高速列车突入隧道引起的压缩波的理论研究

应用气动声学理论对高速列车突入隧道引起的复杂压力场进行了研究．根据实际情况，对气动声学的Ffowcs Williams-Hawkings方程(FW—H方程)进行简化，以节省计算资源和计算时间．应用伽利略变换对简化后的方程进行变量变换，使得曲面函数仅与空间相关；再直接对方程进行傅立叶变换，将其从时域转换到频域．最后，采用格林函数法求解FW—H方程，得到了高速列车突入隧道产生的压缩波的波形曲线，该曲线与既有模型试验结果一致．

Theoretical Investigation of Compression Wave Induced by High-Speed Train Entering Tunnel

The complex pressure field resulted from a high-speed train entering a tunnel was investigated based on the theory of aerodynamic sound. In light of actual conditions, the Ffowcs Williams-Hawkings (FW-H) equation was simplified to save calculation resource and calculation time. The Galilean transformation was applied to the simplified equation to make a surface function related to only coordinates. Then, by applying the Fourier transform the problem was transformed from the time domain into the frequency domain. Finally, the compression wave profile was determined by virtue of solving the Ffowcs Williams-Hawkings equation with the help of the Green function methods, according with the present experimental result.