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

D. Xiu & J. Shen

DOI:

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

Published online: 2007-02

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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.

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@Article{CiCP-2-54, author = {D. Xiu and J. Shen}, title = {An Efficient Spectral Method for Acoustic Scattering from Rough Surfaces}, journal = {Communications in Computational Physics}, year = {2007}, volume = {2}, number = {1}, pages = {54--72}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7895.html} }
TY - JOUR T1 - An Efficient Spectral Method for Acoustic Scattering from Rough Surfaces AU - D. Xiu & J. Shen JO - Communications in Computational Physics VL - 1 SP - 54 EP - 72 PY - 2007 DA - 2007/02 SN - 2 DO - http://dor.org/ UR - https://global-sci.org/intro/cicp/7895.html KW - AB -

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.

D. Xiu & J. Shen. (1970). An Efficient Spectral Method for Acoustic Scattering from Rough Surfaces. Communications in Computational Physics. 2 (1). 54-72. doi:
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