Simulation of ground impedance in finite difference time domain calculations of outdoor sound propagation

Simulation of ground impedance in finite difference time domain calculations of outdoor sound propagation
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室外声音传播时域有限差分计算中的地面阻抗模拟

DOI:
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发表时间:
2005
期刊:
影响因子:
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通讯作者:
Jan Hofmann
Jan Hofmann
中科院分区:
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文献类型:
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作者:
K. Heutschi;M. Horvath;Jan Hofmann

文献摘要

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时域有限差分法(FDTD)是研究室外声传播现象的一种非常有前途的工具。一个困难是边界条件(例如,在地面)的处理,通常由频率相关的复阻抗描述。到时域的精确变换导致对应于高计算工作量的卷积运算。本文研究了用一阶和二阶多项式近似典型地阻抗的可能性。这些近似的阻抗可以很容易地纳入有限差分计算方案,只有很小的额外的计算成本。基于近似阻抗的FDTD地面效应计算结果与解析解非常吻合。
The finite difference time domain (FDTD) simulation is a very promising tool to investigate sound propagation phenomena outdoors. One difficulty is the handling of boundary conditions (e.g. at the ground) which are usually described by frequency dependent complex impedances. The exact transformation into the time domain leads to a convolution operation which corresponds to a high computational effort. The paper investigates the possibility to approximate typical ground impedances by a polynomial representation of first and second order. These approximated impedances can be incorporated easily in the finite difference computational scheme at only small additional computational cost. FDTD ground effect calculations based on the approximated impedances show very good agreement with analytical solutions.