Diffusion equation modeling for sound energy flow analysis in multi domain structures
Date
2019Source Title
Journal of the Acoustical Society of America
Print ISSN
0001-4966
Publisher
Acoustical Society of America
Volume
145
Issue
4
Pages
2703 - 2717
Language
English
Type
ArticleItem Usage Stats
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Abstract
This study investigates reliable models and methods to be applied in sound field analysis of multi-domain structures. The case structures are two monuments, namely, Süleymaniye Mosque and Hagia Sophia in İstanbul. These are both multi-volume spaces with many smaller sub-volumes coupled to each other by coupling apertures in form of arches. A key concern of the study is to examine energy flow decays and understand the mechanism of multi-slope sound energy decays. The methodology involves diffusion equation model (DEM) application in a finite-element scheme for sound energy flow analysis. Energy flow decays, energy flow dips, and spatial flow vectors are examined for single versus multi-domain DEM solutions. It is concluded that specification of different domains with individual diffusion coefficients is a critical setting such that, if not assigned correctly, may mislead the results. The energy flow vector analysis has enabled us to comprehend the architectural features in relation to such energy flow decay dip occurrence. The computational efficiency of DEM is also discussed. The DEM application in this study has proved to be a powerful and practical method in room acoustics applications, specifically for multi-rate decay investigations.
Keywords
Energy forms and sourcesAcoustic measurements and instrumentation
Statistical models
Computer graphics
Room acoustics
Optical absorption
Acoustical properties
Alloys
Acoustic signal processing
Sound source perception