A Unified Method for Computing Incompressible and Compressible Flows in Boundary-Fitted Coordinates

A unified method for computing incompressible and compressible flows with Mach-uniform accuracy and efficiency is described. The method is equally applicable to stationary and nonstationary flows. A pressure-based discretisation on a staggered grid in general boundary-fitted coordinates is used for the Euler equations. Extension to Navier--Stokes is straightforward. Dimensionless variables that remain finite for all Mach numbers are used. Mach number independent accuracy and efficiency is shown by numerical experiments.

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