Validation of Unstructured Grid Method for Incompressible Flows using Artificial Compressibility Method

The artificial compressibility algorithm for incompressible flows is applied to an unstructed grid method. It is based on a finite volume cell-vertex upwind technique and uses a time-marching procedure to efficiently solve the continuity equation as well as the momentum equations. The Lower-Upper Symmetric Gauss-Seidel (LU-SGS) approximate factorization scheme is implemented with the Navier-Stokes solver on arbitrary three-dimensional unstructured grid. The LU-SGS algorithm provides a significant enhancement of the convergence rate. The accuracy of the method is validated by applying the method to incompressible flow problems of a 2-D cavity and 3-D duct.