Computation of the Diffracted Field by an Elliptic Rigid or Elastic Scatterer: An Overview of the Numerical Limitations

In this paper, we are interested in the 2D computation of the pressure scattered by an elliptic scatterer using a semi-analytical method based on a decomposition of the solutions on a basis of cylindrical waves. This approach is perfectly adapted to circular scatterers, and has been extended to scat...

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Bibliographic Details
Published in:Physics procedia 2015, Vol.70, p.208-212
Main Authors: Cassereau, Didier, Mézière, Fabien, Muller, Marie, Bossy, Emmanuel, Derode, Arnaud
Format: Article
Language:English
Subjects:
Arbitrary precision computation
Elliptic scatterer
GMP
MPFR
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Summary:In this paper, we are interested in the 2D computation of the pressure scattered by an elliptic scatterer using a semi-analytical method based on a decomposition of the solutions on a basis of cylindrical waves. This approach is perfectly adapted to circular scatterers, and has been extended to scatterers of arbitrary shape [F. Chati et al. (2004)]. We will see that this extended formulation yields some very difficult numerical issues, particularly in our context of a flat and small elliptic scatterer. The use of arbitrary precision mathematics appears as a possible workaround, even if the cost in terms of the computation time may be prohibitive.
ISSN:1875-3892
1875-3892
DOI:10.1016/j.phpro.2015.08.133