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Efficient calculation of two-dimensional periodic and waveguide acoustic Green's functions
K V Horoshenkov1, Simon N Chandler-Wilde
1School of Engineering, University of Bradford, United Kingdom. k.horoshenkov@bradford.ac.uk
The Journal of the Acoustical Society of America
|May 11, 2002
Summary
New methods efficiently calculate sound propagation from arrays of sources over impedance planes and in canyons. These techniques improve accuracy for noise modeling in urban streets and ducts.
Area of Science:
- Acoustics
- Computational physics
- Applied mathematics
Background:
- Modeling sound propagation in complex environments like urban canyons and ducts is crucial for noise control.
- Existing methods for infinite arrays and specific Green's functions can be computationally intensive.
Purpose of the Study:
- To develop novel representations and efficient calculation methods for sound propagation problems.
- To enhance the accuracy and applicability of numerical methods in acoustics.
Main Methods:
- Replacing infinite sums of source contributions with finite sums and a Laplace-type integral.
- Employing a pole subtraction technique to smooth integrands for numerical integration.
- Proposing a specific numerical integration method tailored for acoustic problems.
Main Results:
- Achieved highly accurate results across the frequency spectrum for various ground surface types.
- Demonstrated the effectiveness of the new representations and calculation methods.
- Validated the proposed numerical integration technique.
Conclusions:
- The developed methods offer efficient and accurate solutions for sound propagation from arrays and in canyons.
- These techniques are expected to be valuable for boundary element modeling in noise propagation studies.
- The findings have implications for scattering problems involving periodic surfaces.