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Added Mass Partitioned Fluid-Structure Interaction Solver Based on a Robin Boundary Condition for Pressure

机译:基于Robin边界条件的压力增加了质量分配的流体结构交互求解器

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This paper describes a self-contained, partitioned fluid-structure interaction solver based on a finite volume discretisation. The incompressible fluid flow is described by the Navier-Stokes equations in the arbitrary Lagrangian-Eulerian form and the solid deformation is described by the St. Venant-Kirchhoff hyperelastic model in the total Lagrangian form. Both fluid and solid are discretised in space using the second-order accurate cell-centred finite volume method, and temporal discretisation is performed using the first-order accurate implicit Euler scheme. Coupling between fluid and solid is performed using a Robin-Neumann partitioned procedure based on a new Robin boundary condition for pressure. The solver has been tested on the wave propagation in an elastic tube test case characterised by a low solid-to-fluid density ratio. The first-order temporal accuracy is shown and the stability of the method is demonstrated for both the strongly coupled and loosely coupled versions of the solution procedure. It is also shown that the proposed methodology can efficiently handle FSI cases in which the fluid domain is entirely enclosed by Dirichlet boundary conditions, even for the case of geometrically nonlinear elastic deformation.
机译:本文介绍了一种基于有限体积离散的自包含的分隔的流体结构相互作用求解器。不可压缩的流体流动由Quall-Stokes方程在任意拉格朗日 - 欧拉形式中描述,并且在总拉格朗日形式中,ST.Venant-Kirchhoff超弹性模型描述了固体变形。使用二阶精确的细胞中心有限体积方法,在空间中离散地在空间中离散,并且使用一阶精确的隐式欧拉方案进行时间自分离心。流体和固体之间的耦合使用基于新的Robin边界条件的Robin-Neumann分区程序进行压力。求解器已经在弹性管测试壳体中进行了测试,其特征在于通过低固态密度比。示出了一阶时间精度,并对解决方案程序的强耦合和松散耦合的版本进行了对该方法的稳定性。还示出了所提出的方法可以有效地处理FSI案例,其中流体域完全由Dirichlet边界条件包围,即使对于几何非线性弹性变形的情况。

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