Numerical dispersion and absorbing boundary conditions

Document Type

Article

Publication Date

9-1-2000

Abstract

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.

Identifier

0034273505 (Scopus)

Publication Title

International Journal of Numerical Modelling Electronic Networks Devices and Fields

External Full Text Location

https://doi.org/10.1002/1099-1204(200009/10)13:5<483::AID-JNM379>3.0.CO;2-0

ISSN

08943370

First Page

483

Last Page

498

Issue

5

Volume

13

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