The pressure based algorithm for incompressible flow has been extended to the flows at all speeds in arbitrary configuration. In order to obtain a more acurate pressure correction equation the mixed tensor is used in the momentum equations in a nonorthogonal curvilinear coordinates. In discretizing the convection terms of the momentum equations and the density terms of the continuity equation the upwind scheme is used and the problem on reflection of the exit pressure in a shocked flow is studied. The numerical examples show that this method can calculate the flow field in a nozzle with or without a shock, and the location of the shock computed is quite exact.

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