An Explicit Marching-on-in-time Scheme for Solving the Kirchhoff Integral Equation

Rui Chen, Sadeed B Sayed, Hakan Bagci

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

Abstract

An explicit marching-on-in-time scheme for solving the Kirchhoff integral equation enforced on an acoustically rigid scatterer is proposed. The unknown velocity potential introduced on the surface of scatterer is expanded using unit pulse functions in space and Lagrange polynomial interpolation functions in time. The resulting system is cast in the form of an ordinary differential equation and then integrated numerically in time using a predictor-corrector scheme to obtain the unknown expansion coefficients. Numerical results demonstrate that the time step size required by the proposed explicit scheme to ensure an accurate and stable solution is as large as that used by its implicit counterpart.
Original languageEnglish (US)
Title of host publication2018 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages2409-2410
Number of pages2
ISBN (Print)9781538671023
DOIs
StatePublished - Jan 24 2019

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