NUMERICAL-SIMULATION OF HIGH REYNOLDS-NUMBER FLOWS BY PETROV-GALERKIN FINITE-ELEMENT METHOD

In this paper, the Petrov-Galerkin FEM using exponential functions is presented for solving the incompressible viscous flow problems. The unsteady incompressible Navier-Stokes equations are discretized by the semi-explicit scheme with respect to a time variable. The fractional step method is also used effectively in this work. The validity of the method proposed in this study is shown by numerical solutions of two typical flow problems at higher Reynolds number, namely, flow in a driven cavity and flow past a circular cylinder.