An Efficient Spectral Method for Acoustic Scattering from Rough Surfaces
D. Xiu and
J. Shen
Commun. Comput. Phys., 2 (2007), pp. 54-72.
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.
Published online:
2007-02