Coherent Image Source Modeling of Sound Fields in Long Spaces with a Sound-Absorbing Ceiling

Hequn Min,Ke Xu

doi:10.3390/app11156743

Abstract

Sound-absorbing boundaries can attenuate noise propagation in practical long spaces, but fast and accurate sound field modeling in this situation is still difficult. This paper presents a coherent image source model for simple yet accurate prediction of the sound field in long enclosures with a sound absorbing ceiling. In the proposed model, the reflections on the absorbent boundary are separated from those on reflective ones during evaluating reflection coefficients. The model is compared with the classic wave theory, an existing coherent image source model and a scale-model experiment. The results show that the proposed model provides remarkable accuracy advantage over the existing models yet is fast for sound prediction in long spaces.

Highlights

Key Laboratory of Urban and Architectural Heritage Conservation, Ministry of Education, School of Architecture, Abstract: Sound-absorbing boundaries can attenuate noise propagation in practical long spaces, but fast and accurate sound field modeling in this situation is still difficult
The numerical model of Li et al [3] originated from a coherent image source method by Lemire and Nicolas [13], in which it is implicitly assumed that the wave front shapes remain spherical during each successive reflection of the initial spherical wave radiation [13]
As the classic wave theory is analytically exact in the spaces studied in this paper [16], it is used as a reference method to provide benchmark results in validations

Summary

Introduction

Key Laboratory of Urban and Architectural Heritage Conservation, Ministry of Education, School of Architecture, Abstract: Sound-absorbing boundaries can attenuate noise propagation in practical long spaces, but fast and accurate sound field modeling in this situation is still difficult. This paper presents a coherent image source model for simple yet accurate prediction of the sound field in long enclosures with a sound absorbing ceiling. The numerical model of Li et al [3] originated from a coherent image source method by Lemire and Nicolas [13], in which it is implicitly assumed that the wave front shapes remain spherical during each successive reflection of the initial spherical wave radiation [13]. This assumption may hardly hold for reflections on sound-absorbing boundaries

Methods

Results

Conclusion