Computing Reverberation Time in a 3D Room Model Using a Finite Difference Method Applied for the Diffusion Equation

被引:4
|
作者
Kraszewski, Jaroslaw [1 ]
机构
[1] Wroclaw Univ Technol, Chair Acoust, Inst Telecommun Teleinformat & Acoust, PL-50370 Wroclaw, Poland
关键词
diffusion method; reverberation time; finite differences method; SOUND FIELD;
D O I
10.2478/v10168-012-0023-6
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The article presents theoretical values of reverberation times calculated on the basis of the diffusion equation for three room models: fiat, cubic, and long. The article shows that not only the average absorption coefficient, but also location of the absorbent material, as well as the place where the time is counted have an impact on the reverberation time, calculated on the basis of the diffusion equation. Despite that, the diffusion model is based on statistical assumptions. The primary goal of the article was to show that the model has geometrical features.
引用
收藏
页码:171 / 180
页数:10
相关论文
共 50 条
  • [1] A high order finite difference method with Richardson extrapolation for 3D convection diffusion equation
    Ma, Yuezhen
    Ge, Yongbin
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (09) : 3408 - 3417
  • [2] Diffusion to a cube: A 3D implicit finite difference method
    Batchelor-McAuley, Christopher
    Compton, Richard G.
    JOURNAL OF ELECTROANALYTICAL CHEMISTRY, 2020, 877
  • [3] Performance of some finite difference methods for a 3D advection–diffusion equation
    A. R. Appadu
    J. K. Djoko
    H. H. Gidey
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018, 112 : 1179 - 1210
  • [4] Finite difference time domain method for computing the band-structure of 3D photonic crystals
    Zhou, M.
    Pan, C. P.
    Liu, L. P.
    Yuan, R.
    Ren, R. F.
    Cai, L.
    NANOSCIENCE AND TECHNOLOGY, PTS 1 AND 2, 2007, 121-123 : 599 - 602
  • [5] Finite Difference Method for Solving the Time Fractional Diffusion Equation
    Zhang, Yu-xin
    Ding, Hengfei
    ASIASIM 2012, PT III, 2012, 325 : 115 - 123
  • [6] THE 3D FOURIER EQUATION WITH THE ROBIN'S BOUNDARY CONDITION USING THE FINITE DIFFERENCE METHOD
    Biernat, Grzegorz
    Lara-Dziembek, Sylwia
    Pawlak, Edyta
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS, 2014, 13 (01) : 5 - 11
  • [7] Finite difference scheme for solving general 3D convection-diffusion equation
    McTaggart, N
    Zagórski, R
    Bonnin, X
    Runov, A
    Schneider, R
    COMPUTER PHYSICS COMMUNICATIONS, 2004, 164 (1-3) : 318 - 329
  • [8] Performance of some finite difference methods for a 3D advection-diffusion equation
    Appadu, A. R.
    Djoko, J. K.
    Gidey, H. H.
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2018, 112 (04) : 1179 - 1210
  • [9] Characterization of a reverberation chamber by 3D finite element method
    Zhang, DM
    Li, EP
    2002 3RD INTERNATIONAL SYMPOSIUM ON ELECTROMAGNETIC COMPATIBILITY, 2002, : 394 - 396
  • [10] Novel rate equation model using finite difference method in time domain
    Kim, Do-Gyun
    Choi, Young-Wan
    OPTICAL TRANSMISSION, SWITCHING, AND SUBSYSTEMS IV, PTS 1 AND 2, 2006, 6353