论文标题
流体结构与$ h（\ text {div}）$ - 合格有限元素的互动
Fluid-structure interaction with $H(\text{div})$-conforming finite elements
论文作者
论文摘要
在本文中，提出了（高阶）$ h（\ text {div}）$的新颖应用 - 呈现了整体液结构相互作用（FSI）的混合不连续的galerkin有限元方法。任意的拉格朗日欧拉（ALE）描述是以$ h（\ text {div}）$的形式得出的 - 符合有限的元素，包括Piola变换，产生了确切的差异无差的流体速度解决方案。通过Turek和Hron提出的基准问题[50]证明了出现的方法。通过HP进行策略，奇异性和边界层被克服，导致最佳空间收敛速率。
In this paper a novel application of the (high-order) $H(\text{div})$-conforming Hybrid Discontinuous Galerkin finite element method for monolithic fluid-structure interaction (FSI) is presented. The Arbitrary Lagrangian Eulerian (ALE) description is derived for $H(\text{div})$-conforming finite elements including the Piola transformation, yielding exact divergence free fluid velocity solutions. The arising method is demonstrated by means of the benchmark problems proposed by Turek and Hron [50]. With hp-refinement strategies singularities and boundary layers are overcome leading to optimal spatial convergence rates.
