DIRECT 3RD-ORDER UPWIND FINITE-ELEMENT SIMULATION OF HIGH REYNOLDS-NUMBER FLOWS AROUND A CIRCULAR-CYLINDER

Numerical results of high Reynolds number flows past a circular cylinder are presented by using the third-order upwind finite element scheme. The development of the third-order upwind scheme is based on the Petrov-Galerkin formulation. Because the perturbation function that is employed in the formulation is composed of the second- and third-derivatives of the standard weighting function, an idea of the mixed method is introduced into the formulation in order to implement a finite element approximation by the use of the bilinear interpolation functions. Numerical results obtained are compaired with other some results.