中文摘要：

首次采用有限元法（FEM），对行波型热声发动机实验系统进行了数值模拟，以线性热声理论作为计算模型，且与实验系统具有相同的几何结构和运行工况，同时采用有限元方法中的加权余量法对计算模型进行求解，通过自主编写的MATLAB计算程序，对热声系统进行一系列的迭代计算，计算结果成功观测到了行波型热声发动机系统内复杂的声场分布特性和流场特性。计算结果与实验结果的对比验证了有限元方法对行波型热声发动机模拟的有效性。

英文摘要：

Experimental system of a traveling-wave thermoacoustic engine has been studied by numeri- cal simulation based on finite element method （FEM） ,using the linear thermoacoustic theory as the calcula- tion model, which has the same geometrical structureand operating conditions with the experimental system. It adopts weighted residual method of the FEM to solve the calculation model,and a MATLAB calculation program to make iterative calculation of thermoacoustic system. The calculation results exhibit acoustic field distribution characteristics and complex flow field characteristics of traveling-wave thermoacoustic engine. In addition, the calculated results are compared with the experimental results.