The direct numerical simulation of particle flows is investigated by a Lagrangian VOF approach and penalty methods of second order convergence in space for incompressible flows interacting with resolved particles on a fixed structured grid. A specific Eulerian volume of fluid method is developed with a Lagrangian tracking of the phase function while the solid and divergence free constraints are...

Additional to a behavior switching between solid-like and liquid-like, dense granular flows also present propagating grain size-dependent effects called non-local effects. Such behaviors cannot be efficiently modeled by standard rheologies such as µ( I )-rheology but have dealt with advanced models. Unfortunately, these models are still new used easily nor for various configurations. We propose...

The volume-of-fluid (VOF) method is one of the most widely used formulations to simulate interfacial and free-surface flows (Scardovelli & Zaleski 1999). In this method, the interface evolution is implicitly tracked using a discrete function, F , whose value represents the volume fraction of the tagged fluid within a cell of the computational mesh. F is a discretized version of the fluid marker...

Spur dike is a common hydraulic structure, which is widely used in hydraulic engineering such as channel regulation, flood prevention and river diversion for preserving the desired water depth, deflecting the main current and protecting river banks. In actual operations, spur dikes exert influence on river system usually in the form of groups, and the flow field around spur dike group is compli...