Numerical Simulation of Compressible Flows in Irregular Geometries

The SIMPLE algorithm for incompressible flows is extended to calculate compressible flows. The governing equations of compressible flows in both Cartesian and axisymmetric coordinates are arranged into an unified form. The governing equation in curvilinear coordinates is discretized using a finite volume method and is solved using a pressure correction procedure. The compressible flows in a channel with an arc bump and the flows in a nozzle with shock wave reflections are calculated, and are validated by bench mark numerical solutions.