Sound energy decay in coupled spaces using a parametric analytical solution of a diffusion equation

Area of Science:

• Acoustics
• Architectural Acoustics
• Sound Engineering

Background:

• Sound field behavior in performance spaces is complex, especially in coupled volumes.
• Coupled volume concert halls offer passive acoustic modification via adjustable coupling areas.
• Achieving both clarity and reverberation is challenging in single-volume spaces.

Purpose of the Study:

• To develop a novel heuristic model for sound energy behavior in coupled concert halls.
• To provide an analytical solution to the diffusion equation for acoustic modeling.
• To validate the proposed model against experimental and numerical data.

Main Methods:

• Developed a heuristic model based on an analytical solution of the diffusion equation.
• Utilized physically justified approximations for the model.
• Validated the model using scale model measurements and geometrical acoustics simulations.

Main Results:

• The proposed analytical model accurately describes sound energy behavior in coupled spaces.
• The model accounts for non-exponential sound energy decay observed in such halls.
• Validation confirmed the model's effectiveness compared to existing methods.

Conclusions:

• The heuristic analytical model offers a new approach to understanding sound energy decay in coupled concert halls.
• This model can aid in designing performance spaces with improved acoustic qualities.
• It provides a computationally efficient alternative to numerical solvers for diffusion theory.