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Bifurcation for flow past a cylinder between parallel planes. (English) Zbl 0842.76015
Numerical experiments are described to ascertain how the steady flow past a circular cylinder loses stability as the Reynolds number is increased. Problems concerning the structure of the bifurcation are discussed. It has been determined that the first appearance of the vortices is probably associated with a bifurcation of a restricted kinematical problem. Detailed numerical experiments show that only after a critical Reynolds number the perturbation would be amplified and that the flow would eventually settle down to a new time-periodic motion. Calculations are also carried out to determine the bifurcation point by considering an eigenvalue problem based on a linearization about the computed steady flow past a cylinder.

MSC:
76D05 Navier-Stokes equations for incompressible viscous fluids
76M10 Finite element methods applied to problems in fluid mechanics
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