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Optimal control of lift/drag ratios on a rotating cylinder. (English) Zbl 0760.76073

Summary: We present the numerical solution of a problem of maximizing the lift to drag ratio by rotating a circular cylinder in a two-dimensional viscous incompressible flow. This problem is viewed as a test case for the newly developing theoretical and computational methods for control of fluid dynamic systems. We show that the time averaged lift to drag ratio for a fixed finite-time interval achieves its maximum value at an optimal rotation rate that depends on the time interval.

MSC:

76M30 Variational methods applied to problems in fluid mechanics
76U05 General theory of rotating fluids
76D99 Incompressible viscous fluids

Software:

ILUBCG2
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Full Text: DOI

References:

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