Multi-resolution technique integrated with smoothed particle element method (SPEM) for modeling fluid-structure interaction problems with free surfaces

作     者：Ting Long Zhilang Zhang Moubin Liu Ting Long;Zhilang Zhang;Moubin Liu

作者机构：Beijing Innovation Center for Engineering Science and Advanced Technology(BIC-ESAT)College of EngineeringPeking UniversityBeijing 100871China State Key Laboratory for Turbulence and Complex SystemsDepartment of Mechanics and Engineering SciencePeking UniversityBeijing 100871China Institute of Ocean ResearchPeking UniversityBeijing 100871China School of Mechanical EngineeringGuangxi UniversityNanning 530004China 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2021年第64卷第8期

页      面：41-62页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Numerical Wind Tunnel Project (Grant No. NNW2019ZT2-B02) the National Natural Science Foundation of China (Grant Nos. 12032002,51779003,and 11902005) the SinoGerman Mobility Programme (Grant No. M-0210) 

主　　题：smoothed particle element method(SPEM) smoothed finite element method(S-FEM) smoothed particle hydrodynamics(SPH) multi-resolution technique fluid-structure interaction 

摘      要：Free-surface flows, especially those associated with fluid-structure interactions(FSIs), pose challenging problems in numerical simulations. The authors of this work recently developed a smoothed particle element method(SPEM) to simulate FSIs. In this method, both the fluid and solid regions are initially modeled using a smoothed finite element method(S-FEM) in a Lagrangian frame, whereas the fluid regions undergoing large deformations are adaptively converted into particles and modeled with an improved smoothed particle hydrodynamics(SPH) method. This approach greatly improves computational accuracy and efficiency because of the advantages of the S-FEM in efficiently treating solid/fluid regions showing small deformations and the SPH method in effectively modeling moving interfaces. In this work, we further enhance the efficiency of the SPEM while effectively capturing local fluid information by introducing a multi-resolution technique to the SPEM and developing an effective approach to treat multi-resolution element-particle interfaces. Various numerical examples demonstrate that the multiresolution SPEM can significantly reduce the computational cost relative to the original version with a constant ***, the novel approach is effective in modeling various incompressible flow problems involving FSIs.