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PFEM-FEM coupling for fluid-structure interaction problems involving free surfaces and large solid deformations

机译:PFEM-FEM耦合解决涉及自由表面和大固体变形的流固耦合问题

摘要

The present work focuses on the solution of fluid-structure interaction problems involving free surfaces and deformable structures. Free-surface flows are often encountered in reality, but the numerical solution of such problems remains a challenge, especially when the flow interacts with some flexible structure.The Particle Finite Element Method (PFEM) is nowadays a well-established Lagrangian method for the study of free-surface flows. The key feature of this method is the continuous remeshing of the computational domain through an efficient Delaunay triangulation, based on which the equations are solved using classical Finite Elements.In this work, the PFEM is coupled to Metafor, an in-house non-linear Finite Element solver, through an original partitioned strategy, based on block Gauss-Seidel iterations with dynamic relaxation. The main advantages of using a partitioned approach are that independent formulations can be employed for the fluid and the solid domains, and that the capabilities of already existing codes can be exploited at their best. In particular, in the problems proposed in this work, the solid structures can undergo very large deformations, and complex material laws, including plasticity for instance, can be easily taken into account.The techniques developed in this work are assessed through many examples, ranging from civil engineering problems, such as a dam break against a deformable obstacle, to aerospace applications, such a bird strike. Results are compared to those available in the literature, whenever possible.
机译:本工作着重于解决涉及自由表面和可变形结构的流固耦合问题。自由表面流在现实中经常遇到,但是这些问题的数值解法仍然是一个挑战,特别是当流与某些柔性结构相互作用时。粒子有限元方法(PFEM)是当今公认的拉格朗日方法自由表面流动。该方法的关键特征是通过有效的Delaunay三角剖分对计算域进行连续重新网格化,在此基础上使用经典的有限元法对方程进行求解。在这项工作中,PFEM与内部非线性的Metafor耦合。有限元求解器通过原始的分区策略,基于具有动态松弛的块高斯-赛德尔迭代。使用分区方法的主要优点是可以对流体域和固体域采用独立的公式,并且可以最大程度地利用现有代码的功能。特别是在这项工作中提出的问题中,实体结构可能会发生很大的变形,并且很容易考虑到复杂的材料定律,例如可塑性。从土木工程问题(如针对可变形障碍物的水坝溃决)到航空航天应用(如鸟击)。尽可能将结果与文献中的结果进行比较。

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