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Numerical solution of wave scattering problems in the parabolic approximation

Published online by Cambridge University Press:  19 April 2006

Sébastien M. Candel
Sébastien M. Candel
Affiliation:
Office National d'Etudes et de Recherches Aérospatiales (ONERA) and Université de Technologie de Compiègne, 92320 Châtillon, France
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Abstract

A numerical analysis of two-dimensional wave scattering problems is performed. The treatment relies on the parabolic approximation and provides the forward scattered wave field. Two problems are considered in particular: (i) the scattering of plane waves by a cylindrical inhomogeneity of uniform refraction index, (ii) the scattering of plane waves by a viscous core vortex. The structure of the scattered field is examined in detail and the numerical solutions of the two problems are compared to analytical results obtained in the Born approximation and interpreted according to the method of smooth perturbation.

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Type
Research Article
Information
Journal of Fluid Mechanics , Volume 90 , Issue 3 , 13 February 1979 , pp. 465 - 507
Copyright
© 1979 Cambridge University Press

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