Numerical simulations and control of the flow past a circular cylinder /

A numerical method for a finite difference approach has been established for the analysis and control of the fluid behavior of flow past a cylinder. The discretization of the 2D Navier-Stokes equations is done over a staggered grid, convective terms in the momentum equations are handled using a mixture of central differences and donor-cell discretization, and the Poisson equations for the pressure is solved through the successive overrelaxation (SOR) method. We also study some open-loop and closed-loop control of the flow field by rotating the cylinder. For the open-loop design, we mainly make use of the energy method, and for the feedback design both the energy method and the phase method are applied.Report prepared in part by Department of Mathematics, Southern Illinois University, Carbondale, Illinois.Photocopy."Conference Paper Preprint.""December 2002."Includes bibliographic refereces (pages 11-12).A numerical method for a finite difference approach has been established for the analysis and control of the fluid behavior of flow past a cylinder. The discretization of the 2D Navier-Stokes equations is done over a staggered grid, convective terms in the momentum equations are handled using a mixture of central differences and donor-cell discretization, and the Poisson equations for the pressure is solved through the successive overrelaxation (SOR) method. We also study some open-loop and closed-loop control of the flow field by rotating the cylinder. For the open-loop design, we mainly make use of the energy method, and for the feedback design both the energy method and the phase method are applied.Mode of access: Internet