A Higher-order Explicit Marching-on-in-time for Analysis of Transient Acoustic Scattering from Rigid Objects

Rui Chen, Hakan Bagci

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

An explicit marching-on-in-time (MOT) scheme for solving the time domain Kirchhoff (surface) integral equation (TDKIE) to analyze acoustic scattering from a rigid scatterer is presented. The unknown velocity potential induced on the scatterer surface is approximated using nodal interpolation functions in space and shifted Lagrange polynomials in time. Inserting this expansion into the TDKIE and testing the resulting equation at the interpolation points (i.e., Nyström method in space) yield a system of ordinary differential equations (ODEs). This ODE system is integrated in time using a PE(CE)m-type linear multistep scheme to yield unknown expansion coefficients. Numerical results demonstrate that the explicit MOT scheme uses the same time step as its implicit counterpart without sacrificing from accuracy or stability and is faster under low frequency excitation (i.e., for large time step).
Original languageEnglish (US)
Title of host publication2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting
PublisherIEEE
Pages179-180
Number of pages2
ISBN (Print)9781728106922
DOIs
StatePublished - Oct 31 2019

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