Incompressible flow solution on unstructured triangular meshes

An incompressible Navier-Stokes solver on unstructured triangular mesh is developed and tested. The artificial compressibility method is employed to render the system hyperbolic. The temperature equation and the source terms representing thermal buoyancy forces art included in the system via Boussinesq approximation. A Godunov-type second-order upwind finite-volume method is used to obtain inviscid fluxes. The viscous terms art computed by a finite-volume formulation which can be second-order accurate for a large class of triangular cells. To maintain numerical stability and efficiency, an implicit approximate LU factorization (ALU) scheme is used for time integration. Time accuracy is assured by subilerations at each time step. Various forced-convection and natural-convection problems art computed to validate the proposed scheme.