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Acoustical wave propagator

Pan1, Wang

  • 1Department of Mechanical and Materials Engineering, The University of Western Australia, Nedlands, Australia.

The Journal of the Acoustical Society of America
|August 24, 2000
PubMed
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This study introduces an explicit acoustical wave propagator (AWP) for modeling wave motion. The Chebyshev-Fourier scheme accurately and efficiently predicts time-domain acoustical wave propagation and scattering.

Area of Science:

  • Acoustics
  • Computational Physics
  • Numerical Analysis

Background:

  • Accurate modeling of acoustical wave propagation is crucial in various scientific and engineering fields.
  • Existing methods may face limitations in computational efficiency or accuracy for time-domain simulations.
  • Developing robust numerical schemes for wave phenomena remains an active research area.

Purpose of the Study:

  • To introduce a novel explicit acoustical wave propagator (AWP) for simulating time-domain acoustical wave evolution.
  • To develop a computational scheme that achieves high accuracy and efficiency in wave propagation and scattering predictions.
  • To validate the proposed method through analysis and numerical examples.

Main Methods:

  • An explicit acoustical wave propagator (AWP) is formulated to describe wave dynamics.

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  • The AWP is approximated using a Chebyshev polynomial expansion for high-precision convergence.
  • Spatial gradients are computed efficiently via a Fourier transformation scheme.

    • Main Results:

    • The Chebyshev polynomial expansion converges to machine accuracy for the AWP.
    • The Fourier transformation scheme provides an effective method for evaluating spatial gradients.
    • Numerical examples confirm the high accuracy and computational effectiveness of the Chebyshev-Fourier scheme.

    Conclusions:

    • The developed Chebyshev-Fourier scheme offers a highly accurate and computationally effective approach for predicting time-domain acoustical wave propagation.
    • This method is suitable for simulating complex acoustical phenomena, including wave scattering.
    • The explicit AWP provides a valuable tool for researchers and engineers in acoustics and related disciplines.