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Analysis of 3D time-dependent acoustic problems via a generic BE substructuring algorithm based on iterative solvers

机译:通过基于迭代求解器的通用BE子结构算法分析3D时间相关的声学问题

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In this paper, a generic BE/BE coupling algorithm based on iterative solvers is applied to solve 3D time-dependent acoustic problems. As regards the treatment of the time-dependence, a direct time-marching scheme is considered. Several types of boundary elements and cells are available in the code for the spatial description of the involved variables. Concerning the BE/BE coupling technique, its chief idea is to completely avoid storing and manipulating the zero blocks appearing in the coupled system by the use of iterative solvers. The global system matrix is not explicitly assembled; instead the algebraic subsystems (associated with the substructures of the model) are manipulated as they were independent of each other. An insight into the coupling strategy and the used iterative solver (Jacobi-preconditioned bi-conjugate gradient method) is given. Analyses of sound barriers are carried out for verifying the performance of the respective computational code modules.
机译:在本文中,基于迭代求解器的通用BE / BE耦合算法被用于解决3D时间相关的声学问题。关于时间依赖性的处理,考虑直接的时间行进方案。代码中提供了几种类型的边界元素和单元,用于空间描述所涉及的变量。关于BE / BE耦合技术,其主要思想是通过使用迭代求解器来完全避免存储和操纵出现在耦合系统中的零块。全局系统矩阵未明确组装;相反,代数子系统(与模型的子结构相关)由于彼此独立而受到操纵。深入了解了耦合策略和使用的迭代求解器(雅可比预处理双共轭梯度法)。进行声屏障分析以验证各个计算代码模块的性能。

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