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  • 标题:Application Of The Method Of Fundamental Solutions As A Coupling Procedure To Solve Outdoor Sound Propagation Problems
  • 本地全文:下载
  • 作者:Sebastian Hampel ; Adrían P. Cisilino ; Sabine Langer
  • 期刊名称:Mecánica Computacional
  • 印刷版ISSN:2591-3522
  • 出版年度:2006
  • 卷号:XXV
  • 期号:30
  • 页码:2805-2816
  • 出版社:CIMEC-INTEC-CONICET-UNL
  • 摘要:In a computational model for outdoor sound propagation, the relevant propagation
    phenomena, among which are refraction and diffraction, must be implemented. All numerical methods
    applied in this field so far have disadvantages or limits. The Finite Element Method has to discretize
    the domain and hence is restricted to closed or at least moderate sized domains.
    The Boundary Element Method can hardly consider inhomogeneous domains and the computation
    effort increases exponentially for large systems. Geometric acoustics algorithms like ray tracing
    consider sound as particles and are hence not able to represent wave phenomena.
    It is the aim of this work to combine the advantages of the BEM and of the ray method: In the nearfield
    where obstacles and complex geometries occur - and so diffraction and multiple reflection are
    expected - the model uses the BEM. Then, a ray model is coupled to compute the sound emission at
    large distances, because this model can take into account refraction resulting from wind or temperature
    profiles. The ray model requires point sources as input data. However, a boundary element calculation
    always delivers the pressure or its normal derivative along the boundary. Hence, for the coupling of
    both models it is necessary to convert the BEM results into equivalent point sources. The Method of
    Fundamental Solutions (MFS) is found suitable for this purpose.
    To couple the BEM and ray model, the acoustic half-space is divided into a BEM domain and a ray
    domain by defining a virtual interface. Along this interface, the pressure is computed with the BEM.
    The idea behind the MFS is to place a number of sources with unknown intensities around the domain
    of interest. These intensities are then computed in order to fulfill prescribed boundary conditions at
    discrete points on the boundary of the domain. The MFS can be either applied with fixed source
    positions or with an optimization algorithm, which finds the optimal source positions by minimizing
    the residual along the boundary in a least-squares sense. Both types of the MFS are used in this work.
    The verification of this new coupling procedure is shown for a two-dimensional problem consisting of
    a of a noise barrier in a homogeneous atmosphere, for which a reference solution is known.
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