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A partitioned solver for compressible/incompressible fluid flow and light structure
Computers & Mathematics with Applications ( IF 2.9 ) Pub Date : 2021-09-27 , DOI: 10.1016/j.camwa.2021.09.005
Deepak Garg 1 , Paolo Papale 1 , Antonella Longo 1
Affiliation  

In this work, a partitioned fluid-structure interaction solver is presented. Fluid flow problem is solved with time-discontinuous deforming domain stabilized space-time finite element method. Flow is computed with pressure primitive variables which permit to use the same numerical technique for both compressible and incompressible regimes. Elastic deformation of the structure is modelled in the Lagrangian frame of reference with Saint-Venant Kirchhoff and Neo-Hookean material models - both are non-linear and valid for large deformations. Structure equations are discretized with Galerkin finite element method for space and with generalized-alpha method for the time. Mesh motion is modelled with the elastic deformation method. An implicit algorithm is presented to couple the different solvers. The details are provided on the implementation of the solvers in parallel software. The numerical code is verified and validated on several compressible and incompressible flow benchmarks widely used in the literature. The results demonstrate that the developed solver successfully detects the accurate interaction between fluid and structure.



中文翻译:

可压缩/不可压缩流体流动和轻结构的分区求解器

在这项工作中,提出了一个分区的流固耦合求解器。流体流动问题采用时间不连续变形域稳定时空有限元方法求解。流量是使用压力原始变量计算的,这些变量允许对可压缩和不可压缩状态使用相同的数值技术。结构的弹性变形是在拉格朗日参考系中使用 Saint-Venant Kirchhoff 和 Neo-Hookean 材料模型建模的 - 两者都是非线性的并且适用于大变形。结构方程在空间上用伽辽金有限元法离散,时间用广义α法离散。网格运动使用弹性变形方法建模。提出了一种隐式算法来耦合不同的求解器。提供了有关并行软件中求解器实现的详细信息。数值代码在文献中广泛使用的几个可压缩和不可压缩流动基准上得到验证和验证。结果表明,开发的求解器成功地检测到流体和结构之间的准确相互作用。

更新日期:2021-09-28
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