A fast high order algorithm for multiple scattering from large configurations of scatterers

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• Stuart Hawkins (Macquarie University)
• Monday 17 April 2023, 16:15-17:00
• Seminar Room 1, Newton Institute.

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MWSW03 - Computational methods for multiple scattering

Simulation of wave interactions with configurations containing large numbers of individual particles are important in diverse applications including oceanography and atmospheric science applications. Simulations need to account for reflections between all particles, the number of which grows with the square of the number of particles. Consequently, such simulations have been mostly limited to relatively small numbers of particles. We present an efficient solver based on a Krylov subspace method combined with a fast algorithm for computing matrix vector products whose complexity (memory and CPU time) grows only linearly with the number of particles.Our matrix vector product scheme is based on a novel numerically stable expansion of the field radiated by each particle in cylindrical or spherical wavefunctions. We demonstrate our algorithm by simulating multiple scattering for large configurations with tens or hundreds of thousands of individual particles. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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