Transparent boundary conditions for wave propagation on unbounded domains

Ionescu, D. C. and Igel, H. (2003) Transparent boundary conditions for wave propagation on unbounded domains. Lecture notes in computer science, 2659 807-816.


Author Ionescu, D. C.
Igel, H.
Title Transparent boundary conditions for wave propagation on unbounded domains
Journal name Lecture notes in computer science   Check publisher's open access policy
ISSN 0302-9743
1611-3349
ISBN 0302-9743/3-540-40196-2
Publication date 2003
Sub-type Article (original research)
Volume 2659
Start page 807
End page 816
Total pages 10
Editor G. Goos
J. Hartmanis
J. van Leeuwen
Place of publication Berlin, Heidleberg
Publisher Springer Verlag
Collection year 2003
Language eng
Subject C1
260206 Earthquake Seismology
780104 Earth sciences
Abstract The numerical solution of the time dependent wave equation in an unbounded domain generally leads to a truncation of this domain, which requires the introduction of an artificial boundary with associated boundary conditions. Such nonreflecting conditions ensure the equivalence between the solution of the original problem in the unbounded region and the solution inside the artificial boundary. We consider the acoustic wave equation and derive exact transparent boundary conditions that are local in time and can be directly used in explicit methods. These conditions annihilate wave harmonics up to a given order on a spherical artificial boundary, and we show how to combine the derived boundary condition with a finite difference method. The analysis is complemented by a numerical example in two spatial dimensions that illustrates the usefulness and accuracy of transparent boundary conditions.
Keyword Computer Science, Theory & Methods
Highly-charged Ions
Relativistic Collisions
Equations
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Earth Sciences Publications
2004 Higher Education Research Data Collection
 
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Created: Wed, 15 Aug 2007, 02:56:16 EST