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Published June 1998 | Published
Conference Paper Open

Numerically nonreflecting boundary conditions for multidimensional aeroacoustic computations


Many compressible flow and aeroacoustic computations rely on accurate nonreflecting or radiation boundary conditions. When the equations and boundary conditions are discretized using a finite- difference scheme, the dispersive nature of the discretized equations can lead to spurious numerical reflections not seen in the continuous boundary value problem. These reflections can lead to poor convergence to a stationary state, and can lead to self-forcing of flows. We have constructed numerically nonreflecting boundary conditions which account for the particular finite-difference scheme used, and are designed to minimize these spurious numerical reflections. These extend our earlier work on one- dimensional boundary conditions to the multidimensional case. Stable boundary conditions which are nonreflecting to arbitrarily high-order-of-accuracy are obtained. Various test cases are presented which show excellent results.

Additional Information

© 1998 by Clarence W. Rowley and Tim Colonius. Published by the Confederation of European Aerospace Societies, with permission. Published Online: 22 Aug 2012. This research was supported in part by the National Science Foundation under grant CTS-9501349 with technical monitor Dr. Roger Arndt, and we also acknowledge the recent support of AFOSR under grant F49620-98-1-0095 with technical monitor Dr. Mark Glauser.

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