An explicit marching-on-in-time scheme for solving the time domain Kirchhoff integral equation.

Rui Chen, Sadeed B Sayed, Noha A. Al-Harthi, David E. Keyes, Hakan Bagci

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

A fully explicit marching-on-in-time (MOT) scheme for solving the time domain Kirchhoff (surface) integral equation to analyze transient acoustic scattering from rigid objects is presented. A higher-order Nyström method and a PE(CE)m-type ordinary differential equation integrator are used for spatial discretization and time marching, respectively. The resulting MOT scheme uses the same time step size as its implicit counterpart (which also uses Nyström method in space) without sacrificing from the accuracy and stability of the solution. Numerical results demonstrate the accuracy, efficiency, and applicability of the proposed explicit MOT solver.
Original languageEnglish (US)
Pages (from-to)2068-2079
Number of pages12
JournalThe Journal of the Acoustical Society of America
Volume146
Issue number3
DOIs
StatePublished - Sep 30 2019

Fingerprint Dive into the research topics of 'An explicit marching-on-in-time scheme for solving the time domain Kirchhoff integral equation.'. Together they form a unique fingerprint.

Cite this