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A coupled BEM/FEM formulation for drop interaction in Stokes flows with flexible and slip confining boundaries

机译：耦合的BEM / FEM公式用于斯托克斯流中的液滴相互作用，具有灵活的滑移边界

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In this work, fluid-fluid-solid coupled models are analysed, considering the interaction of boundary and finite element techniques. In this context, the paper focuses on the study of deforming drops through bulk fluids bounded by flexible walls. Here, the fluid subdomains are assumed to be viscous and incompressible, and they are modelled by the BEM. The solid subdomains are assumed to be elastic, and they are modelled by the FEM. Both discontinuity of tractions on the fluid-fluid common boundaries and discontinuity of velocities on the fluid-solid interfaces are considered. For the discontinuity of velocities, a formulation based on nonlinear slip boundary conditions is adopted, which is treated employing a relaxed iterative approach. A Lagrangian representation is considered and remeshing is applied on the fluid-fluid interfaces, reducing the appearance of numerical problems. Numerical results are presented to illustrate the performance and potentialities of the proposed techniques.
机译：在这项工作中，考虑边界和有限元技术的相互作用，分析了流固耦合模型。在这种情况下，本文重点研究通过柔性壁限制的散装流体使液滴变形的研究。在这里，流体子域被认为是粘性的和不可压缩的，并且它们是由BEM建模的。假设实体子域是弹性的，并且它们由FEM建模。既考虑了在流体-流体共同边界上的牵引力的不连续性，又考虑了在流体-固体界面上的速度的不连续性。对于速度的不连续性，采用基于非线性滑移边界条件的公式，并采用松弛迭代方法对其进行处理。考虑了拉格朗日表示法，并在流体界面上应用了网格划分，从而减少了数值问题的出现。数值结果表明了所提出技术的性能和潜力。

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