Sound field modeling in urban squares using a diffusion equation model

2007 ◽  
Vol 122 (5) ◽  
pp. 2964
Author(s):  
Yun Jing ◽  
Ning Xiang
Keyword(s):  
Diffusion Equation ◽  
Sound Field ◽  
Equation Model ◽  
Field Modeling

Sound field modeling in streets with a diffusion equation

1999 ◽  
Vol 106 (5) ◽  
pp. 2638-2645 ◽  
Author(s):  
J. Picaut ◽  
L. Simon ◽  
J. Hardy
Keyword(s):  
Diffusion Equation ◽  
Sound Field ◽  
Field Modeling

Diffusion Equation-Based Finite Element Modeling of a Monumental Worship Space

2017 ◽  
Vol 25 (04) ◽  
pp. 1750029 ◽  
Author(s):  
Zühre Sü Gül ◽  
Ning Xiang ◽  
Mehmet Çalışkan
Keyword(s):  
Finite Element ◽  
Diffusion Equation ◽  
Geometric Model ◽  
Three Dimensional ◽  
Sound Field ◽  
Equation Model ◽  
Field Analysis ◽  
Room Acoustics ◽  
Sound Energy ◽  
Worship Space

In this work, a diffusion equation model (DEM) is applied to a room acoustics case for in-depth sound field analysis. Background of the theory, the governing and boundary equations specifically applicable to this study are presented. A three-dimensional geometric model of a monumental worship space is composed. The DEM is solved over this model in a finite element framework to obtain sound energy densities. The sound field within the monument is numerically assessed; spatial sound energy distributions and flow vector analysis are conducted through the time-dependent DEM solutions.

Sound field modeling in a street canyon with a diffusion equation

2006 ◽  
Vol 120 (5) ◽  
pp. 3334-3334
Author(s):  
Judicaël Picaut ◽  
Stéphane Colle ◽  
Michel Bérengier
Keyword(s):  
Diffusion Equation ◽  
Street Canyon ◽  
Sound Field ◽  
Field Modeling

scholarly journals Reverberated sound field modeling in coupled rooms using a diffusion equation

2004 ◽  
Vol 116 (4) ◽  
pp. 2553-2553
Author(s):  
Alexis Billon ◽  
Vincent Valeau ◽  
Anas Sakout ◽  
Judical Picaut
Keyword(s):  
Diffusion Equation ◽  
Sound Field ◽  
Field Modeling ◽  
Coupled Rooms

Sound field modeling in streets by a diffusion equation

1999 ◽  
Vol 105 (2) ◽  
pp. 1283-1283
Author(s):  
Judicaël Picaut ◽  
Laurent Simon
Keyword(s):  
Diffusion Equation ◽  
Sound Field ◽  
Field Modeling

scholarly journals Numerical Solution of Fractional Diffusion Equation Model for Freezing in Finite Media

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
R. S. Damor ◽  
Sushil Kumar ◽  
A. K. Shukla
Keyword(s):  
Diffusion Equation ◽  
Interface Velocity ◽  
Biological Tissues ◽  
Fractional Diffusion ◽  
Equation Model ◽  
Fractional Diffusion Equation ◽  
Heat Transfer Analysis ◽  
Engineering Sciences ◽  
Space Fractional Diffusion Equation ◽  
Fractional Differential

Phase change problems play very important role in engineering sciences including casting of nuclear waste materials, vivo freezing of biological tissues, solar collectors and so forth. In present paper, we propose fractional diffusion equation model for alloy solidification. A transient heat transfer analysis is carried out to study the anomalous diffusion. Finite difference method is used to solve the fractional differential equation model. The temperature profiles, the motion of interface, and interface velocity have been evaluated for space fractional diffusion equation.

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