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

查看全文 作　　者：Ting [1,2,3,4]Long;Zhilang [1,2,3]Zhang;Moubin [1,2,3]Liu 高影响力作者 机构地区：[1]Beijing Innovation Center for Engineering Science and Advanced Technology(BIC-ESAT),College of Engineering,Peking University,Beijing 100871,China;[2]State Key Laboratory for Turbulence and Complex Systems,Department of Mechanics and Engineering Science,Peking University,Beijing 100871,China;[3]Institute of Ocean Research,Peking University,Beijing 100871,China;[4]School of Mechanical Engineering,Guangxi University,Nanning 530004,China高影响力机构 出　　处：《Science China(Physics,Mechanics & Astronomy)》索引2021年第64卷第8期,共22页高影响力期刊 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)。 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 resolution.Moreover, the novel approach is effective in modeling various incompressible flow problems involving FSIs. 关 键 词：smoothed particle element method(SPEM) smoothed finite element method(S-FEM) smoothed particle hydrodynamics(SPH) multi-resolution technique fluid-structure interaction
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