Finite element simulation of three-dimensional particulate flows using mixture models

Abstract

In this paper, we discuss the numerical treatment of three-dimensional mixture models for (semi-)dilute and concentrated suspensions of particles in incompressible fluids. The generalized Navier-Stokes system and the continuity equation for the volume fraction of the disperse phase are discretized using an implicit high-resolution finite element scheme, and maximum principles are enforced using algebraic flux correction. To prevent the volume fractions from exceeding the maximum packing limit, a conservative overshoot limiter is applied to the converged convective fluxes at the end of each time step. A numerical study of the proposed approach is performed for 3D particulate flows over a backward-facing step and in a lid-driven cavity.

Fish mouths as engineering structures for vortical cross-step filtration

“…Given the ubiquity of disruptive vortices caused by backward-facing steps in industrial fluid mechanical systems ranging from miniature blood pumps to jet engines and power plant gas turbines, considerable experimental effort focuses on attempts to minimize the extent of the recirculation region and control the separated flow downstream of backward-facing steps 23 24 . Numerical simulation of this complex 3D recirculation continues to be challenging, especially with particulate flows 25 , and the location of the vortices precludes visualization using fiberoptic endoscopy or digital particle image velocimetry in the 3D slots between ribs, making physical modelling a valuable alternative 26 27 . Our cross-step filtration model based on paddlefish and basking shark morphology takes advantage of vortical flow in porous slots to reduce clogging by concentrating particles along the slot margins.…”

Simulation of blood flow in a sudden expansion channel and a coronary artery

“…The boundary conditions are provided in Table 1, for more detail see [53]. For alternative numerical schemes in solving fluid-particle systems, see Gorb et al, (2014) [56],…”

Analysis of flow and sedimentation processes in secondary sedimentation tank

“…Finally, the obtained solution was post-processed to be properly visualized. Common mathematical hydraulic model equations used for CFD modeling include the momentum balances for a non-compressible viscous media and the continuity equation [2],…”