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In this work, nonreflecting boundary conditions in generalizedthree-dimensional curvilinear coordinates are derived, relying on the originalanalysis that was done in Cartesian two-dimensional coordinates by Giles (AIAAJournal, 28.12, 2050-2058, 1990). A thorough Fourier analysis of the linearizedEuler equation is performed to determine the eigenvalues and the eigenvectorsthat are then used to derive the appropriate inflow and outflow boundaryconditions. The analysis lacks rigorous proof of the well-posedness in thegeneral case, which is open to investigation (a weak assumption is introducedhere to complete the boundary conditions). The boundary conditions derived hereare not tested on specific applications.

On deriving nonreflecting boundary conditions in generalized curvilinear coordinates