Application of the goore scheme to turbulence control for drag reduction (I) - Improvement of the goore scheme -

We investigate the possibility of application of the Goore Scheme to turbulence control for drag reduction. In Part I , we examine the performance of the original Goore Scheme by applying it to a simple one-dimensional problem. For the application of the scheme to turbulence control, we extend the scheme's capability so that it can treat multi-dimensional problems and examine its validity theoretically. The convergence of the extended scheme with a dynamic memory is faster by an order of magnitude than the original scheme. In Part II, we apply the proposed scheme to reduce drag for turbulent channel flows through direct numerical simulation.