A SPH elastic-viscoplastic model for granular flows and bed-load transport
| Autor: | Martin Ferrand, Antoine Joly, Agnès Leroy, Damien Violeau, Alex Ghaïtanellis, Kamal El Kadi Abderrezzak |
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| Rok vydání: | 2018 |
| Předmět: |
Laplace's equation
Materials science Viscoplasticity Effective stress 0208 environmental biotechnology Isotropy 02 engineering and technology Mechanics Granular material 01 natural sciences 010305 fluids & plasmas 020801 environmental engineering Physics::Fluid Dynamics Smoothed-particle hydrodynamics Critical resolved shear stress 0103 physical sciences Geotechnical engineering Water Science and Technology Bed load |
| Zdroj: | Advances in Water Resources. 111:156-173 |
| ISSN: | 0309-1708 |
| DOI: | 10.1016/j.advwatres.2017.11.007 |
| Popis: | An elastic-viscoplastic model (Ulrich, 2013) is combined to a multi-phase SPH formulation (Hu and Adams, 2006; Ghaitanellis et al., 2015) to model granular flows and non-cohesive sediment transport. The soil is treated as a continuum exhibiting a viscoplastic behaviour. Thus, below a critical shear stress (i.e. the yield stress), the soil is assumed to behave as an isotropic linear-elastic solid. When the yield stress is exceeded, the soil flows and behaves as a shear-thinning fluid. A liquid-solid transition threshold based on the granular material properties is proposed, so as to make the model free of numerical parameter. The yield stress is obtained from Drucker–Prager criterion that requires an accurate computation of the effective stress in the soil. A novel method is proposed to compute the effective stress in SPH, solving a Laplace equation. The model is applied to a two-dimensional soil collapse (Bui et al., 2008) and a dam break over mobile beds (Spinewine and Zech, 2007). Results are compared with experimental data and a good agreement is obtained. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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