An all-speed algorithm based on the SIMPLE pressure-correction scheme and t
he 'retarded-density' approach has been formulated and implemented within a
n unstructured grid, finite volume (FV) scheme for both incompressible and
compressible flows, the latter involving interaction of shock waves. The co
llocated storage arrangement for all variables is adopted, and the checkerb
oard 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 conve
ction scheme combined with adaptive mesh refinement (AMR) are used. Copyrig
ht (C) 2000 John Wiley & Sons, Ltd.