Room Acoustics Simulation Using 3-D Compact Explicit FDTD Schemes

Room Acoustics Simulation Using 3-D Compact Explicit FDTD Schemes
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使用 3-D 紧凑显式 FDTD 方案进行室内声学仿真

DOI:
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发表时间:
2011
期刊:
IEEE Transactions on Audio, Speech, and Language Processing
影响因子:
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通讯作者:
M. V. Walstijn
M. V. Walstijn
中科院分区:
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文献类型:
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作者:
K. Kowalczyk;M. V. Walstijn

文献摘要

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本文介绍了使用时域有限差分(FDTD)技术模拟室内声学的方法,重点是边界和介质建模。一个家庭的非交错的3-D紧凑显式FDTD方案的稳定性,精度和计算效率进行了分析,并确定最准确和各向同性的计划的基础上的直线网格。还提出了一种与局部反应面理论相一致的频率相关边界模型,其中壁阻抗用数字滤波器表示。对于边界,数值反射的精度进行了分析,并提供了稳定性证明。结果表明,所提出的3-D内插宽带和各向同性计划优于直接相关的技术的基础上Yee的交错网格和标准的数字波导网格,和边界制剂一般具有类似的基本计划使用的属性。
This paper presents methods for simulating room acoustics using the finite-difference time-domain (FDTD) technique, focusing on boundary and medium modeling. A family of nonstaggered 3-D compact explicit FDTD schemes is analyzed in terms of stability, accuracy, and computational efficiency, and the most accurate and isotropic schemes based on a rectilinear grid are identified. A frequency-dependent boundary model that is consistent with locally reacting surface theory is also presented, in which the wall impedance is represented with a digital filter. For boundaries, accuracy in numerical reflection is analyzed and a stability proof is provided. The results indicate that the proposed 3-D interpolated wideband and isotropic schemes outperform directly related techniques based on Yee's staggered grid and standard digital waveguide mesh, and that the boundary formulations generally have properties that are similar to that of the basic scheme used.