MPS-FEM数值分析带自由面的流固耦合问题

发布时间：2018-06-23 23:55

  本文选题：无网格法 + MPS方法　； 参考：《计算力学学报》2017年03期

【摘要】：随着计算科学的发展,研究人员为探索流固耦合问题的物理机理而提出了众多的数值方法。其中,耦合的移动粒子半隐式方法 MPS(Moving Particle Semi-Implicit method)和有限单元法FEM(Finite Element method)为流固耦合问题的数值仿真工作提供了新的途径。本文所有流场的数值模拟工作均采用课题组自主开发的无网格法求解器MLParticle-SJTU来完成。该求解器在原始的MPS法基础上,对核函数、压力梯度模型、压力泊松方程的求解和自由面判断方式等方面进行了改进。此外,在该求解器框架内,基于FEM法拓展了针对结构场进行求解的功能。首先,对MPS和FEM方法的理论模型及其耦合策略进行了介绍。然后,采用该自研MPS-FEM耦合求解器,数值模拟了溃坝流动对弹性结构的冲击及其相互作用的标准问题。通过将结构变形及自由面波型变化等结果与已发表结果进行对比,验证了该求解器在处理带自由面剧烈变化的粘性流体和柔性变形结构的耦合作用问题上的可行性。
[Abstract]:With the development of computational science, many numerical methods have been proposed to explore the physical mechanism of fluid-solid coupling problems. Among them, the coupled moving particle semi-implicit method (MPs) and finite element method (FEM) provide a new approach for numerical simulation of fluid-solid coupling problems. In this paper, the numerical simulation of all the flow fields is accomplished by MLParticle-SJTU, a meshless solver developed by the research group. Based on the original MPs method, the solver improves the kernel function, the pressure gradient model, the solution of the pressure Poisson equation and the free surface judgment. In addition, in the framework of the solver, the FEM method is used to expand the function of solving the structure field. Firstly, the theoretical model and coupling strategy of MPs and FEM are introduced. Then, the self-developed MPS-FEM coupled solver is used to numerically simulate the impact of dam-break flow on elastic structures and the standard problem of their interaction. By comparing the results of structural deformation and the change of free surface wave pattern with the published results, the feasibility of the proposed solver in dealing with the coupling between viscous fluid with violent changes of free surface and flexible deformed structures is verified.
【作者单位】： 上海交通大学船舶海洋与建筑工程学院海洋工程国家重点实验室高新船舶与深海开发装备协同创新中心;
【基金】：国家自然科学基金(51379125,51490675,11432009,51579145) 长江学者奖励计划(2014099) 上海高校特聘教授(东方学者)岗位跟踪计划(2013022) 上海市优秀学术带头人计划(17XD1402300) 上海市船舶工程重点实验室基金(K2015-11) 工信部数值水池创新专项VIV/VIM项目(2016-23/09)资助项目
【分类号】：O353.4
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本文编号：2059016