Symplectic Time-Domain Finite Element Method (STD-FEM) for Room Acoustic Modeling

Huszty, Csaba and Izsák, Ferenc (2023) Symplectic Time-Domain Finite Element Method (STD-FEM) for Room Acoustic Modeling. In: Internoise 2023. INCE Conference Proceedings . Institute of Noise Control Engineering, Wakefield (MA), pp. 3089-3099.

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Abstract

A new, extended symplectic time-domain finite element method (STD-FEM) is proposed for room acoustic modeling. As a mathematical model for sound propagation and reflection, the classical timedomain wave equations are used, which can be extended with air absorption. Frequency-dependent locally reactive boundary conditions are also introduced to the model. Spatially, a third-order tensor product type spectral element discretization is applied, which allows us to use explicit time steps. For this purpose, a partitioned Runge–Kutta method is employed, which is an extension of a third-order symplectic time-discretization. The method is validated on a number of examples and the performance and stability benefits are presented. We present the implementation of the method in the soundy.ai application.

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