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A versatile computational approach for the numerical modelling of parametric acoustic array
Milan Červenka1, Michal Bednařík1
1Czech Technical University in Prague, Faculty of Electrical Engineering, Technická 2, 166 27 Prague 6, Czech Republic.
The Journal of the Acoustical Society of America
|November 2, 2019
Summary
This study introduces a computational method for modeling low-frequency sound generation. It accurately simulates complex acoustic fields without paraxial approximations, offering insights into parametric sound radiation.
Area of Science:
- Acoustics
- Computational Physics
- Numerical Modeling
Background:
- Parametric acoustic arrays generate low-frequency sound through nonlinear interaction of higher-frequency waves.
- Accurate numerical modeling of these complex acoustic fields is crucial for understanding their behavior.
Purpose of the Study:
- To present a versatile computational approach for the numerical modeling of parametrically generated low-frequency sound.
- To compare the performance of different governing wave equations (Westervelt, Kuznetsov, second-order wave equation) in this context.
Main Methods:
- Utilizes a quasi-linear approximation, avoiding the paraxial approximation.
- Calculates the primary acoustic field using the Rayleigh integral or boundary element method.
- Calculates the secondary difference-frequency field using the finite element method.
Main Results:
- The proposed approach enables the study of near-field, far-field, and off-axis fields of difference-frequency waves.
- Numerical examples demonstrate parametric radiation from a baffled piston and a piston combined with a horn.
- Comparison of numerical results for different governing wave equations is provided.
Conclusions:
- The developed computational method is versatile for modeling parametric sound radiation from complex sources.
- The approach provides a robust framework for analyzing acoustic fields without restrictive approximations.
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