solve the incompressible form of the Navier-Stokes equations. A parallel algorithm is used to distribute the computations onto several cluster nodes, thus enabling large domain to be solved.
Results are presented for three different spanwise extensions, namely π/2D πD and 2πD. The analysis of the force coefficients obtained for the various Reynolds numbers together with a visualisation of the three-dimensionalities in the wake of the cylinder allowed for a comparison between the effects of the three spanwise extensions. Furthermore, by showing the different modes of vortex shedding present in the wake and by analysing the streamwise components of the vorticity, it was possible to estimate the spanwise wavelengths at the various Reynolds and to demonstrate that a finite spanwise extension is sufficient to accurately predict the flow past an infinitely long circular cylinder.
University of Southampton
Labbé, David François Lionel
51532e62-0b2f-4ec5-9510-565ee77f8796
2004
Labbé, David François Lionel
51532e62-0b2f-4ec5-9510-565ee77f8796
Labbé, David François Lionel
(2004)
A numerical investigation of the effects of the spanwise length on the three-dimensional wake of a circular cylinder.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
The effect of the spanwise extension of the solution domain on the three-dimensional wake of a circular cylinder is investigated for various Reynolds numbers between 40 and 1000. By assessing the minimum spanwise extension required to predict accurately the flow around a circular cylinder, the infinitely long cylinder is reduced to a finite length cylinder, thus making numerical solution an effective way of investigating flows around circular cylinders.
Based on the projection method, and using the finite volume discretisation, a method is presented to solve the incompressible form of the Navier-Stokes equations. A parallel algorithm is used to distribute the computations onto several cluster nodes, thus enabling large domain to be solved.
Results are presented for three different spanwise extensions, namely π/2D πD and 2πD. The analysis of the force coefficients obtained for the various Reynolds numbers together with a visualisation of the three-dimensionalities in the wake of the cylinder allowed for a comparison between the effects of the three spanwise extensions. Furthermore, by showing the different modes of vortex shedding present in the wake and by analysing the streamwise components of the vorticity, it was possible to estimate the spanwise wavelengths at the various Reynolds and to demonstrate that a finite spanwise extension is sufficient to accurately predict the flow past an infinitely long circular cylinder.
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Published date: 2004
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Local EPrints ID: 465429
URI: http://eprints.soton.ac.uk/id/eprint/465429
PURE UUID: 06187eb5-594d-45b9-a8d1-ce2141185da2
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Date deposited: 05 Jul 2022 00:55
Last modified: 16 Mar 2024 20:10
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Author:
David François Lionel Labbé
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