Numerical dispersion and absorbing boundary conditions

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


Predictions of performance of exact and approximate absorbing boundary conditions (ABCs) do not take into account the fact that in an actual simulation it is numerical waves that are incident on the computational domain boundary where they are imposed. Via a model problem in rectangular co-ordinates we identify and examine this issue. Then, we study the reflection produced by discrete local ABCs in cylindrical co-ordinates using the first-order Bayliss-Turkel operator as a model. We find the analytical reflection coefficient of this ABC significantly underestimates the actual reflection on the grid. Also, we identify the source of the additional error and show it decays slowly with increasing resolution. Implications for other ABCs are discussed.

Original languageEnglish (US)
Pages (from-to)483-498
Number of pages16
JournalInternational Journal of Numerical Modelling: Electronic Networks, Devices and Fields
Issue number5
StatePublished - Sep 2000

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Computer Science Applications
  • Electrical and Electronic Engineering


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