Two-dimensional finite difference-time domain simulation of moving sound source and receiver

Abstract

In this paper, a moving sound source and a receiver on an arbitrary trajectory are implemented in the two-dimensional finite difference-time domain (FDTD) method. Two methods are proposed to implement a moving point source and a receiver in the FDTD method in which physically valid analysis is possible including the Doppler effect. One is a direct method and the other is a convolution method. The formulations and numerical experiments are made for the two-dimensional sound field, and the accuracy of two proposed methods is compared. It is confirmed that both methods can be applied to the moving sound source and receiver including the Doppler effect, and that two methods have the almost same accuracy. It is found that the convolution method has an advantage that the source waveform and the moving speed can be freely changed at the time of convolution when either the source or receiver is stationary.