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Published January 20, 2000 | public
Journal Article

Discretely Nonreflecting Boundary Conditions for Linear Hyperbolic Systems


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. Here we construct discretely nonreflecting boundary conditions, which account for the particular finite-difference scheme used, and are designed to minimize these spurious numerical reflections. Stable boundary conditions that are local and nonreflecting to arbitrarily high order of accuracy are obtained, and test cases are presented for the linearized Euler equations. For the cases presented. reflections for a pressure pulse leaving the boundary are reduced by up to two orders of magnitude over typical ad hoc closures, and for a vorticity pulse, reflections are reduced by up to four orders of magnitude.

Additional Information

© 2000 Academic Press. Received 15 April 1999, revised 23 September 1999, available online 25 May 2002. Supported in part by NSF Grant CTS-9501349. The first author gratefully acknowledges support under an NSF Graduate Fellowship. Part of this work was presented in preliminary form in AIAA Paper 98-2220.

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