Modeling Granular Flow Using μ (I) Rheological Model in SPH Method

Document Type : Research Article


1 Ph.D. Candidate in Water and Hydraulic Structure Engineering, Faculty of Civil Engineering, Semnan University, Semnan, Iran

2 Associate Professor, Faculty of Civil Engineering, Semnan University, Semnan, Iran


Due to the nature of the particle and its separation, modeling granular flow is one of the interesting simulation problems in particle (Lagrangian) methods in computational fluid dynamics. Therefore, many studies have been made for modeling these kind of flows. In these studies, particles are supposed to be continuous and incompressible and their behavior is investigated by using visco-plastic models which result in flow motion equations. One of the popular Langrangian methods is smoothed particle hydrodynamics (SPH). In this paper investigation of granular flow using SPHysics code with equation of state is used for determining pressure. Then by developing and implementing regulated μ (I) rheological model, granular flow was modeled as 2D. This model is derived by utilizing experimental data and physical parameters of motion particles as inertia and friction. Finally for investigation of code operation, model results were compared to experimental data. The results show that smoothed particle hydrodynamics method used in this study has the ability of modeling free surface and determining static particles at inertial granular flow at each time step.


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  • Receive Date: 24 July 2017
  • Revise Date: 27 October 2017
  • Accept Date: 30 October 2017
  • First Publish Date: 21 January 2018