Implicit application of non‐reflective boundary conditions for Navier–Stokes equations in generalized coordinates

The non-re∞ective boundary conditions for Navier-Stokes equations originally suggested by Poinsot and Lele[1] in Cartesian coordinates are extended to generalized coordinates. The boundary conditions are implicitly coupled with the Navier-Stokes ∞ow solver in the inner domain. The calculations are conducted for a subsonic vortex propagating ∞ow and the steady and unsteady transonic inlet-difiuser ∞ows. The results indicate that the present method is accurate and robust, and the non-re∞ective boundary conditions are essential for unsteady ∞ow calculations.

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