A Two-Dimensional Numerical Simulation of Oscillating Flow Using a Pseudo Spectral Method


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Abstract


In this paper, results obtained from a two-dimensional numerical investigation of oscillating flow around a circular cylinder immersed in a fluid at rest are presented. The Navier-Stokes equations governing the related flow are formulated in terms of stream function and vorticity in polar coordinates and are solved by a pseudo-spectral method of high precision. By using this approach, the velocity components, the vorticity fields and force coefficients are computed for different flow regimes according to Tatsuno & Bearman map. Good agreement is found with previously obtained experimental and numerical observations
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Keywords


Navier-Stokes Equations; Circular Cylinder; Oscillating Flow; Keulegan-Carpenter Number; Stokes Number; Fourier Spectral Method

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References


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