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Radiation boundary conditions for the numerical simulation of waves

Published online by Cambridge University Press:  07 November 2008

Thomas Hagstrom
Thomas Hagstrom
Affiliation:
Department of Mathematics and Statistics, The University of New Mexico, Albuquerque, NM 87131, USA E-mail: hagstrom@math.unm.edu
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Abstract

We consider the efficient evaluation of accurate radiation boundary conditions for time domain simulations of wave propagation on unbounded spatial domains. This issue has long been a primary stumbling block for the reliable solution of this important class of problems. In recent years, a number of new approaches have been introduced which have radically changed the situation. These include methods for the fast evaluation of the exact nonlocal operators in special geometries, novel sponge layers with reflectionless interfaces, and improved techniques for applying sequences of approximate conditions to higher order. For the primary isotropic, constant coefficient equations of wave theory, these new developments provide an essentially complete solution of the numerical radiation condition problem.

Type
Research Article
Information
Acta Numerica , Volume 8 , January 1999 , pp. 47 - 106
Copyright
Copyright © Cambridge University Press 1999

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