SPH modelling of water waves generated by submarine landslides

Abstract

The present work introduces a numerical representation of the rheological non Newtonian Bingham model by means of the Smoothed Particle Hydrodynamics (SPH) approach. The model is first re-written using the SPH formalism. Then, it is tested using an annular viscometer test case. Finally, the generation of tsunami waves due to underwater landslide is faced, considering the experimental work of Rzadkiewicz et al. (1997). The implemented rheological SPH model is used to simulate the landslide deformation, and its interaction with water, thus simulating also the generation and propagation of surface tsunami waves. RÉSUMÉLe travail présenté ici introduit une représentation numérique du modèle rhéologique non newtonien de Bingham au moyen de l'approche SPH (Smoothed Particle Hydrodynamics). Le modèle est d'abord réécrit en utilisant le formalisme SPH. Puis, il est testé sur un cas de viscomètre annulaire. Finalement, la génération des tsunamis dus à un éboulement sous-marin est mise en oeuvre, en considérant le travail expérimental de Rzadkiewicz et al. (1997). Le modèle rhéologique SPH implémenté est utilisé pour simuler le glissement de terrain, et son interaction avec l'eau, simulant de ce fait également la génération et la propagation du tsunami en surface.

Composite modelling of subaerial landslide–tsunamis in different water body geometries and novel insight into slide and wave kinematics

“…The challenges of tracking the free surface are reduced in the increasingly popular SPH method (e.g. Ataie-Ashtiani and Shobeyri, 2008;Rogers and Dalrymple, 2008;Yim et al, 2008;Capone et al, 2010).…”

Numerical simulation of landslide-generated waves using a soil–water coupling smoothed particle hydrodynamics model

“…For a saturated submerged landslide, like the experiment of submarine landslide mentioned above, a good agreement can be seen between the simulation results of non-Newtonian fluid models and experiments data ( Ataie-Ashtiani and Shobeyri, 2008 ;Rzadkiewicz et al, 1997 ;Capone et al, 2010 ;Mariotti and Heinrich, 1999 ). But for a fast subaerial landslide, like the experiment of Fritz et al, the landslide may behave too softly with the non-Newtonian fluid models compared with the real situations ( Quecedo et al, 2004 ;Cremonesi et al, 2011 ).…”

“…Although many non-Newtonian models could reproduce the deformation of landslides very well ( Ataie-Ashtiani and Shobeyri, 2008 ;Rzadkiewicz et al, 1997 ;Capone et al, 2010 ;Mariotti and Heinrich, 1999 ), two significant characteristics of our coupling model can be seen compared with non-Newtonian fluid models. The first one is about the method for choosing the values of parameters.…”

“…recently. Using rheological theory, a non-Newtonian fluid model was used to describe the deformation and movement of landslides by Quecedo et al (2004) , Cremonesi et al (2011) , Rzadkiewicz et al (1997) , Capone et al (2010) , Ataie-Ashtiani and Shobeyri (2008) , Mariotti and Heinrich (1999) ( Table 2 ), and Manenti et al (2015) . Simple governing equations and fluid-fluid interaction for the coupling process in this model will reduce the simulated difficulties.…”

“…No fixed connection between particles or meshes exists, avoiding the inaccuracy from the distorted mesh when dealing with a large deformation and post failure movement of the landslides ( Huang et al, 2009 ). The SPH method has already been used for simulating waves generated by landslides by simplifying the landslide in to a rigid body ( Shi et al, 2015 ;Vacondio et al, 2013 ) or a nonNewtonian fluid model ( Ataie-Ashtiani and Shobeyri, 2008 ;Capone et al, 2010 ). Because of its Lagrangian and mesh free characteristics, the SPH method avoids the issue of the simplified treatment of materials' interface in the Euler mesh.…”