Computational & Technology Resources
an online resource for computational,
engineering & technology publications 

Computational Science, Engineering & Technology Series
ISSN 17593158 CSETS: 18
COMPUTATIONAL METHODS FOR ACOUSTICS PROBLEMS Edited by: F. Magoulès
Chapter 8
Advances in the OnSurface Radiation Condition Method: Theory, Numerics and Applications X. Antoine
Institut Elie Cartan Nancy, University Henri Poincaré Nancy I, France X. Antoine, "Advances in the OnSurface Radiation Condition Method: Theory, Numerics and Applications", in F. Magoulès, (Editor), "Computational Methods for Acoustics Problems", SaxeCoburg Publications, Stirlingshire, UK, Chapter 8, pp 207232, 2008. doi:10.4203/csets.18.8
Keywords: onsurface radiation condition, computational acoustics, high frequency,
fast algorithms, surface scattering, nonreflecting boundary condition, generalised
impedance boundary condition, integral equations, preconditioner.
Abstract
The aim of this chapter is to give a comprehensive introduction to the recent advances
in the onsurface radiation condition (OSRC) method for the numerical representation
of acoustic scattering problems in the frequency domain. After a presentation of the
main theoretical developments in this area, the finite element formulation of the resulting
problem is introduced. A few numerical tests show the efficiency and accuracy
of the OSRC formulations for various model problems but also point out some remaining
difficulties. Next, the discussion is directed towards some applications of the
OSRC method to various current problems in computational acoustic scattering: modelling
of exterior domains and penetrable scatterers, improvement of existing integral
equation formulations in view of a fast iterative Krylov subspace solution and other
potentially interesting applications for prospecting large scale scattering problems at
high frequency.
purchase the fulltext of this chapter (price £25)
go to the previous chapter 
