A stochastic pseudospectral and T-matrix algorithm for acoustic scattering by a class of multiple particle configurations

M. Ganesh*, S. C. Hawkins

*Corresponding author for this work

    Research output: Contribution to journalArticle

    10 Citations (Scopus)

    Abstract

    We consider absorption and scattering of acoustic waves from uncertain configurations comprising multiple two dimensional bodies with various material properties (sound-soft, sound-hard, absorbing and penetrable) and develop tools to address the problem of quantifying uncertainties in the acoustic cross sections of the configurations. The uncertainty arises because the locations and orientations of the particles in the configurations are described through random variables, and statistical moments of the far-fields induced by the stochastic configurations facilitate quantification of the uncertainty. We develop an efficient algorithm, based on a hybrid of the stochastic pseudospectral discretization (to truncate the infinite dimensional stochastic process) and an efficient stable truncated version of Waterman's T-matrix approach (for cost effective realization at each multiple particle configuration corresponding to the pseudospectral quadrature points) to simulate the statistical properties of the stochastic model. We demonstrate the efficiency of the algorithm for configurations with non-smooth and non-convex bodies with distinct material properties, and random locations and orientations with normal and log-normal distributions.

    Original languageEnglish
    Pages (from-to)41-52
    Number of pages12
    JournalJournal of Quantitative Spectroscopy and Radiative Transfer
    Volume123
    DOIs
    Publication statusPublished - Jul 2013

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