In this paper, a new density formulation for free surface simulations using SPH is presented. This approach applicable to surface-tension driven flows with strong topological changes. The corrected each particle by analytically calculating the missing volume of support domain. calculation depends on two parameters: local curvature and distance surface. method was validated compared evolution te...

This work is devoted to numerical modeling and simulation of flows of granular materials, with application to geophysical flows such as avalanches and debris flows. We consider an incompressible viscoplastic fluid, described by a rheology with pressure dependent yield stress, in a two-dimensional setting with a free surface. The regularization method is used to deal with the singularity of the ...

<p style='text-indent:20px;'>We present a survey of recent results on gravity water flows satisfying the three-dimensional wave problem with constant (non-vanishing) vorticity vector. The main focus is to show that flow non-vanishing has two-dimensional character in spite equations. More precisely, does not change one two horizontal directions. Passing rotating frame, and introducing thus...

Free surface flows are pervasive in engineering and biomedical applications. In many interesting cases—particularly when small length scales are involved—surface forces (capillarity) dominate the flow dynamics. In these cases, computing the flow together with the shape of the surfaces requires specialized solution techniques. This article investigates the capabilities of an operator splitting/f...