A pressure-based unstructured grid method for all-speed flows

An all-speed algorithm based on the SIMPLE pressure-correction scheme and the ‘retarded-density’ approach has been formulated and implemented within an unstructured grid, finite volume (FV) scheme for both incompressible and compressible flows, the latter involving interaction of shock waves. The collocated storage arrangement for all variables is adopted, and the checkerboard oscillations are eliminated by using a pressure-weighted interpolation method, similar to that of Rhie and Chow [Numerical study of the turbulent flow past an airfoil with trailing edge separation. AIAA Journal 1983; 21: 1525]. The solution accuracy is greatly enhanced when a higher-order convection scheme combined with adaptive mesh refinement (AMR) are used.