Modeling of multiply connected sound spaces by the surface coupling approach

Area of Science:

• Acoustics
• Computational physics
• Room acoustics

Background:

• Predicting sound fields in complex, multiply connected spaces with internal noise sources presents significant challenges.
• Existing methods may struggle with accuracy and computational efficiency in intricate room geometries.

Purpose of the Study:

• To develop and validate a novel surface coupling approach for accurate sound field prediction in multiply connected spaces.
• To establish a method that effectively handles internal noise sources and complex room interfaces.

Main Methods:

• The surface coupling approach utilizes sound pressure and particle velocity at interfaces, modeled by interface functions like plane surface harmonics for rectangular interfaces.
• Acoustical descriptors, including blocked sound pressure and impedance, are used to identify individual rooms.
• Acoustical continuity conditions are applied to couple the rooms and determine the overall sound field.

Main Results:

• The approach was successfully applied to predict the sound field generated by point sources in three connected parallelepipedic rooms.
• A parametric study indicated that a normalized harmonics wavenumber twice the normalized sound wavenumber yields acceptable sound prediction accuracy.
• Sound energy flow was predicted for monopole sources in a rectangular space coupled with a semi-infinite field.

Conclusions:

• The surface coupling approach provides a robust and accurate method for predicting sound fields in multiply connected spaces.
• The findings offer a valuable tool for acoustic analysis and design in complex environments.
• The study demonstrates the efficacy of using specific acoustical descriptors and interface functions for detailed sound field modeling.