Scattering by stochastic boundaries: hybrid low- and high-order quantification algorithms

Mahadevan Ganesh, Stuart Collin Hawkins

Abstract


We present an efficient framework for simulating the average wave scattering properties of two dimensional randomly shaped particles with statistical properties similar to model aerosols particles that are important in atmospheric science applications. Our framework is based on an efficient high order discretisation of the spatial dimensions and parallel implementations for the large number of stochastic dimensions. We demonstrate our framework by simulating the mean (and higher order moments) of the far field of the model particles. We use tens of thousands of Monte Carlo, quasi-Monte Carlo and sparse grid generalised polynomial chaos realisations of the random particle model.

References

Keywords


uncertainty quantification, acoustic scattering, Helmholtz equation, stochastic particle

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DOI: http://dx.doi.org/10.21914/anziamj.v56i0.9313



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.