Stream-function based multiple Bluff Bodies 2D flow analysis

Abstract The structure of 2D solenoidal or non solenoidal incompressible viscous channel flows in presence of obstacles was numerically investigated with special reference to laminar and transition conditions. The results obtained with a ψ,γ model and a Control Volume approach depend upon the supposed inflow-outflow boundary conditions. The numerical solution of the flow around multiple Bluff Bodies require also the determination of the B.C.s for the Stream Function on the obstacles. Moreover, for models of incompressible flows, where also source like obstacles are considered, the flow may result to be non solenoidal; in these cases multivalued Stream Functions were successfully employed. A new, highly accurate, vector upwinded scheme, recently introduced by the authors, is used for the treatment of convective terms at high Cell Reynolds numbers. Meaningful results were obtained without the need of special grids, or of spectral methods.