Analytical and numerical investigation of the performance of the BGT2 condition for low-frequency acoustic scattering problems

Robert C. Reiner, Rabia Djellouli, Isaac Harari

Research output: Contribution to journalArticlepeer-review

Abstract

A mathematical and numerical analysis is performed to assess the performance of the second order Bayliss-Gunzburger-Turkel (BGT2) condition when applied to solving low-frequency acoustic scattering problems in the case of elongated scatterers. This investigation suggests that BGT2 retains an acceptable level of accuracy for relatively low wavenumber. A damping effect is incorporated to the BGT2 condition in order to extend the range of satisfactory performance. This damping procedure consists in adding only a constant imaginary part to the wavenumber. The numerical results indicate that the modified version of BGT2 extends the range of satisfactory performance by improving the level of accuracy by up to two orders of magnitude. Guidelines on the appropriate choice of the damping coefficient are provided.

Original languageEnglish
Pages (from-to)526-536
Number of pages11
JournalJournal of Computational and Applied Mathematics
Volume204
Issue number2 SPEC. ISS.
DOIs
StatePublished - 15 Jul 2007

Keywords

  • Acoustic scattering
  • Damping effect
  • Eccentricity
  • Local absorbing boundary conditions
  • Low-frequency regime
  • Mathieu functions
  • On-surface radiating condition (OSRC)
  • Specific impedance

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