PARTICLES 2025

A Particle-Cell Hybrid (PCH) Method for Modelling Granular Flow Problems

  • Rabinezhad, Mohammadreza (University of Liverpool)
  • Zhang, Yujia (University of Liverpool)
  • Zhang, Xue (University of Liverpool)

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Granular flow is a crucial phenomenon in various engineering fields; however, its numerical modelling presents significant challenges. One major difficulty arises from the large geometric changes that occur in events such as silo discharging, landslides and debris flow, which the traditional finite element method struggles to cope with, despite its widespread use in engineering applications. The Particle Finite Element Method (PFEM) [1, 2] and its variants, such as the Smoothed PFEM (SPFEM), have shown promise in modelling problems involving free-surface evolution and large deformations. Nevertheless, issues related to mass conservation can lead to numerical inaccuracies within PFEM and SPFEM frameworks. To address this limitation, we propose a Particle-Cell Hybrid (PCH) approach that integrates the material point concept into SPFEM, ensuring mass conservation while retaining the original method’s advantages. This technique tracks mass at the particle level throughout the computations, providing a straightforward yet effective solution. A series of benchmark tests demonstrate that the proposed method enhances robustness. REFERENCES [1] M. Cremonesi, A. Franci, S. Idelsohn, and E. Oñate, A state of the art review of the particle finite element method (PFEM). Archives of Computational Methods in Engineering, 27(5): p. 1709-1735, (2020). [2] Y. Zhang, X. Zhang, H. Nguyen, X. Li, and L. Wang, An implicit 3D nodal integration based PFEM (N-PFEM) of natural temporal stability for dynamic analysis of granular flow and landslide problems. Computers and Geotechnics, 159: p. 105434, (2023).