Enhanced Numerical Equivalent Acoustic Material (eNEAM): Analytical and Numerical Framework for Porous Media with...

Area of Science:

• Acoustics
• Materials Science
• Computational Physics

Background:

• Classical models struggle with microscopic characteristics of porous and dissipative media.
• Accurate sound propagation prediction is crucial for material design and analysis.
• Existing numerical methods often lack efficiency or accuracy in complex acoustic environments.

Purpose of the Study:

• Introduce the Enhanced Numerical Equivalent Acoustic Material (eNEAM) framework.
• Combine analytical and numerical approaches for improved acoustic modeling.
• Enhance prediction accuracy and computational efficiency for sound propagation in porous materials.

Main Methods:

• Developed an analytical formulation for effective impedance, complex wavenumber, and absorption coefficient.
• Integrated thermo-viscous effects into the analytical model.
• Employed a parameter optimization strategy focusing on the thermolabile coefficient (ΨB).
• Utilized adaptive mesh refinement in finite-difference time-domain (FDTD) simulations.

Main Results:

• Achieved closed-form expressions for acoustic properties, enabling validation against impedance-tube data.
• Demonstrated significant improvement in low-frequency absorption predictions through parameter optimization.
• Found thermo-viscous losses to be negligible at macroscopic scales, allowing computational cost reduction.
• Reduced simulation time by over 50% using adaptive mesh refinement in 1-D FDTD.

Conclusions:

• The eNEAM framework offers a versatile and accurate solution for modeling porous materials.
• It effectively bridges experimental data, analytical models, and numerical simulations.
• The framework maintains robustness against parameter variations, enhancing reliability.
• eNEAM provides a computationally efficient approach for acoustic simulations.