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 emp loyed to render the system hyperbolic. The temperature equation and th e source terms representing thermal buoyancy forces are included in th e system via Boussinesq approximation. A Godunov-type second-order upw ind finite-volume method is used to obtain inviscid fluxes. The viscou s terms are computed by a finite-volume formulation which can be secon d-order accurate for a large class of triangular cells. To maintain nu merical stability and efficiency, an implicit approximate LU factoriza tion (ALU) scheme is used for time integration, Time accuracy is assur ed by subiterations at each time step. Various forced-convection and n atural-convection problems ore completed to validate the proposed sche me.