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A Lagrangian-Lagrangian Framework for the Simulation of Rigid and Deformable Bodies in Fluid

机译:拉格朗日 - 拉格朗日框架,用于模拟刚性和可变形体液中的液体

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We present a Lagrangian-Lagrangian approach for the simulation of fully resolved Fluid Solid/Structure Interaction (FSI) problems. In the proposed approach, the method of Smoothed Particle Hydrodynamics (SPH) is used to simulate the fluid dynamics in a Lagrangian framework. The solid phase is a general multibody dynamics system composed of a collection of interacting rigid and deformable objects. While the motion of arbitrarily shaped rigid objects is approached in a classical 3D rigid body dynamics framework, the Absolute Nodal Coordinate Formulation (ANCF) is used to model the deformable components, thus enabling the investigation of compliant elements that experience large deformations with entangling and self-contact. The dynamics of the two phases, fluid and solid, are coupled with the help of Lagrangian markers, referred to as Boundary Condition Enforcing (BCE) markers which are used to impose no-slip and impenetrability conditions. Such BCE markers are associated both with the solid suspended particles and with any confining boundary walls and are distributed in a narrow layer on and below the surface of solid objects. The ensuing fluid-solid interaction forces are mapped into generalized forces on the rigid and flexible bodies and subsequently used to update the dynamics of the solid objects according to rigid body motion or ANCF method. The robustness and performance of the simulation algorithm is demonstrated through several numerical simulation studies.
机译:我们提出了一种拉格朗日 - 拉格朗日方法,用于模拟完全解决的流体固体/结构相互作用(FSI)问题。在所提出的方法中,使用平滑粒子流体动力学(SPH)的方法来模拟拉格朗日框架中的流体动力学。固相是由相互作用刚性和可变形物体的集合组成的一般多体动力系统。虽然任意形状的刚性物体的运动在经典的3D刚体动态框架中接近,但是绝对节点坐标配方(ANCF)用于模拟可变形的部件,从而使得能够调查与缠结和自旋转体验大变形的柔顺元件-接触。两相,流体和固体的动力学与拉格朗日标记的帮助相结合,称为用于施加无滑移和冒模性条件的边界条件强制性(BCE)标记。这种BCE标记与固体悬浮颗粒和任何限制边界壁相关联,并且在固体物体表面和下方分布在窄层中。随后将随后的液体固体相互作用力映射到刚性和柔性的体上的广义力,并随后根据刚体运动或ANCF方法更新固体物体的动态。通过几个数值模拟研究证明了仿真算法的稳健性和性能。

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