Non-Matching Grids for a Flexible Discretization in Computational Coustics
Non-Matching Grids for a Flexible Discretization in Computational Coustics
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DOI：
10.4208/cicp.141209.280810s
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发表时间：
2012-02-01
影响因子：
3.7
通讯作者：
Wohlmuth, Barbara
中科院分区：
文献类型：
--
作者：
Flemisch, Bernd;Kaltenbacher, Manfred;Wohlmuth, Barbara
研究了耦合波传播问题近似解的灵活离散化技术。特别是，当一个分区域必须用比另一个分区域精细得多的网格来解决时，使用非匹配网格的优点被展示出来。对于机械-声学耦合以及声学-声学耦合系统，我们提出了非匹配网格技术。对于第一种情况，问题的表述与匹配情况基本相同，而对于声声耦合，在迫击炮有限元框架内用拉格朗日乘子对表述进行了增强。应用结果表明，无论是在网格生成的灵活性方面，还是在计算时间上，砂浆有限元方法都优于标准有限元方法。
Flexible discretization techniques for the approximative solution of coupled wave propagation problems are investigated. In particular, the advantages of using non-matching grids are presented, when one subregion has to be resolved by a substantially finer grid than the other subregion. We present the non-matching grid technique for the case of a mechanical-acoustic coupled as well as for acoustic-acoustic coupled systems. For the first case, the problem formulation remains essentially the same as for the matching situation, while for the acoustic-acoustic coupling, the formulation is enhanced with Lagrange multipliers within the framework of Mortar Finite Element Methods. The applications will clearly demonstrate the superiority of the Mortar Finite Element Method over the standard Finite Element Method both concerning the flexibility for the mesh generation as well as the computational time.