Streamwise oscillations of a cylinder beneath a free surface: Free surface effects on vortex formation modes

Date

2011-06-15

Author

Bozkaya, Canan
Mironova, L. A.
Gubanov, O. I.

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A computational study of a viscous incompressible two-fluid model with an oscillating cylinder is investigated at a Reynolds number of 200 and at a dimensionless displacement amplitude of A = 0.13 and for the dimensionless forcing cylinder oscillation frequency-to-natural vortex shedding frequency ratios, f/f(0) = 1.5, 2.5, 3.5. Specifically, two-dimensional flow past a circular cylinder subject to forced in-line oscillations beneath a free surface is considered. The method is based on a finite volume discretization of the two-dimensional continuity and unsteady Navier-Stokes equations (when a solid body is present) on a fixed Cartesian grid. Two-fluid model based on improved volume-of-fluid method is used to discretize the free surface interface. The study focuses on the laminar asymmetric flow structure in the near wake region and lock-on phenomena at a Froude number of 0.2 and for the dimensionless cylinder submergence depths, h = 0.25, 0.5 and 0.75. The equivorticity patterns and pressure distribution contours are used for the numerical flow visualization. The code validations in special cases show good comparisons with previous numerical results.

Subject Keywords

Applied Mathematics, Computational Mathematics

URI

https://hdl.handle.net/11511/40627

Journal

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

DOI

https://doi.org/10.1016/j.cam.2010.09.018

Collections

Department of Mathematics, Article

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Citation Formats

C. Bozkaya, L. A. Mironova, and O. I. Gubanov, “Streamwise oscillations of a cylinder beneath a free surface: Free surface effects on vortex formation modes,” JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, pp. 4780–4795, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40627.