Three-Dimensional Sound Field Analysis Using Compact Explicit-Finite Difference Time Domain Method with Graphics Processing Unit Cluster System
Three-Dimensional Sound Field Analysis Using Compact Explicit-Finite Difference Time Domain Method with Graphics Processing Unit Cluster System
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DOI：
10.7567/jjap.52.07hc11
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发表时间：
2013-07
影响因子：
1.5
通讯作者：
T. Ishii;T. Tsuchiya;K. Okubo
中科院分区：
文献类型：
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作者：
T. Ishii;T. Tsuchiya;K. Okubo
在本研究中，紧凑的时域显式有限差分（CE-FDTD）方法被应用于三维声场分析，以减少计算机资源。 CE-FDTD方法有多种衍生方案。首先对它们进行理论上的检验以评估数值精度。理论结果表明，内插宽带（IWB）方案具有最宽的带宽，其中截止频率与奈奎斯特频率一致。对计算性能进行了理论估计，然后利用图形处理单元集群系统进行了实验评估。结果发现，在实现相同截止频率的情况下，IWB方案的内存使用量不到标准蛙跳（SLF）方案的三分之一。还发现，与具有图形处理单元（GPU）集群系统的SLF方案相比，具有共享存储器的IWB方案的计算时间大约是19%。脉冲响应是针对容积约为 4500 m3 的大房间计算的，其中采样率为 40 kHz。证实IWB方案可以计算出具有自然混响的三维声场。
In this study, the compact explicit-finite difference time domain (CE-FDTD) method is applied to the three-dimensional sound field analysis to reduce computer resources. There are various derivative schemes in the CE-FDTD method. They are first examined theoretically to evaluate the numerical accuracy. As a theoretical result, it is found that the interpolated wide band (IWB) scheme has the widest bandwidth in which the cut-off frequency is in agreement with the Nyquist frequency. The calculation performance is theoretically estimated, then experimentally evaluated with the graphics processing unit cluster system. As a result, it is found that the memory usage of the IWB scheme is less than one-third of that of the standard leapfrog (SLF) scheme to achieve the same cut-off frequency. It is also found that the calculation time of the IWB scheme with the shared memory is about 19% compared with that of the SLF scheme with the graphics processing unit (GPU) cluster system. The impulse response is calculated for a large room with a volume capacity of about 4500 m3 in which the sampling rate was 40 kHz. It is confirmed that the three-dimensional sound field with the natural reverberation can be calculated by the IWB scheme.