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Discretely Nonreflecting Boundary Conditions for Higher Order Centered Schemes for Wave Equations

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Mathematical and Numerical Aspects of Wave Propagation WAVES 2003
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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

  1. T. Colonius, Numerically nonreflecting boundary and interface conditions for compressible flow and aeroacoustic computations, AIAA Journal, pp. 1126 35 (1997).

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  2. C. W. Rowley and T. Colonius, Discretely Nonreflectiing Boundary Conditions for Linear Hyperbolic Systems, J. Comput. Phys., pp. 500–538, 157 (2000).

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  3. B. Gustafsson, H.-O. Kreiss and J. Oliger, Time Dependent Problems and Difference Methods, Pure and Applied Mathematics. (Wiely, New York 1995)

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  4. 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

  • eBook Packages: Springer Book Archive

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