Granular flows are ubiquitous in natural phenomena and are also used in various industrial applications. Nonetheless, they exhibit counter-intuitive behaviour as well as complex rheological behaviour, making them challenging to fully understand and model. In this talk we report on results from a typical benchmark problem, namely the collapse of laboratory-scale columns of sand, submerged in water, under their own weight. Our numerical model is based on the two-phase thermomecanical theory for fluid-solid mixtures1. Both phases are treated as a continuum, which leads to a two- velocity two-pressure system of governing equations. This model incorporates a non- linear representation of the granular rheology and an evolution equation for the volume fraction of the granular phase. The model is deemed capable of capturing distinctive features of the collapse, such as contraction and dilation. Further, the algorithm is based on a predictor-corrector time-integration scheme and employs a generalized projection method for the computation of the phasial pressures. In the first part of this talk, we briefly introduce the mathematical model. Emphasis is placed on the expression of the non-Newtonian stress tensor and on the expression of the viscosity of the solid phase. In the second part, we present results from our parametric study with respect to the grain size and the viscosity of the fluid. In particular, we investigate the influence of these two parameters on the shape of the final deposit, the final height of the column and the runout distance. Finally, we also elaborate on the amount of sand transported away from the initial column
Riffard, A., & Papalexandris, M. (2022). Influence of the grain size and the fluid viscosity on the collapse of submerged sand columns. 14th European Fluid Mechanics Conference, Athens, Greece. https://hdl.handle.net/2078.5/102608