期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 163, 期 1, 页码 83-117出版社
ACADEMIC PRESS INC
DOI: 10.1006/jcph.2000.6556
关键词
active flow control; Navier-Stokes equations; optimal control; adjoint equations; BFGS algorithms; finite difference methods; finite element methods
The main objective of this article is to investigate computational methods fur the active control and drag optimization of incompressible viscous flow past cylinders, using the two-dimensional Navier-Stokes equations as the Row model. The computational methodology relies on the following ingredients: space discretization of the Navier-Stokes equations by finite element approximations, time discretization by a second-order-accurate two-step implicit/explicit finite difference scheme, calculation of the cost function gradient by the adjoint equation approach, and minimization of the cost function by a quasi-Newton method a la BFGS. The above methods have been applied to boundary control by rotation of the flow around a circular cylinder and show 30 to 60% drag reduction, compared to the fixed cylinder configuration, fur Reynolds numbers in the range from 200 to 1000. (C) 2000 Academic Press.
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