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

doi:10.1121/1.5125259

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 journal › Article › peer-review

9 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 language	English (US)
Pages (from-to)	2068-2079
Number of pages	12
Journal	The Journal of the Acoustical Society of America
Volume	146
Issue number	3
DOIs	https://doi.org/10.1121/1.5125259
State	Published - Sep 30 2019

Access to Document

10.1121/1.5125259

https://repository.kaust.edu.sa/bitstream/10754/658637/1/1.5125259.pdf

Cite this

@article{d4f7c35c51814267906e05298680639e,

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

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 Nystr{\"o}m 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 Nystr{\"o}m 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.",

author = "Rui Chen and Sayed, {Sadeed B} and Al-Harthi, {Noha A.} and Keyes, {David E.} and Hakan Bagci",

note = "KAUST Repository Item: Exported on 2020-04-23 Acknowledged KAUST grant number(s): 2016-CRG5-2953 Acknowledgements: This publication is based upon work supported by the King Abdullah University of Science and Technology (KAUST) Office of Sponsored Research (OSR) under Award No 2016-CRG5-2953. The authors would like to thank the King Abdullah University of Science and Technology Supercomputing Laboratory (KSL) for providing the required computational resources.",

year = "2019",

month = sep,

day = "30",

doi = "10.1121/1.5125259",

language = "English (US)",

volume = "146",

pages = "2068--2079",

journal = "The Journal of the Acoustical Society of America",

issn = "0001-4966",

publisher = "Acoustical Society of America",

number = "3",

}

TY - JOUR

T1 - An explicit marching-on-in-time scheme for solving the time domain Kirchhoff integral equation.

AU - Chen, Rui

AU - Sayed, Sadeed B

AU - Al-Harthi, Noha A.

AU - Keyes, David E.

AU - Bagci, Hakan

N1 - KAUST Repository Item: Exported on 2020-04-23 Acknowledged KAUST grant number(s): 2016-CRG5-2953 Acknowledgements: This publication is based upon work supported by the King Abdullah University of Science and Technology (KAUST) Office of Sponsored Research (OSR) under Award No 2016-CRG5-2953. The authors would like to thank the King Abdullah University of Science and Technology Supercomputing Laboratory (KSL) for providing the required computational resources.

PY - 2019/9/30

Y1 - 2019/9/30

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/658637

UR - http://asa.scitation.org/doi/10.1121/1.5125259

UR - http://www.scopus.com/inward/record.url?scp=85072982439&partnerID=8YFLogxK

U2 - 10.1121/1.5125259

DO - 10.1121/1.5125259

M3 - Article

C2 - 31590563

SN - 0001-4966

VL - 146

SP - 2068

EP - 2079

JO - The Journal of the Acoustical Society of America

JF - The Journal of the Acoustical Society of America

IS - 3

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this