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This study introduces a novel spherical harmonic representation for acoustic sources in wave simulations. This method overcomes grid limitations and staircasing artifacts, offering improved accuracy and efficiency for complex source distributions.

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Area of Science:

  • Computational Acoustics
  • Numerical Methods in Physics
  • Wave Propagation Simulation

Background:

  • Finite spatial extent of acoustic sources is a fundamental challenge in wave-based simulations.
  • Traditional methods using point-source interpolation in grid-based approaches (e.g., finite difference time domain) suffer from staircasing artifacts, especially with source movement.
  • These artifacts introduce inaccuracies in volumetric wave simulations.

Purpose of the Study:

  • To present an alternative representation for continuous acoustic source distributions in wave simulations.
  • To decouple source representation from specific grid point arrangements.
  • To introduce a method that mitigates staircasing effects and improves simulation accuracy.

Main Methods:

  • A spherical harmonic representation of acoustic source distributions is employed.
  • Sources are represented as filter responses driving canonical source terms with spherical harmonic directivity patterns.
  • Filter responses are derived for various common source distributions.

Main Results:

  • The spherical harmonic representation effectively decouples sources from grid structures, avoiding staircasing.
  • Simulation results demonstrate convergence and stable behavior under source rotation and translation.
  • The method shows potential for extension to time-varying sources and offers computational cost advantages.

Conclusions:

  • The spherical harmonic source representation offers a robust and accurate alternative to traditional grid-based methods.
  • This approach enhances the fidelity of volumetric wave simulations by eliminating interpolation-induced artifacts.
  • The method provides a computationally efficient and versatile tool for simulating complex acoustic phenomena.