Analytical study of the effect of wave number on the performance of local absorbing boundary conditions for acoustic scattering

Authors:
Isaac Harari;Rabia Djellouli
Affiliations:
Department of Solid Mechanics, Materials, and Systems, Tel Aviv University, 69978 Ramat Aviv, Israel;Department of Mathematics, California State University Northridge, Northridge, CA
Venue:
Applied Numerical Mathematics
Year:
2004

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Abstract

The computation of exterior wave problems at low wave numbers can become prohibitively expensive when higher circumferential modes are significant. An analysis of the effect of wave number on scattering problems, with local absorbing boundary conditions specified on simple shapes as on-surface radiation conditions, provides guidelines for satisfactory performance. Excessive computational cost may be avoided for most practical applications.