子结构快速多极子边界元法声学迭代计算收敛特性分析

摘要

Substructure FMBEM is developed by the application of substructure technique into Fast Multipole Boundary Element Method (FMBEM). It carries out the investigation and analysis of its iterative convergence situation and the inlfuence factors by complex structure acoustic ifeld calculation. It is found that the building of matrix equation, scale of interface and filling of the sound-absorbing material have significant influence on convergence speed when the problem is solved by the programs with FORTRAN language. Finally, the transmission loss of a silencer is calculated by the substructure FMBEM with comparison with conventional BEM in order to conifrm its correctness and accuracy.%将子结构技术应用到快速多极子边界元法中，形成子结构快速多极子边界元法。通过复杂结构声场计算，对该方法的迭代计算收敛情况以及影响收敛的因素进行研究分析。经研究发现，应用Fortran语言编程求解问题时，矩阵方程构建方式，交界面的规模以及是否填充吸声材料对迭代法的收敛速度有着重要影响。最后，以应用子结构快速多极子边界元法与传统边界元法计算消声器传递损失为例，对该方法的准确性和精度进行验证。