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中文核心期刊

流体与大变形弹性结构物相互作用MPS-BPM耦合模型研究

Study on the MPS-BPM coupling model for interaction between fluid and elastic structures with large deformation

  • 摘要: 针对流体与大变形弹性结构物相互作用中流-固界面复杂、大自由液面变形和强非线性运动的特点,采用改进的移动粒子半隐式法(MPS)模拟不可压缩流体运动,引入改进的粘结粒子模型(BPM)计算弹性结构体的变形运动,构建了一种新的基于纯拉格朗日法的MPS-BPM无网格粒子法流-固耦合数值模型。该模型基于压强梯度力量化弹性结构物粒子所受到的周围流体作用;通过建立流体粒子和弹性结构物粒子的压力泊松方程,对流体域和结构域进行统一的数值离散求解,实现弹性结构体对周围流体的反馈作用;利用背景网格法削弱流-固交界面处的数值压力振荡与自由液面的数值波动,增强模型的计算精度和稳定性。首先,通过对弹性悬臂梁在初始瞬时速度条件下的运动模拟,验证改进的BPM法对模拟弹性体大变形运动问题的可靠性。然后,通过对弹性闸门溃坝水流运动与闸门变形、溃坝水流对弹性结构物冲击作用的模拟,分析MPS-BPM流-固耦合模型在模拟复杂的流-固相互作用问题中的适用性。计算结果表明:基于MPS-BPM耦合模型得到的流体速度场和压强场变化合理、弹性结构体内部应力分布平滑、流-固交界面处未出现非物理间隙,该耦合模型能够很好地再现流-固相互作用的运动过程。

     

    Abstract: The interaction between fluid and deformable elastic structures encountered in practical engineering is characterized by complicated interfaces between fluid and structure, large free surface deformations, and strong nonlinearities. The improved moving particle semi-implicit method (MPS) is used to simulate the motion of incompressible fluids, and the enhanced bonded particle model (BPM) is introduced to calculate the deformation motion of elastic structures. A new MPS-BPM meshless particle method fluid-structure coupling numerical model based on the pure Lagrangian method is constructed. The model uses pressure gradient forces to quantify the effects of the surrounding fluid on elastic structural particles. By establishing the pressure Poisson's equation for fluid particles and elastic structural particles, a unified numerical discretization solution is performed on the fluid domain and the structural domain to reproduce the feedback effect of the elastic structure on the surrounding fluid. The background grid method is introduced to mitigate numerical pressure oscillations at the fluid-structure interface and the numerical fluctuations of the free liquid surface, thereby enhancing the calculation accuracy and stability of the numerical model. Firstly, the enhanced BPM method is applied to reproduce the response of an elastic cantilever beam to the action of initial instantaneous velocity to verify its accuracy in solving elastic structure deformation problems. After that, the applicability of the MPS-BPM fluid-structure coupling model in simulating complex fluid-structure interaction problems is analyzed by simulating the interaction between dam break flow with elastic gates and the impact of dam break water flow on elastic structures. The calculation results show that the fluid velocity field and pressure field obtained based on the MPS-BPM coupling model change reasonably, the stress distribution inside the elastic structure is smooth, and there is no non-physical gap at the fluid-structure interface. The coupling model can reproduce the motion process of fluid-structure interaction.

     

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