PRESSURE-BASED COMPUTATIONAL METHOD FOR COMPRESSIBLE AND INCOMPRESSIBLE FLOWS

A control-volume-based finite element method with a new formulation fo r the convecting integration-point velocity for the implicit solution of unsteady compressible and incompressible flows is presented in this article. The method creates a strong coupling between pressure and ve locity in incompressible flow on a colocated grid. A pressure-based ap proach is used to generalize the method for both compressible and inco mpressible flows. Several quasi-one-dimensional test problems provide validation of the method for Mach numbers ranging from very incompress ible flow to supersonic flow with no penalty in accuracy or rate of co nvergence. Strong shock waves are captured without introducing artific ial viscosity.