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.
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