An uncertainty reduction technique for predicting the uncertain acoustic field with interval environmental parameters

Area of Science:

• Acoustics
• Computational Mechanics
• Uncertainty Quantification

Background:

• The interval perturbation method struggles with acoustic field prediction when the speed of sound is uncertain, particularly within specific frequency bands.
• This limitation affects the precision of acoustic simulations, necessitating improved methodologies.

Purpose of the Study:

• To propose and validate an uncertainty reduction technique for enhancing the accuracy of acoustic field simulations.
• To address the failure of interval perturbation methods caused by uncertain speed of sound in certain frequency bands.

Main Methods:

• Modal frequency analysis to identify frequency bands where the interval method is invalid.
• Dimensionality reduction by converting uncertain speed of sound into a certain parameter.
• Application of the technique within interval or subinterval perturbation methods.

Main Results:

• The proposed technique effectively reduces uncertainty in the speed of sound.
• Accurate prediction of uncertain acoustic fields is achieved, even with interval parameters.
• Numerical examples confirm the technique's efficacy.

Conclusions:

• The developed uncertainty reduction technique is effective for acoustic field simulation with interval parameters.
• This method enhances the reliability of acoustic predictions in the presence of speed of sound uncertainty.
• The technique offers a valuable tool for improving the precision of computational acoustics.