Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Active control and drag optimization for flow past a cylinder at high Reynolds number using genetic algorithms

S.B. Tallaa, K. Debb, T.K. Senguptaa,*
aDepartment of Aerospace Engineering, bDepartment of Mechanical Engineering, Indian Institute of Technology Kanpur, UP 208016, India

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We propose here a new approach to the optimal active control of incompressible viscous flow past a circular cylinder for drag minimization by rotary oscillation. The flow at Re = 15000 is simulated by solving 2D Navier-Stokes equations in stream function–vorticity formulation, using high-accuracy compact schemes for space discretization and a fourth-order Runge-Kutta scheme for time integration. The objective function – time-averaged drag – is optimized using a real coded genetic algorithm with respect to the decision variables, the maximum rotation rate and the forcing frequency. The optimal design variables obtained match very well with experimentally obtained values.

Keywords:  Flow control; Drag optimization; Genetic algorithms; DNS

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