High temperature acoustic absorption and enhancement of triply periodic minimal surfaces: Theory and simulation

Triply periodic minimal surfaces (TPMS) possess exceptional mechanical and thermal performances. As a type of innovative acoustic metamaterial, TPMS also exhibits great application potential in acoustic noise absorption and attenuation. This work studies the temperature-dependent sound absorption characteristics of various TPMS structures through theoretical modeling and numerical simulation. Firstly, the classical Johnson-Champoux-Allard (JCA) model and a newly improved transfer matrix method (ITMM) are adopted to obtain theoretical predictions, which are further validated by simulation and experimental data. Temperature variation alters the thermo-physical properties of air, inducing acoustic impedance mismatch and thereby regulating the sound absorption performance of TPMS structures. Secondly, the underlying absorption mechanism and temperature effect are clarified by analyzing the distribution characteristics of sound pressure, particle velocity and energy dissipation density. The results reveal that viscous loss originates from the friction between airflow and TPMS walls, whereas thermal loss is dominated by temperature gradients. High temperatures enhance viscous dissipation by increasing air viscosity and sound speed, while the reduction in air density weakens the dissipation intensity; the net effect is determined by the inherent damping state of TPMS. Furthermore, the effects of TPMS parameters are systematically discussed. Accordingly, the porosity gradient design and porous medium filling strategies are proposed to improve the sound absorption performance. Finally, this work provides a theoretical reference for promoting the engineering application of TPMS metamaterials in high-temperature noise reduction scenarios.