A recent finite element algorithm named velocity correction method for incompressible viscous flow has been reformulated in this paper to investigate its scheme properties on unstructured grid system. Although the scheme described herein uses equal order for velocity and pressure based on the Standard Galerkin Method but pressure results from the solution of Poisson equation has shown no wiggle. This algorithm uses explicit Euler scheme with lumping method for calculation on unstructured grids. To improve the disadvantage of explicit scheme, Gresho's BTD (balancing tensor diffusivity) is included by which the time integral is improved to the second order.
The present algorithm has been applied to three basic incompressible viscous flow problems formulated using unstructured mesh. The lid-driven cavity problem for Reynolds number 400, 1000, 3200 and 5000, the external flow over circular cylinder at Reynolds number 100, and finally the internal flow at sudden expansion pipe at Reynolds number 60 are solved.
