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      Diffusion equation modeling for sound energy flow analysis in multi domain structures

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      Author(s)
      Gül, Zühre Sü
      Odabaş, E.
      Xiang, N.
      Çalışkan, M.
      Date
      2019
      Source 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
      Article
      Item Usage Stats
      193
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      205
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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 sources
      Acoustic measurements and instrumentation
      Statistical models
      Computer graphics
      Room acoustics
      Optical absorption
      Acoustical properties
      Alloys
      Acoustic signal processing
      Sound source perception
      Permalink
      http://hdl.handle.net/11693/53332
      Published Version (Please cite this version)
      https://dx.doi.org/10.1121/1.5095877
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