并行计算水下大尺度弹性壳体的低频声散射  

Parallel Calculation of Acoustic Scattering from Underwater Large Scale Elastic Shell at Low Frequency

作　　者：张建民[1,2] 安俊英[1] 慈国庆[1] 王宁[2] ZHANG Jian-min AN Jun-ying CI Guo-qing WANG Ning(Qingdao Branch, Institute of Acoustics, Chinese Academy of Sciences, Qingdao 266023, China College of Information Science and Engineering, Ocean University of China, Qingdao 266100, China)

机构地区：[1]中国科学院声学研究所北海研究站,青岛266023 [2]中国海洋大学信息科学与工程学院,青岛266100

出　　处：《计算机科学》2017年第3期48-50,54,共4页Computer Science

基　　金：山东省超级计算科技专项:水中大尺度复杂结构弹性体目标声特性的并行计算技术研究;国家自然科学基金项目(11304344);山东省自然科学基金项目(ZR2013AQ026)资助

摘　　要：有限元与边界元耦合模型是研究水下弹性壳体目标低频声散射常用的数值方法。应用该模型计算大尺度弹性目标的声散射时需要大量的计算时间与存储空间,采用并行数值的方式可以解决这一问题。首先并行计算生成有限元矩阵和边界元矩阵,然后应用并行化的广义极小残差(GMRES)迭代算法求解大型非对称线性方程组。详细叙述了并行GMRES(m)迭代算法的执行过程,并以球壳的声散射计算为例分析了迭代步数对算法收敛情况的影响。最后计算了Benchmark目标模型的低频散射声场,分析了其收发分置散射目标强度以及表面声场的分布。The coupling model of finite element method （FEM） and boundary element method （BEM） is effective to calculate the acoustic scattering from submerged elastic shell at low frequency. Applying this model, the calculation of acoustic scattering from large scale elastic object may consume massive computing time and memory space. In this pa- per,the parallel computing technology was used when implementing the catculatiorL At first, the matrices of FEM and BEM are generated through parallel computing, secondly the paralleled generalized minimum residual method （GMRES） is used to solve the large nonsymmetric linear equations which generated by the coupling of FEM and BEM. The paral- leled GMRES（m） iterative algorithm is detailedly described and the convergence of the algorithm is analyzed by setting different iterative steps when calculating sound scattering from spherical shell. At last, the scattering of Benchmark model at low frequency is calculated, the bistatic target strength （TS） and the surface field of the Benchmark model are analyzed.

关 键 词：声散射 有限元 边界元 GMRES(m)算法 并行计算 

分 类 号：TP301[自动化与计算机技术—计算机系统结构]