Numerical analysis of oscillating flow about a circular cylinder
Lotshaw, John E.
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The numerical experiments, carried out through the use of the vorticity stream function equations and their finite difference form, on sinusoidally oscillating as well as co-existing flows (sinusoidal oscillation plus steady mean flow) at low and intermediate Keulegan-Carpenter numbers are described. A third-order in time, second-order in space, three-level predictor-corrector finite difference scheme has been used. The Poisson equation for the stream function was solved by a Fast Poisson Solver based on the High Order Difference Approximation with Identity Expansion (HODIE) and the Fast Fourier Transform (FFT) methods provided by the National Center for Atmospheric Research for the solution of separable elliptic partial differential equations with a non-square grid. The analysis has produced force-transfer and fluid-damping coefficients comparable to those obtained experimentally for both types of flows (i.e., with and without current) and to those obtained with a square grid through the use of the IMSL library.
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