Method on unstructured grid for incompressible flows

A method for solving steady incompressible Navier-Stokes equations on hybrid unstructured grids was presented. The pressure correction method, originally developed by Date for flow on structured grids, was employed to enforce mass conservation on hybrid unstructured grids. All the variables were defined at the center of each cell while the face velocities were calculated by interpolation at the mid-points of the corresponding cell faces. The convection flux was calculated with upwind least-square method and the diffusion flux was calculated with the gradient projection method. Both the momentum and Poisson equations were integrated with the finite volume method which is independent of cell shapes. The algebraic equations were solved with Gauss-Seidel method. The present numerical method was applied to two different benchmark problems and is confirmed to be accurate and efficient.