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首页> 外文会议>International workshop on meshfree methods for partial differential equations >Fluid Structure Interaction (FSI) in the MESHFREE Finite Pointset Method (FPM): Theory and Applications
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Fluid Structure Interaction (FSI) in the MESHFREE Finite Pointset Method (FPM): Theory and Applications

机译：MESHFREE有限点集方法（FPM）中的流体结构相互作用（FSI）：理论与应用

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Fluid Structure Interaction (FSI) and meshfree numerical methods are a perfect couple. One often repeated strong argument is the almost natural coupling of meshfree methods in a Lagrangian/ALE formulation with moving, flexible structures. Since 1996, Fraunhofer ITWM has been developing a Generalized Finite Difference Method (GFDM), a purely meshfree solver for fluid and continuum mechanics. In the industrial context, this method is also referred to as Finite Pointset Method (FPM). Currently, it is further developed to an integrated tool called MESHFREE which combines the advantages of GFDM/FPM as well as SAMG, a fast solver for large sparse linear systems developed by Fraunhofer SCAI. This synergy drastically increases the applicability of the method since SAMG provides a robust and scalable linear solver for a wide class of problems. In this contribution, we classify fundamental FSI aspects in GFDM/FPM: classical pressure-velocity coupling and alternative velocity-pressure coupling. Each category will be illustrated by industrially relevant examples, with special focus on Pelton turbine applications and flow in flexible tubes.
机译：流体结构相互作用（FSI）和无网格数值方法是完美的结合。一个经常重复的有力论据是，拉格朗日/ ALE公式中的无网格方法与活动的，灵活的结构几乎是自然耦合的。自1996年以来，弗劳恩霍夫（Fraunhofer）ITWM一直在开发通用有限差分法（GFDM），这是一种用于流体和连续体力学的纯无网格求解器。在工业环境中，此方法也称为有限点集方法（FPM）。目前，它已被进一步开发为称为MESHFREE的集成工具，该工具结合了GFDM / FPM和SAMG（由Fraunhofer SCAI开发的大型稀疏线性系统的快速求解器）的优点。由于SAMG为各种问题提供了强大且可扩展的线性求解器，因此这种协同作用大大提高了该方法的适用性。在此贡献中，我们对GFDM / FPM中FSI的基本方面进行了分类：经典的压力-速度耦合和替代的速度-压力耦合。每个类别将通过与工业相关的示例进行说明，并特别关注Pelton涡轮机的应用和挠性管中的流量。

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