The boundary element method applied to viscous and vortex shedding flows around cylinders
The boundary element method applied to viscous and vortex shedding flows around cylinders
Studies are presented to further extend the use of the boundary element method (BEM) for the solution of viscous flows around bluff bodies, governed by the incompressible Navier-Stokes equations. Two distinct formulations are applied to various flows around cylindrical geometries for Reynolds numbers ≤ 200.
The first approach, developed by Tan (1994) and known herein as the global BEM, was coded to execute in parallel on multi-processor computers. Reductions in execution time were achieved and the method was employed to solve an oscillating cylinder problem. In this study, the displacement undergone by the body was very large but the Reynolds number was always ≤ 1.
To solve vortex shedding problems a second approach, known herein as the cell BEM, was formulated by Tan et al (1998). A validation for isolated and double circular cylinders in a uniform stream was performed against experimental evidence to demonstrate the method's stability and accuracy for laminar vortex shedding with geometries involving multiply connected domains.
Finally, computational results for flows around four equispaced circular cylinders of equal diameter and two cylinders, one circular and the other elliptical, are reported. Many of the concepts established for the flow around two cylinders of equal diameter were found to be useful in interpretation of these more complicated arrangements.
University of Southampton
1998
Farrant, Tim James
(1998)
The boundary element method applied to viscous and vortex shedding flows around cylinders.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
Studies are presented to further extend the use of the boundary element method (BEM) for the solution of viscous flows around bluff bodies, governed by the incompressible Navier-Stokes equations. Two distinct formulations are applied to various flows around cylindrical geometries for Reynolds numbers ≤ 200.
The first approach, developed by Tan (1994) and known herein as the global BEM, was coded to execute in parallel on multi-processor computers. Reductions in execution time were achieved and the method was employed to solve an oscillating cylinder problem. In this study, the displacement undergone by the body was very large but the Reynolds number was always ≤ 1.
To solve vortex shedding problems a second approach, known herein as the cell BEM, was formulated by Tan et al (1998). A validation for isolated and double circular cylinders in a uniform stream was performed against experimental evidence to demonstrate the method's stability and accuracy for laminar vortex shedding with geometries involving multiply connected domains.
Finally, computational results for flows around four equispaced circular cylinders of equal diameter and two cylinders, one circular and the other elliptical, are reported. Many of the concepts established for the flow around two cylinders of equal diameter were found to be useful in interpretation of these more complicated arrangements.
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Published date: 1998
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Local EPrints ID: 463676
URI: http://eprints.soton.ac.uk/id/eprint/463676
PURE UUID: df4c0d40-2ca9-46d6-b164-4425188c758f
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Date deposited: 04 Jul 2022 20:55
Last modified: 04 Jul 2022 20:55
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Author:
Tim James Farrant
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