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

Document Type : Research Article

Authors

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

Abstract

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.

Keywords

References

ﻓﺮزﯾﻦ، س.؛ حسن زاده، ی.؛ اعلمی، م. ت. و فاتحی، ر. (1393). "توسعه دو روش SPH تراکم ناپذیر به منظور شبیه‌سازی جریان‌های سطح آزاد حاوی رسوب"، مجله مهندسی مکانیک مدرس، 14(12): 103-91.
مقصودی، م.ص. و شفیعی‌فر، م. (1394). "مدل‌سازی شکست سد با بستر فرسایش‌پذیر با استفاده از روش SPH"، نشریه هیدرولیک ایران، 3(10): 52-41.
Chauchat, J. and Médale, M. (2014). “A three-dimensional numerical model for dense granular flows based on the μ(I) rheology”. J. Comput. Phys. 256, pp. 696–712.
Da Cruz, F. Emam, S. Prochnow, M. Roux, J. and Chevoir, F. (2005). “Rheophysics of dense granular materials: discrete simulation of plane shear flows”, Phys. Rev. E 72 (2) 021309.
Dalrymple, R.A. and Rogers, B.D. (2006). “Numerical modeling of water waves with the SPH method“, Coastal Eng. 53(2-3), pp. 141-147.
Fourtakas, G. and Rogres, B. D. (2016). “Modelling multi-phase liquid-sediment scour and resuspension induced by rapid flows using Smoothed Particle Dynamics (SPH) accelerated with a Graphic Processing Unit (GPU)”. Adv. Water Resour. 92, pp. 186-199.
Fu, L. and Jin, Y.C. (2016). “Improved multiphase Lagrangian method for simulating sediment transport in Dam-Break flows”. ASCE, J. Hydraul. Eng. 142(10): 04016005.
Ghadampour, Z. Talebbeydokhti, N. Hashemi, M.R. Nikseresht, A. H. and Neill, S. P. (2013). “Numerical simulation of free surface mudflow using incompressible SPH”. IJST, Trans. Civil Eng. Vol. 37, No. C1, 99, pp. 77-95.
Gomez-Gesteira, M. Crespo, A.J.C. Rogers, B.D. Dalrymple, R.A. Dominguez, J.M. and Barreiro, A. (2012). “Sphysics-development of a free-surface fluid solver-part 1: Theory and formulations”. Computers and Geosciences, V. 48, pp. 289-299.
Jop, P. Forterre, Y. and Pouliquen, O. (2005). “Crucial role of sidewalls in granular surface flows: consequences for the rheology”. J. Fluid Mech. 541, pp. 167–192.
Khanpour, M. Zarrati, A.R. Kolahdoozan, M. Shakibaeinia, A. and Amirshahi, S.M. (2016). “Mesh-free SPH modeling of sediment scouring and flushing”. J. Computer and Fluids. 129, pp. 67-78.
Lajeunesse, E. Monnier, J. and Homsy, G. (2005). “Granular slumping on a horizontal surface”. Phys. Fluids, 17(10), pp. 1-15.
Liu, M.B., Liu, G.R. (2010). “Smoothed particle hydrodynamics (SPH): an overview and recent developments”. Arch Comput Methods Eng. 17:25–76.
Lucy, L.B. (1977). “A numerical approach to testing the fission hypothesis”, The Astron. J., 82(12), pp.1013-1024.
Monaghan, J.J. (1994). “Simulating free surface
flows with SPH”. J. Comput. Phys., 110, pp. 399-406.
Monaghan, JJ. Kos, A. (1999). “Solitary waves on Cretan beach”, J. Waterway Port Coast Ocean Eng. 125:145–154.
Razavitoosi, S.L. Ayyoubzadeh, S.A. and Valizadeh, A. (2014). “Two-phase SPH modelling of waves caused by dam break over a movable bed”, Int. J., Sediment Research. 29(3), pp. 344-356.
Szewc, K. (2017). “Smoothed particle hydrodynamics modeling of granular column collapse”. Granular Matter, 19(1), 3, pp. 1-13.
Shakibaeinia, A. and Jin, Y.C. (2011b). “A mesh-free particle model for simulation of mobile-bed dam break”. Advanced Water Resources, Vol. 34, pp. 794-807.
Xu, T. and Jin, Y.C. (2016). “Modelng free-surface flows of granular flow collapses using a mesh-free method”. J. Powder Technology. 298, pp. 20-34.

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History

  • Receive Date: 24 July 2017
  • Revise Date: 27 October 2017
  • Accept Date: 30 October 2017

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