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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Large-scale simulations of acoustic-structure interaction using the fast multipole BEM - Plenary lecture presented at the 76th Annual GAMM Conference, Luxembourg, 29 March 1 April 2005
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Large-scale simulations of acoustic-structure interaction using the fast multipole BEM - Plenary lecture presented at the 76th Annual GAMM Conference, Luxembourg, 29 March 1 April 2005

机译:2005年3月29日在卢森堡举行的第76届GAMM年度会议上,全体会议使用快速多极BEM进行声-结构相互作用的大规模模拟

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摘要

For the simulation of acoustic-structure interaction problems, the coupled field equations must be solved. The structure is commonly discretized using finite elements, whereas for the acoustic field the boundary element method (BEM) is favorable. A mortar BEM-FEM coupling algorithm is developed that allows the combination of non-conforming meshes. The high flexibility for the choice of discretizations offers a high efficiency, since specialized shape functions and adaptive mesh refinement can be used in the subdomains. The mortar coupling algorithm yields a saddle point problem that is solved using a preconditioned inexact Uzawa algorithm. The iterative solver enables the use of the fast multipole BEM and thus coupled simulations on large boundary element models. (c) 2006 WILEYNCH Verlag GmbH & Co. KGaA, Weinheim.
机译:为了模拟声结构相互作用问题,必须求解耦合场方程。通常使用有限元离散化结构,而对于声场,边界元方法(BEM)是有利的。开发了迫击炮BEM-FEM耦合算法,该算法允许组合不合格的网格。离散化选择的高度灵活性提供了高效率,因为可以在子域中使用专门的形状函数和自适应网格细化。迫击炮耦合算法产生了一个鞍点问题,该问题可以使用预处理的不精确Uzawa算法解决。迭代求解器可以使用快速多极BEM,因此可以在大型边界元模型上进行耦合仿真。 (c)2006威恩海姆威利安出版社有限公司。

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