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Impulsive Motion of a Moving Circular Cylinder in a Viscous Flow by the Numerical Simulation

Published online by Cambridge University Press:  05 May 2011

D. L. Young*
Affiliation:
Department of Civil Engineering, and Hydrotech Research Institute, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
J. T. Chang*
Affiliation:
Department of Civil Engineering, and Hydrotech Research Institute, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
*Professor
**Ph.D. Graduate Student
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Abstract

An innovative computation procedure is developed to solve the external flow problems for viscous fluids. The method is able to handle the infinite domain so that it is convenient for the external flows. The code is based on the projection method of the Navier-Stokes equations. We use the three-step explicit finite element method to solve the momentum equation by extracting the boundary effects from the finite computation domain. The pressure Poisson equation for the external field is treated by the boundary element method. The arbitrary Lagrangian-Eulerian (ALE) scheme is employed to incorporate the present algorithm to deal with the moving boundary, such as the motion of an impulsively moving circular cylinder in a viscous fluid. The model demonstrates that drag force is well predicted for a circular cylinder moving in a still viscous fluid starting from rest, to a constant acceleration, and then maintaining at a uniform velocity. In the constant acceleration phase, the drag force is closed to the added mass effect from the ideal flow theory. On the other hand, the drag force is equal to viscous flow theory in the constant velocity phase.

Type
Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 1998

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References

REFERENCES

1.Milne-Thomson, L. M.Theoretical Hydrodynamics, 5th ed., Macmillan, pp. 240273 (1967).Google Scholar
2.Anagnostopoulos, P.“Numerical Solution for Laminar Two-Demensional Flow about a Fixed and Transversely Oscillating Cylinder in a Uniform Stream.” J. Comp. Phys., 85, pp. 434456 (1989).CrossRefGoogle Scholar
3.Nomura, T.“Finite Element Analysis of Vortex-Induced Vibrations of Bluff Cylinders.” J. Wind Eng. and Indus. Aerody., 46/47, pp. 587594 (1993).CrossRefGoogle Scholar
4.Young, D. L., and Chang, J. D.,. “Wind-Structure Interaction by the Numerical Simulation,” Proc. 2nd European and African Conf. on Wind Eng.,Gevova, Italy, pp. 1143–1150(1997).Google Scholar
5.Young, D. L., and Chang, J. D., “Numerical Simulation for Two-Dimensional Laminar Flow about the Fixed and Moving Circular Cylinder in the External Flow Field,” Proc. of High-Performance Computing (HPC) ASIA 1995, FH046, pp. 1–14 (1995).Google Scholar
6.Hughes, T. J. R., Liu, W. K., and Zimmermann, T. K.“Lagrangian–Eulerian Finite Element Formulation for Incompressible Viscous Flows,” Comp. Meth. in Appl Mech. and Eng., 29, pp. 329349 (1981).CrossRefGoogle Scholar
7.Schlichting, H., Boundary-Layer Theory, 6th ed. McGraw-Hill, pp. 1519 (1968).Google Scholar