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A novel smoothed particle hydrodynamics and finite element coupling scheme for fluid-structure interaction: the sliding boundary particle approach
arXiv - CS - Computational Engineering, Finance, and Science Pub Date : 2020-10-19 , DOI: arxiv-2010.09526 Sebastian L. Fuchs, Christoph Meier, Wolfgang A. Wall, Christian J. Cyron
arXiv - CS - Computational Engineering, Finance, and Science Pub Date : 2020-10-19 , DOI: arxiv-2010.09526 Sebastian L. Fuchs, Christoph Meier, Wolfgang A. Wall, Christian J. Cyron
A novel numerical formulation for solving fluid-structure interaction (FSI)
problems is proposed where the fluid field is spatially discretized using
smoothed particle hydrodynamics (SPH) and the structural field using the finite
element method (FEM). As compared to fully mesh- or grid-based FSI frameworks,
due to the Lagrangian nature of SPH this framework can be easily extended to
account for more complex fluids consisting of multiple phases and dynamic phase
transitions. Moreover, this approach facilitates the handling of large
deformations of the fluid domain respectively the fluid-structure interface
without additional methodological and computational efforts. In particular, to
achieve an accurate representation of interaction forces between fluid
particles and structural elements also for strongly curved interface
geometries, the novel sliding boundary particle approach is proposed to ensure
full support of SPH particles close to the interface. The coupling of the fluid
and the structural field is based on a Dirichlet-Neumann partitioned approach,
where the fluid field is the Dirichlet partition with prescribed interface
displacements and the structural field is the Neumann partition subject to
interface forces. To overcome instabilities inherent to weakly coupled schemes
an iterative fixed-point coupling scheme is employed. Several numerical
examples in form of well-known benchmark tests are considered to validate the
accuracy, stability, and robustness of the proposed formulation. Finally, the
filling process of a highly flexible thin-walled balloon-like container is
studied, representing a model problem close to potential application scenarios
of the proposed scheme in the field of biomechanics.
中文翻译:
一种用于流体-结构相互作用的新型平滑粒子流体动力学和有限元耦合方案:滑动边界粒子方法
提出了一种用于解决流固耦合 (FSI) 问题的新型数值公式,其中使用平滑粒子流体动力学 (SPH) 对流体场进行空间离散,使用有限元方法 (FEM) 对结构场进行空间离散。与完全基于网格或基于网格的 FSI 框架相比,由于 SPH 的拉格朗日性质,该框架可以轻松扩展以解决由多相和动态相变组成的更复杂的流体。此外,这种方法有助于处理流体域和流固界面的大变形,而无需额外的方法和计算工作。特别是,为了准确表示流体粒子和结构元素之间的相互作用力,也适用于强烈弯曲的界面几何形状,提出了新颖的滑动边界粒子方法,以确保完全支持靠近界面的 SPH 粒子。流体和结构场的耦合基于 Dirichlet-Neumann 分区方法,其中流体场是具有指定界面位移的 Dirichlet 分区,结构场是受界面力作用的 Neumann 分区。为了克服弱耦合方案固有的不稳定性,采用了迭代定点耦合方案。几个众所周知的基准测试形式的数值例子被认为是为了验证所提出的公式的准确性、稳定性和鲁棒性。最后,研究了高柔性薄壁气球状容器的灌装过程,
更新日期:2020-10-20
中文翻译:
一种用于流体-结构相互作用的新型平滑粒子流体动力学和有限元耦合方案:滑动边界粒子方法
提出了一种用于解决流固耦合 (FSI) 问题的新型数值公式,其中使用平滑粒子流体动力学 (SPH) 对流体场进行空间离散,使用有限元方法 (FEM) 对结构场进行空间离散。与完全基于网格或基于网格的 FSI 框架相比,由于 SPH 的拉格朗日性质,该框架可以轻松扩展以解决由多相和动态相变组成的更复杂的流体。此外,这种方法有助于处理流体域和流固界面的大变形,而无需额外的方法和计算工作。特别是,为了准确表示流体粒子和结构元素之间的相互作用力,也适用于强烈弯曲的界面几何形状,提出了新颖的滑动边界粒子方法,以确保完全支持靠近界面的 SPH 粒子。流体和结构场的耦合基于 Dirichlet-Neumann 分区方法,其中流体场是具有指定界面位移的 Dirichlet 分区,结构场是受界面力作用的 Neumann 分区。为了克服弱耦合方案固有的不稳定性,采用了迭代定点耦合方案。几个众所周知的基准测试形式的数值例子被认为是为了验证所提出的公式的准确性、稳定性和鲁棒性。最后,研究了高柔性薄壁气球状容器的灌装过程,