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Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014 pp 465–473Cite as

Transparent Boundary Conditions for the Wave Equation: High-Order Approximation and Coupling with Characteristic NRBCs

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 106))

Abstract

We propose and numerically investigate two approaches for extending the application area of transparent boundary conditions (TBCs) for the wave equation: a method for generating finite-difference approximations of TBCs with the fourth and sixth order in space, and a coupling procedure of TBCs on the top boundary of a cubical computational domain with characteristic BCs at the neighbor side boundaries.

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References

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Acknowledgements

The authors are grateful to Schlumberger and MIPT for permission to publish the work, and RFBR project 13-01-00338

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Authors and Affiliations

  1. Schlumberger, Pudovkina 13, Moscow, Russia

    I. Sofronov & L. Dovgilovich

  2. MIPT, 9 Institutskiy per., Dolgoprudny, Russia

    I. Sofronov

Authors
  1. I. Sofronov
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  2. L. Dovgilovich
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Corresponding author

Correspondence to I. Sofronov .

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Editors and Affiliations

  1. School of Computing , University of Utah, Salt Lake City, Utah, USA

    Robert M. Kirby

  2. School of Computing, University of Utah, Salt Lake City, Utah, USA

    Martin Berzins

  3. EPFL-SB-MATHICSE-MCSS, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Jan S. Hesthaven

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Sofronov, I., Dovgilovich, L. (2015). Transparent Boundary Conditions for the Wave Equation: High-Order Approximation and Coupling with Characteristic NRBCs. In: Kirby, R., Berzins, M., Hesthaven, J. (eds) Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014. Lecture Notes in Computational Science and Engineering, vol 106. Springer, Cham. https://doi.org/10.1007/978-3-319-19800-2_43

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