Drag Optimization For A Circular Cylinder At High Reynolds Number By Rotary Oscillation Using Genetic Algorithms
Abstract
We propose here a new approach to optimally control incompressible viscous flow past a circular cylinder for drag minimization by rotary oscillation. The flow at is simulated by solving 2D Navier-Stokes equations in stream function-vorticity formulation. High accuracy compact scheme for space discretization and four stage Runge-Kutta scheme for time integration makes such simulation possible. While numerical solution for this flow field has been reported using a fast viscous-vortex method, to our knowledge, this has not been done at such a high Reynolds number by computing the Navier-Stokes equation before. The importance of scale resolution, aliasing problem and preservation of physical dispersion relation for such vortical flows of the used high accuracy schemes [1] is highlighted. For the dynamic problem, a novel genetic algorithm based optimization technique has been adopted, where solutions of Navier-Stokes equations are obtained using small timehorizons at every step of the optimization process, called a GA generation. Then the objective functions is evaluated that is followed by GA determined improvement of the decision
Authors: Tapan K. Sengupta, Kalyanmoy Deb, Srikanth B. Talla