Fluid–structure interaction with NURBS-based coupling
Fluid–structure interaction with NURBS-based coupling
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DOI：
10.1016/j.cma.2018.01.003
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发表时间：
2018-04
影响因子：
7.2
通讯作者：
N. Hosters;Jan Helmig;Atanas Stavrev;M. Behr;S. Elgeti
中科院分区：
文献类型：
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作者：
N. Hosters;Jan Helmig;Atanas Stavrev;M. Behr;S. Elgeti
通过CAD软件进行的工程设计依赖于非均匀有理b样条（NURBS）作为表示和通信几何的手段。因此，一般来说，给定设计的NURBS描述可以被认为是准确的描述。等几何方法的发展使得几何可以用于分析方法，Hughes等人（2005）。等几何分析在结构分析中尤为成功；其中一个原因是二维有限元在该领域的广泛应用。对于流体动力学来说，三维分析通常是必不可少的，等几何方法更复杂，但当然不是不可能以一般方式应用。本文描述了一种用匹配样条描述界面来求解流固耦合问题的方法。在结构方面，样条用于等几何设置。在流体方面，在nurbs增强有限元方法的框架中使用了相同的样条（Sevilla等人（2011）的扩展）。共同样条界面极大地促进了结构与流体溶液的耦合。对两边使用相同的样条表示允许直接传递必要的数量，同时仍然允许对两边进行调整，单独的细化水平。
Engineering design via CAD software relies on Non-Uniform Rational B-Splines (NURBS) as a means for representing and communicating geometry. Therefore, in general, a NURBS description of a given design can be considered the exact description. The development of isogeometric methods has made the geometry available to analysis methods Hughes et al. (2005). Isogeometric analysis has been particularly successful in structural analysis; one reason being the wide-spread use of two-dimensional finite elements in this field. For fluid dynamics, where three-dimensional analysis is usually indispensable, isogeometric methods are more complicated, yet of course not impossible, to apply in a general fashion. This paper describes a method that enables the solution of fluid–structure-interaction with a matching spline description of the interface. On the structural side, the spline is used in an isogeometric setting. On the fluid side, the same spline is used in the framework of a NURBS-enhanced finite element method (extension of Sevilla et al. (2011)). The coupling of the structural and the fluid solution is greatly facilitated by the common spline interface. The use of the identical spline representation for both sides permits a direct transfer of the necessary quantities, all the while still allowing an adjusted, individual refinement level for both sides.