An algebraic correction for the Westervelt equation to account for the local nonlinear effects in parametric acoustic...

Area of Science:

• Acoustics
• Computational Physics
• Nonlinear Acoustics

Background:

• Parametric arrays generate focused low-frequency sound.
• The Westervelt wave equation models nonlinear acoustics but struggles with local effects.
• Accurate near-field acoustic predictions are challenging.

Purpose of the Study:

• To develop a computational method for parametrically generated low-frequency sound fields.
• To enhance the Westervelt wave equation for improved accuracy in near-field predictions.
• To validate the proposed approach using parametric radiation from a baffled circular piston.

Main Methods:

• Utilizing the Westervelt wave equation as a base model.
• Proposing an algebraic correction to incorporate local nonlinear effects.
• Applying the enhanced model to simulate parametric radiation from a baffled circular piston.

Main Results:

• The proposed computational approach accurately calculates low-frequency sound fields.
• The inclusion of local nonlinear effects improves predictions in the near-field.
• Validation demonstrates the method's effectiveness for complex acoustic fields.

Conclusions:

• The enhanced Westervelt equation provides a robust method for simulating parametric sound generation.
• This approach extends the applicability of existing Westervelt equation solvers to near-field scenarios.
• The study offers a valuable tool for designing and analyzing parametric acoustic devices.