Finite element computations of flow around a wall-mounted cube

In this paper, we present the application of a finite element scheme to full three-dimensional incompressible flow around a cube mounted on the wall in a channel. This scheme is based on the Petrov-Galerkin weak formulation using exponential weighting functions. The incompressible Navier-Stokes equations are numerically integrated in time by using a fractional step strategy with a second-order accurate Adams-Bashforth scheme. The workability and validity of the present approach are demonstrated through the results of streamlines and pressure coefficients in the flow field up to high Reynolds number regimes.