Volume 2, Issue 1
An Efficient Spectral Method for Acoustic Scattering from Rough Surfaces

D. Xiu and J. Shen

Commun. Comput. Phys., 2 (2007), pp. 54-72.

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  • Abstract

An efficient and accurate spectral method is presented for scattering problems with rough surfaces. A probabilistic framework is adopted by modeling the surface roughness as random process. An improved boundary perturbation technique is employed to transform the original Helmholtz equation in a random domain into a stochastic Helmholtz equation in a fixed domain. The generalized polynomial chaos (gPC) is then used to discretize the random space; and a Fourier-Legendre method to discretize the physical space. These result in a highly efficient and accurate spectral algorithm for acoustic scattering from rough surfaces. Numerical examples are presented to illustrate the accuracy and efficiency of the present algorithm.

  • History

Published online: 2007-02

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