Multiphase smoothed particle hydrodynamics approach for modeling soil–water interactions

Abdelkader Krimi (1) , Sofiane Khelladi (1) , Xesús Nogueira (2) , Michael Deligant (1) , Riadh Ata (3, 4, 5, 6) , Mehdi Rezoug (7)

1 DynFluid - Laboratoire de Dynamique des Fluides
2 UDC - University of A Coruña
3 LMSP - Laboratoire de Mécanique des Systèmes et des Procédés
4 ETS - Ecole de Technologie Supérieure [Montréal]
5 LHSV - Laboratoire d'Hydraulique Saint-Venant / Saint-Venant laboratory for Hydraulics
6 EDF R&D LNHE - Laboratoire National d’Hydraulique et Environnement
7 IRC - Institut de Recherche en Constructibilité

In this work, a weakly compressible smoothed particle hydrodynamics (WCSPH) multiphase model is developed. The model is able to deal with soil-water interactions coupled in a strong and natural form. A Regularized Bingham Plastic constitutive law including a pressure-dependent Mohr-Coulomb yield criterion (RBPMC-αμ) is proposed to model fluids, soils and their interaction. Since the proposed rheology model is pressure-sensitive, we propose a multiphase diffusive term to reduce the spurious pressure resulting from the weakly compressible flow hypothesis. Several numerical benchmarks are investigated to assess the robustness and accuracy of the proposed multiphase SPH model.

Mots clés: Soil-water interactions; Smoothed particle hydrodynamics method; Multiphase fluid flow; Failure criteria; Non-Newtonian fluid

Domaines: Mécanique des fluides [physics.class-ph]

Abdelkader Krimi, Sofiane Khelladi, Xesús Nogueira, Michael Deligant, Riadh Ata, et al.. Multiphase smoothed particle hydrodynamics approach for modeling soil–water interactions. Advances in Water Resources, 2018, 121, pp.189-205. ⟨10.1016/j.advwatres.2018.08.004⟩. ⟨hal-02438193⟩