A MONOLITHIC FEM SOLVER FOR AN ALE FORMULATION OF FLUID-STRUCTURE INTERACTION WITH CONFIGURATION FOR NUMERICAL BENCHMARKING
A MONOLITHIC FEM SOLVER FOR AN ALE FORMULATION OF FLUID-STRUCTURE INTERACTION WITH CONFIGURATION FOR NUMERICAL BENCHMARKING
复制标题
用于流固耦合 ALE 公式的整体有限元求解器以及数值基准配置
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
S. Turek
中科院分区：
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作者：
Jaroslav Hron;S. Turek
本文研究了不可压缩粘性流体与弹性固体之间的时变相互作用问题的整体算法。连续制定的问题和它的离散化是在一个整体的方式，把问题作为一个连续。采用Q2/Pdis 1有限元进行离散，并采用耦合多重网格线性求解器的近似牛顿法求解方程。我们讨论了可能的有效策略，建立由此产生的系统及其解决方案。一个2维配置，以测试所开发的方法。它是基于早期成功的DFG基准绕圆柱不可压缩层流流动。类似于这个老的基准，我们认为流动是不可压缩的，并在层流状态。结构可以是可压缩的或不可压缩的，结构的变形是周期性的，并且在位移方面是显著的。这种配置可以用来比较不同的数值方法和代码实现的流体-结构相互作用问题的定性和特别是定量的效率和精度的计算。
We investigate a monolithic algorithm to solve the problem of time dependent interaction between an incompressible viscous fluid and an elastic solid. The continuous formulation of the problem and its discretization is done in a monolithic way, treating the problem as one continuum. The Q2/P dis 1 finite elements are used for the discretization and an approximate Newton method with coupled multigrid linear solver is developed for solving the equations. We discuss possible efficient strategies of setting up the resulting system and its solution. A 2-dimensional configuration is presented to test the developed method. It is based on the older successful DFG benchmark flow around cylinder for incompressible laminar fluid flow. Similar to this older benchmark we consider the flow to be incompressible and in the laminar regime. The structure is allowed to be compressible or incompressible and the deformations of the structure are periodic and significant in terms of displacement. This configuration can be used to compare different numerical methods and code implementations for the fluid-structure interaction problem qualitatively and particularly quantitatively with respect to efficiency and accuracy of the computation.