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

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Abstract

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.

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Author notes

  1. These authors contributed equally to this work.

Authors and Affiliations

  1. Beijing Innovation Center for Engineering Science and Advanced Technology (BIC-ESAT), College of Engineering, Peking University, Beijing, 100871, China

    Ting Long, Zhilang Zhang & Moubin Liu

  2. State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, Peking University, Beijing, 100871, China

    Ting Long, Zhilang Zhang & Moubin Liu

  3. Institute of Ocean Research, Peking University, Beijing, 100871, China

    Ting Long, Zhilang Zhang & Moubin Liu

  4. School of Mechanical Engineering, Guangxi University, Guangxi, 530004, China

    Ting Long

Authors
  1. Ting Long
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  2. Zhilang Zhang
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  3. Moubin Liu
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Corresponding author

Correspondence to Moubin Liu.

Additional information

This work was 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) and the Sino-German Mobility Programme (Grant No. M-0210). The authors appreciate the help from Dr. Muhammad Saif Ullah Khalid for smoothing the paper and giving constructive suggestions.

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Long, T., Zhang, Z. & Liu, M. Multi-resolution technique integrated with smoothed particle element method (SPEM) for modeling fluid-structure interaction problems with free surfaces. Sci. China Phys. Mech. Astron. 64, 284711 (2021). https://doi.org/10.1007/s11433-021-1694-8

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