Volume 15, Number 3, Fall 2007
NUMERICAL SIMULATIONS OF FLOW
PAST AN OBLIQUELY OSCILLATING
ELLIPTIC CYLINDER
S. J. D. D'ALESSIO AND SERPIL KOCABIYIK
Abstract. The present work deals with the numerical
investigation of the unsteady flow created by oblique translational
oscillations of an inclined elliptic cylinder placed in a
steady uniform flow of a viscous incompressible fluid. The motion
is assumed to start impulsively from rest at t = 0. The flow
is twodimensional and the harmonic oscillations act in a direction
45° to the uniform oncoming flow. The unsteady Navier
Stokes equations, expressed in terms of stream function and
vorticity, are solved using an implicit spectral finitedifference
procedure. Examined in this study is the wake evolution for
inclinations η = 0, π/4 and times 0 < t ≤ 12 for a Reynolds
number of 10^{3} and a fixed minormajor axis ratio of 0.5. The
effect of the oblique translational oscillations of the cylinder on
the hydrodynamic forces has been determined and contrasted
with the corresponding transverse and inline oscillation cases.
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