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<p>The weakly compressible smooth particle hydrodynamics (WCSPH) model is studied to address the boundary pressure instability of the SPH method, resulting in the development of the SPH method with improved dynamic boundary conditions. This method employs the ‘fan’ search method for free surface detection, effectively identifying cavity interface particles with diameters smaller than the support domain’s radius, thereby indirectly enhancing the algorithm’s accuracy. On this basis, an improved dynamic boundary condition is proposed by updating the boundary particle pressure calculation scheme to achieve a more stable and continuous pressure field, thereby effectively preventing particles from penetrating the boundary. The SPH method with improved dynamic boundary conditions is used to simulate typical high-speed impact problems such as wedge entry and dam break. The simulation results are in good agreement with the experimental data and other numerical results.</p>

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Study of the Boundary Pressure Instability of the SPH Method Based on Fan-Free Surface Detection

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • Jie Zhao,
  • Xiong-bo Zheng,
  • Tong-yao Mu,
  • Yue-yue Leng,
  • Hao-yu Zhao

摘要

The weakly compressible smooth particle hydrodynamics (WCSPH) model is studied to address the boundary pressure instability of the SPH method, resulting in the development of the SPH method with improved dynamic boundary conditions. This method employs the ‘fan’ search method for free surface detection, effectively identifying cavity interface particles with diameters smaller than the support domain’s radius, thereby indirectly enhancing the algorithm’s accuracy. On this basis, an improved dynamic boundary condition is proposed by updating the boundary particle pressure calculation scheme to achieve a more stable and continuous pressure field, thereby effectively preventing particles from penetrating the boundary. The SPH method with improved dynamic boundary conditions is used to simulate typical high-speed impact problems such as wedge entry and dam break. The simulation results are in good agreement with the experimental data and other numerical results.