THREE-DIMENSIONAL FINITE ELEMENT COMPUTATIONS OF INCOMPRESSIBLE VISCOUS FLUID FLOWS AT HIGH REYNOLDS NUMBERS

摘要

In this paper, we present a finite element scheme based on the Petrov-Galerkin method using exponential weighting functions for computing three-dimensional incompressible viscous fluid flows at high Reynolds numbers. As the time-marching scheme, we adopt effectively the second-order accurate Adams-Bashforth explicit differencing for both convection and diffusion terms. Numerical solutions for flow over a wall-mounted cube and flow around a circular cylinder are presented, and compared with experimental data and other existing numerical data.