Generalized Hydrodynamics with Viscoplasticity for Channeling in Saturated Sand

Abstract

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Visualization of Cratering in an Underwater Environment

“…Dr. Szymczak treats the saturated sand as a Bingham solid ± that is a material which has elastic properties up to a given stress level and then behaves as a viscous¯uid. A description of this model with preliminary results can be found in reference [3]. Figure 12 shows a two-dimensional series of computer generated pictures as obtained from the modi®ed code.…”

“…These results were obtained using a newly developed model in the code in which the yield stress depends on the pressure. This is a generalization of the Bingham model described in [3] where the yield stress was constant. In this case the problem investigated was the same as the shallow water case depicted in Figure 6.…”

Coupled hydrodynamic-acoustic modeling of sound generated by impacting cylindrical water jets

“…This method has been successfully used to calculate the collision of two liquid cylinders, 31 shallow water plume formation, 32 and explosive cratering in water-covered sand. 33 The generalized hydrodynamic model is based on a system of conservation laws subject to a one-sided density constraint. For convenience, the conservation laws stated above are repeated here.…”