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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >A Nitsche-based cut finite element method for the coupling of incompressible fluid flow with poroelasticity
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A Nitsche-based cut finite element method for the coupling of incompressible fluid flow with poroelasticity

机译：一种基于NITSCHE的切割有限元方法，用于腹弹性的不可压缩流体流动

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摘要

The focus of this contribution is the numerical treatment of interface coupled problems concerning the interaction of incompressible fluid flow and permeable, elastic structures. The main emphasis is on extending the range of applicability of available formulations on especially three aspects. These aspects are the incorporation of a more general poroelasticity formulation, the use of the cut finite element method (CutFEM) to allow for large interface motion and topological changes of the fluid domain, and the application of a novel Nitsche-based approach to incorporate the Beavers-Joseph(-Saffmann) tangential interface condition. This last aspect allows one to extend the practicable range of applicability of the proposed formulation down to very low porosities and permeabilities which is important in several examples in application. Different aspects of the presented formulation are analyzed in a numerical example including spatial convergence, the sensitivity of the solution to the Nitsche penalty parameters, varying porosities and permeabilities, and a varying Beavers-Joseph interface model constant. Finally, a numerical example analyzing the fluid induced bending of a poroelastic beam provides evidence of the general applicability of the presented approach. (C) 2019 Elsevier B.Y. All rights reserved.
机译：该贡献的重点是关于不可压缩流体流动和可渗透的弹性结构的相互作用的界面耦合问题的数值处理。主要重点是在特别是三个方面延长可用配方的适用范围。这些方面是掺入更一般的孔弹性配方，使用切割有限元方法（CUTFEM）来允许流体域的大界面运动和拓扑变化，以及一种新的基于Nitsche的方法来融合Beavers-Joseph（-Saffmann）切向界面状况。最后一个方面允许人们将所提出的配方的可行性范围扩展到非常低的孔隙率和渗透性，这在应用中的几个例子中是重要的。在包括空间收敛的数值示例中分析所呈现的制剂的不同方面，该方法对NITSCHE惩罚参数的敏感性，不同的孔隙率和渗透率，以及不同的海狸-Joseph接口模型常数。最后，分析流体诱导的多孔束弯曲的数值示例提供了呈现的方法的一般适用性的证据。 （c）2019年Elsevier B.Y.版权所有。

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