Absorbing boundary conditions for a spherical monopole in a set of two-dimensional acoustics equations

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6 Citations (Scopus)

Abstract

The numerical solution of the two-dimensional (2-D) acoustic equations as a hyperbolic system by the use of the finite-difference method has been investigated. For efficient computation, the numerical domain must be truncated by an absorbing boundary condition. Deriving nearly reflectionless conditions that are both accurate and stable for spherical waves is nontrivial. In this paper, absorbing boundary conditions are developed for the case of an acoustic pulse radiated from a spherical monopole source. Numerical results are presented comparing conditions based on a characteristic variable formulation to conditions based on the Bayliss-Turkel B 1 condition. It was found that the best conditions were those employing the Bayliss-Turkel B 1 condition on the acoustic density deviation (or equivalently the acoustic pressure) and a particular condition on the particle velocity component normal to the absorbing boundary.

Original languageEnglish (US)
Pages (from-to)2422-2427
Number of pages6
JournalJournal of the Acoustical Society of America
Volume87
Issue number6
DOIs
StatePublished - Jan 1 1990

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monopoles
boundary conditions
acoustics
hyperbolic systems
spherical waves
Acoustics
Equations
Boundary Conditions
deviation
formulations
pulses

All Science Journal Classification (ASJC) codes

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

Cite this

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title = "Absorbing boundary conditions for a spherical monopole in a set of two-dimensional acoustics equations",
abstract = "The numerical solution of the two-dimensional (2-D) acoustic equations as a hyperbolic system by the use of the finite-difference method has been investigated. For efficient computation, the numerical domain must be truncated by an absorbing boundary condition. Deriving nearly reflectionless conditions that are both accurate and stable for spherical waves is nontrivial. In this paper, absorbing boundary conditions are developed for the case of an acoustic pulse radiated from a spherical monopole source. Numerical results are presented comparing conditions based on a characteristic variable formulation to conditions based on the Bayliss-Turkel B 1 condition. It was found that the best conditions were those employing the Bayliss-Turkel B 1 condition on the acoustic density deviation (or equivalently the acoustic pressure) and a particular condition on the particle velocity component normal to the absorbing boundary.",
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AB - The numerical solution of the two-dimensional (2-D) acoustic equations as a hyperbolic system by the use of the finite-difference method has been investigated. For efficient computation, the numerical domain must be truncated by an absorbing boundary condition. Deriving nearly reflectionless conditions that are both accurate and stable for spherical waves is nontrivial. In this paper, absorbing boundary conditions are developed for the case of an acoustic pulse radiated from a spherical monopole source. Numerical results are presented comparing conditions based on a characteristic variable formulation to conditions based on the Bayliss-Turkel B 1 condition. It was found that the best conditions were those employing the Bayliss-Turkel B 1 condition on the acoustic density deviation (or equivalently the acoustic pressure) and a particular condition on the particle velocity component normal to the absorbing boundary.

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