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Low-Reynolds-number flow around an oscillating circular cylinder using a cell viscousboundary element method

Low-Reynolds-number flow around an oscillating circular cylinder using a cell viscousboundary element method
Low-Reynolds-number flow around an oscillating circular cylinder using a cell viscousboundary element method
Flow fields from transversely oscillating circular cylinders in water at rest are studied by numerical solutions of the two-dimensional unsteady incompressible Navier-Stokes equations adopting a primitive-variable formulation. These findings are successfully compared with experimental observations. The cell viscous boundary element scheme developed is first validated to examine convergence of solution and the influence of discretization within the numerical scheme of study before the comparisons are undertaken. A hybrid approach utilising boundary element and finite element methods is adopted in the cell viscous boundary element method. That is, cell equations are generated using the principles of a boundary element method with global equations derived following the procedures of finite element methods. The influence of key parameters, i.e. Reynolds number Re, Keulegan-Carpenter number KC and Stokes' number beta, on overall flow characteristics and vortex shedding mechanisms are investigated through comparisons with experimental findings and theoretical predictions. The latter extends the study into assessment of the values of the drag coefficient, added mass or inertia coefficient with key parameters and the variation of lift and in-line force results with time derived from the Morison's equation. The cell viscous boundary element method as described herein is shown to produce solutions which agree very favourably with experimental observations, measurements and other theoretical findings.
hybrid scheme, boundary element method, finite element method, oscillating cylinder, vortex shedding, Navier-Stokes equation
0029-5981
2317-2338
Uzunoglu, B.
09f4e8e9-bd13-4411-8da2-e302ee058a09
Tan, M.
4d02e6ad-7915-491c-99cc-a1c85348267c
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c
Uzunoglu, B.
09f4e8e9-bd13-4411-8da2-e302ee058a09
Tan, M.
4d02e6ad-7915-491c-99cc-a1c85348267c
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c

Uzunoglu, B., Tan, M. and Price, W.G. (2001) Low-Reynolds-number flow around an oscillating circular cylinder using a cell viscousboundary element method. International Journal for Numerical Methods in Engineering, 50 (10), 2317-2338. (doi:10.1002/nme.122).

Record type: Article

Abstract

Flow fields from transversely oscillating circular cylinders in water at rest are studied by numerical solutions of the two-dimensional unsteady incompressible Navier-Stokes equations adopting a primitive-variable formulation. These findings are successfully compared with experimental observations. The cell viscous boundary element scheme developed is first validated to examine convergence of solution and the influence of discretization within the numerical scheme of study before the comparisons are undertaken. A hybrid approach utilising boundary element and finite element methods is adopted in the cell viscous boundary element method. That is, cell equations are generated using the principles of a boundary element method with global equations derived following the procedures of finite element methods. The influence of key parameters, i.e. Reynolds number Re, Keulegan-Carpenter number KC and Stokes' number beta, on overall flow characteristics and vortex shedding mechanisms are investigated through comparisons with experimental findings and theoretical predictions. The latter extends the study into assessment of the values of the drag coefficient, added mass or inertia coefficient with key parameters and the variation of lift and in-line force results with time derived from the Morison's equation. The cell viscous boundary element method as described herein is shown to produce solutions which agree very favourably with experimental observations, measurements and other theoretical findings.

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Published date: 2001
Keywords: hybrid scheme, boundary element method, finite element method, oscillating cylinder, vortex shedding, Navier-Stokes equation

Identifiers

Local EPrints ID: 21851
URI: http://eprints.soton.ac.uk/id/eprint/21851
ISSN: 0029-5981
PURE UUID: 0bffc636-4b5f-4109-9443-24b070220d35

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Date deposited: 16 Mar 2006
Last modified: 15 Mar 2024 06:33

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Contributors

Author: B. Uzunoglu
Author: M. Tan
Author: W.G. Price

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