A reduced‐order representation of the Poincaré–Steklov operator: an application to coupled multi‐physics problems
A reduced‐order representation of the Poincaré–Steklov operator: an application to coupled multi‐physics problems
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Poincaré-Steklov 算子的降阶表示：在耦合多物理问题中的应用
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
D. Lombardi
中科院分区：
文献类型：
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作者：
Matteo Aletti;D. Lombardi
这项工作研究了应用于耦合多物理系统的模型简化方法。考虑感兴趣的系统与外部系统交互的情况。当输入是在接口处定义的 Laplace-Beltrami 特征函数时，通过在离线阶段模拟外部问题来计算 Poincaré-Steklov 算子的近似值。在在线阶段，只需要减少操作员的表示即可考虑外部问题对主系统的影响。为了保证精确的降阶计算，提出了在线基础丰富。针对不同的流固耦合提出了几个测试用例。版权所有 © 2016 约翰·威利父子有限公司
This work investigates a model reduction method applied to coupled multi‐physics systems. The case in which a system of interest interacts with an external system is considered. An approximation of the Poincaré–Steklov operator is computed by simulating, in an offline phase, the external problem when the inputs are the Laplace–Beltrami eigenfunctions defined at the interface. In the online phase, only the reduced representation of the operator is needed to account for the influence of the external problem on the main system. An online basis enrichment is proposed in order to guarantee a precise reduced‐order computation. Several test cases are proposed on different fluid–structure couplings. Copyright © 2016 John Wiley & Sons, Ltd.