A unified framework for incompressible and compressible fluid flows

A unified algorithmic framework to predict numerical solutions for flows that range from incompressible, weakly compressible to highly compressible is outlined along with a parallel multi-physics zone method. This computational method is designed for the simulation of general fluids with arbitrary equations of state and multiple component and multiple phases. The capabilities of the approach are demonstrated by a cavitating hydrofoil solution, the flow through converging-diverging nozzle with a back-step in the throat and a free-surface problem. The results show a variety of interesting physical phenomena that are introduced by the unique fluid physics. Due to the page limit, only the first case is briefed here.