Continuum modeling of rate-dependent granular flows in SPH

doi:10.1007/s40571-016-0132-5

Title: Continuum modeling of rate-dependent granular flows in SPH

Full Record
Other Related Research

Abstract

In this paper, we discuss a constitutive law for modeling rate-dependent granular flows that has been implemented in smoothed particle hydrodynamics (SPH). We model granular materials using a viscoplastic constitutive law that produces a Drucker–Prager-like yield condition in the limit of vanishing flow. A friction law for non-steady flows, incorporating rate-dependence and dilation, is derived and implemented within the constitutive law. We compare our SPH simulations with experimental data, demonstrating that they can capture both steady and non-steady dynamic flow behavior, notably including transient column collapse profiles. In conclusion, this technique may therefore be attractive for modeling the time-dependent evolution of natural and industrial flows.

Authors:

Hurley, Ryan C. ^[1]; Andrade, José E. ^[2]

California Inst. of Technology (CalTech), Pasadena, CA (United States). Division of Engineering and Applied Sciences
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Publication Date:: 2016-09-13

Research Org.:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1406446

Report Number(s):: LLNL-JRNL-692800
Journal ID: ISSN 2196-4378

Grant/Contract Number:: AC52-07NA27344

Resource Type:: Accepted Manuscript

Journal Name:: Computational Particle Mechanics

Additional Journal Information:: Journal Volume: 4; Journal Issue: 1; Journal ID: ISSN 2196-4378

Country of Publication:: United States

Language:: English

Subject:: 42 ENGINEERING; 58 GEOSCIENCES

Citation Formats


                    Hurley, Ryan C., and Andrade, José E. Continuum modeling of rate-dependent granular flows in SPH.  United States: N. p., 2016. 
        Web.  doi:10.1007/s40571-016-0132-5.

Copy to clipboard


                    Hurley, Ryan C., & Andrade, José E. Continuum modeling of rate-dependent granular flows in SPH.  United States.  doi:10.1007/s40571-016-0132-5.

Copy to clipboard


                    Hurley, Ryan C., and Andrade, José E. Tue .  
        "Continuum modeling of rate-dependent granular flows in SPH".  United States.  doi:10.1007/s40571-016-0132-5.  https://www.osti.gov/servlets/purl/1406446.

Copy to clipboard


                    
@article{osti_1406446,

  title        = {Continuum modeling of rate-dependent granular flows in SPH},

  author       = {Hurley, Ryan C. and Andrade, José E.},

  abstractNote = {In this paper, we discuss a constitutive law for modeling rate-dependent granular flows that has been implemented in smoothed particle hydrodynamics (SPH). We model granular materials using a viscoplastic constitutive law that produces a Drucker–Prager-like yield condition in the limit of vanishing flow. A friction law for non-steady flows, incorporating rate-dependence and dilation, is derived and implemented within the constitutive law. We compare our SPH simulations with experimental data, demonstrating that they can capture both steady and non-steady dynamic flow behavior, notably including transient column collapse profiles. In conclusion, this technique may therefore be attractive for modeling the time-dependent evolution of natural and industrial flows.},

  doi          = {10.1007/s40571-016-0132-5},

  journal      = {Computational Particle Mechanics},

  number       = 1,

  volume       = 4,

  place        = {United States},

  year         = {2016},

  month        = {9}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

DOI: 10.1007/s40571-016-0132-5

Other availability

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Similar Records in DOE PAGES and OSTI.GOV collections:

Continuum Microkinetic Rate Theory of Lattice Systems: Formalization, Current Limitations, and a Possible Basis for Continuum Rate Theory

Journal Article Francis, Michael Frederick - Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory

A broad class of reaction networks are controlled not by any thermodynamic ensemble but by rates and are referred to as “kinetically constrained”. Here in this paper, microkinetic rate theory is extended into a model of arbitrarily complex reaction networks. This microkinetic rate theory takes a form where the constraints imposed by kinetically constrained systems apply naturally. This model is compared to numerically complete results and is shown to be quantitatively predictive. Model deviations are shown to emerge for systems with incomplete mixing. Finally, this model is analytical and may serve as a basis for device and continuum scale ratemore » modeling.« less
Cited by 1
DOI: 10.1021/acs.jpca.8b06238

Full Text Available
An algorithm for continuum modeling of rocks with multiple embedded nonlinearly-compliant joints [Continuum modeling of elasto-plastic media with multiple embedded nonlinearly-compliant joints]

Journal Article Hurley, R. C. ; Vorobiev, O. Y. ; Ezzedine, S. M. - Computational Mechanics

Here, we present a numerical method for modeling the mechanical effects of nonlinearly-compliant joints in elasto-plastic media. The method uses a series of strain-rate and stress update algorithms to determine joint closure, slip, and solid stress within computational cells containing multiple “embedded” joints. This work facilitates efficient modeling of nonlinear wave propagation in large spatial domains containing a large number of joints that affect bulk mechanical properties. We implement the method within the massively parallel Lagrangian code GEODYN-L and provide verification and examples. We highlight the ability of our algorithms to capture joint interactions and multiple weakness planes within individualmore »« less
Cited by 4
DOI: 10.1007/s00466-017-1403-6

Full Text Available
Shear dispersion in dense granular flows

Journal Article Christov, Ivan C. ; Stone, Howard A. - Granular Matter

We formulate and solve a model problem of dispersion of dense granular materials in rapid shear flow down an incline. The effective dispersivity of the depth-averaged concentration of the dispersing powder is shown to vary as the Péclet number squared, as in classical Taylor–Aris dispersion of molecular solutes. An extension to generic shear profiles is presented, and possible applications to industrial and geological granular flows are noted.
Cited by 6
DOI: 10.1007/s10035-014-0498-0

Full Text Available
Modified kinetic theory applied to the shear flows of granular materials

Journal Article Duan, Yifei ; Feng, Zhi -Gang ; Michaelides, Efstathios E. ; ... - Physics of Fluids

Here, granular materials are characterized by large collections of discrete particles, where the particle-particle interactions are significantly more important than the particle-fluid interactions. The current kinetic theory captures fairly accurately the granular flow behavior in the dilute case, when only binary interactions are significant, but is not accurate at all in the dense flow regime, where multi-particle interactions and contacts must be modeled. To improve the kinetic theory results for granular flows in the dense flow regime, we propose a Modified Kinetic Theory (MKT) model that utilizes the contact duration or cut-off time to account for the complex particle-particle interactionsmore »« less
Cited by 1
DOI: 10.1063/1.4979632

Full Text Available
A collision model for grain-resolving simulations of flows over dense, mobile, polydisperse granular sediment beds

Journal Article Biegert, Edward ; Vowinckel, Bernhard ; Meiburg, Eckart - Journal of Computational Physics

We present a collision model for phase-resolved Direct Numerical Simulations of sediment transport that couple the fluid and particles by the Immersed Boundary Method. Typically, a contact model for these types of simulations comprises a lubrication force for particles in close proximity to another solid object, a normal contact force to prevent particles from overlapping, and a tangential contact force to account for friction. Our model extends the work of previous authors to improve upon the time integration scheme to obtain consistent results for particle-wall collisions. Furthermore, we account for polydisperse spherical particles and introduce new criteria to account formore »« less
Cited by 2
DOI: 10.1016/j.jcp.2017.03.035

Full Text Available

Similar Records