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A New Principle of Non-Non-Reecting and its Application to Hyperbolic Conservation Laws

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Computational Fluid Dynamics 2006

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Abstract

Non-reflecting boundary conditions (NRBCs) play a key role in fluid dynamics computations and still remain a challenging topic in the current research areas. The characteristics-based NRBC is one of the most important non-reflecting treatments [2], [3]. In the present paper, however, instead of following the classical wisdom of signal propagation along characteristics, the non-reflecting concept is revisited from a different perspective and a new but simple principle of non-reflecting is proposed, followed by a generic NRBC.

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References

  1. R. Courant, and D. Hilbert “ Methods of Mathematical Physics”, Vol.II, John Wiley & Sons, London, 1962.

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  2. B. Engquist and A. Majda “Absorbing boundary conditions for the numerical simulation of waves”, Math. Comp., Vol. 31, pp. 629-651 (1977).

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  3. C. Hirsch “Numerical Computation of Internal and External Flows” Vol. I and II, John Wiley & Sons (1993).

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  4. F.Q. Hu “On Absorbing Boundary Conditions for Linearized Euler Equations by a Perfectly Matched Layer”, J. Comput. Phys., Vol.129, 201-219 (1996).

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  5. C.Y. Loh and P.C.E. Jorgenson, AIAA paper 2005-4716, 2005.

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Author information

Authors and Affiliations

  1. NASA Glenn Research Center, Cleveland, Ohio 44135, USA

    Ching Y. Loh

  2. Taitech Inc, Oak CT Ste 301 0, Dayton, OH 45430

    Philip C.E. Jorgenson

Authors
  1. Ching Y. Loh
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  2. Philip C.E. Jorgenson
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Corresponding author

Correspondence to Ching Y. Loh .

Editor information

Editors and Affiliations

  1. Dynamique des Fluides, Institut von Karman de, Chaussee de Waterloo 72, Rhode-St.-Genese, 1640, Belgium

    Herman Deconinck

  2. Fac. Engineering, University of Ghent, Sint-Pietersnieuwstraat 41, Gent, 9000, Belgium

    E. Dick

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© 2009 Springer-Verlag Berlin Heidelberg

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Loh, C.Y., Jorgenson, P.C. (2009). A New Principle of Non-Non-Reecting and its Application to Hyperbolic Conservation Laws. In: Deconinck, H., Dick, E. (eds) Computational Fluid Dynamics 2006. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92779-2_131

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  • DOI: https://doi.org/10.1007/978-3-540-92779-2_131

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-92778-5

  • Online ISBN: 978-3-540-92779-2

  • eBook Packages: EngineeringEngineering (R0)

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