A novel hybrid solid-like fluid-like (SLFL) method for the simulation of dry granular flows--颗粒学报PARTICUOLOGY

Eslamian, A., & Khayat, M. (2017). A novel hybrid solid-like fluid-like (SLFL) method for the simulation of dry granular flows. Particuology, 31, 200-219. https://doi.org/10.1016/j.partic.2016.07.006

A novel hybrid solid-like fluid-like (SLFL) method for the simulation of dry granular flows

A. Eslamian, M. Khayat ^*

Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

10.1016/j.partic.2016.07.006

Volume 31, April 2017, Pages 200-219

Received 26 October 2015, Revised 2 July 2016, Accepted 21 July 2016, Available online 17 January 2017, Version of Record 9 March 2017.

E-mail: mkhayat@srbiau.ac.ir

Highlights

• A hybrid method was proposed to simulate dry granular flow over a wide range of inertial numbers.

• The model combined elastic–perfectly plastic and dense granular flow theories.

• SPH method with novel boundary treatments was used as the framework of the method.

• Ghost particles were removed to improve the conservation of mass.

• Granular cliff collapse and granular flow inside rotary drum were simulated using the method.

Abstract

This paper proposes a novel hybrid method to simulate the dry granular flow of materials over a wide range of inertial numbers that simultaneously covers the quasi-static and dense granular flow regimes. To overcome the lack of incremental objectivity whenever large deformations occur in solid-like regimes and to remove computational singularities in fluid-like regimes close to rest, the elastic–perfectly plastic theory based on the Drucker–Prager yield criterion is combined with the theory of dense granular flows. By implementing some new modifications at the boundaries and removing all ghost particles, smoothed particle hydrodynamics (SPH) is used as the framework for the method. A number of benchmark problems have been solved to show the capabilities of the new modified SPH method. Precise prediction of both location and pressure makes the modifications comparable with the previous works on SPH. Finally, the method is used to solve the classic 2D dry granular cliff collapse problem and to model dry granular material flow inside a rotary drum. The outcomes of the numerical simulation show good agreement with tabletop experiments and published results.

Graphical abstract

Keywords

SPH; smoothed particle hydrodynamics; GR-SPH; Ghost removed SPH; TCFtruncation correction factor; GLP; glued liner particle; HLP; hung liner particles; NDT; non-dimensional time; NDV; non-dimensional velocity

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