Summary
Using the framework introduced by Rawley and Colonius [2] we construct a nonreflecting boundary condition for the one-way wave equation spatially discretized with a fourth order centered difference scheme. The boundary condition, which can be extended to arbitrary order accuracy, is shown to be well posed. Numerical simulations have been performed showing promising results.
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References
T. Colonius, Numerically nonreflecting boundary and interface conditions for compressible flow and aeroacoustic computations, AIAA Journal, pp. 1126 35 (1997).
C. W. Rowley and T. Colonius, Discretely Nonreflectiing Boundary Conditions for Linear Hyperbolic Systems, J. Comput. Phys., pp. 500–538, 157 (2000).
B. Gustafsson, H.-O. Kreiss and J. Oliger, Time Dependent Problems and Difference Methods, Pure and Applied Mathematics. (Wiely, New York 1995)
B. Engquist and A. Majda, Absorbing boundary conditions for the numerical simulation of waves, Math. Comp., pp. 629, 31, (1977).
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© 2003 Springer-Verlag Berlin Heidelberg
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Appelö, D., Kreiss, G. (2003). Discretely Nonreflecting Boundary Conditions for Higher Order Centered Schemes for Wave Equations. In: Cohen, G.C., Joly, P., Heikkola, E., Neittaanmäki, P. (eds) Mathematical and Numerical Aspects of Wave Propagation WAVES 2003. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55856-6_21
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DOI: https://doi.org/10.1007/978-3-642-55856-6_21
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-62480-3
Online ISBN: 978-3-642-55856-6
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