Journal article

Space-time domain solutions of the wave equation by a non-singular boundary integral method and Fourier transform

Evert Klaseboer, Shahrokh Sepehrirahnama, Derek YC Chan

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA | ACOUSTICAL SOC AMER AMER INST PHYSICS | Published : 2017

Abstract

The general space-time evolution of the scattering of an incident acoustic plane wave pulse by an arbitrary configuration of targets is treated by employing a recently developed non-singular boundary integral method to solve the Helmholtz equation in the frequency domain from which the space-time solution of the wave equation is obtained using the fast Fourier transform. The non-singular boundary integral solution can enforce the radiation boundary condition at infinity exactly and can account for multiple scattering effects at all spacings between scatterers without adverse effects on the numerical precision. More generally, the absence of singular kernels in the non-singular integral equat..

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Funding Acknowledgements

This research was supported in part by an Australian Research Council Discovery Project Grant to D.Y.C.C.