Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Weighted essentially non-oscillatory schemes
Journal of Computational Physics
Level set methods: an overview and some recent results
Journal of Computational Physics
Incorporation of lubrication effects into the force-coupling method for particulate two-phase flow
Journal of Computational Physics
Rigid fluid: animating the interplay between rigid bodies and fluid
ACM SIGGRAPH 2004 Papers
Proteus: a direct forcing method in the simulations of particulate flows
Journal of Computational Physics
A fast computation technique for the direct numerical simulation of rigid particulate flows
Journal of Computational Physics
An immersed boundary method with direct forcing for the simulation of particulate flows
Journal of Computational Physics
Immersed boundary method for flow around an arbitrarily moving body
Journal of Computational Physics
A fictitious domain method for particulate flows with heat transfer
Journal of Computational Physics
A fictitious domain formulation for flows with rigid particles: A non-Lagrange multiplier version
Journal of Computational Physics
A direct-forcing fictitious domain method for particulate flows
Journal of Computational Physics
Journal of Computational Physics
A Fictitious Domain, parallel numerical method for rigid particulate flows
Journal of Computational Physics
Hi-index | 31.45 |
Low Reynolds number concentrated suspensions do exhibit an intricate physics which can be partly unraveled by the use of numerical simulation. To this end, a Lagrange multiplier-free fictitious domain approach is described in this work. Unlike some methods recently proposed, the present approach is fully Eulerian and therefore does not need any transfer between the Eulerian background grid and some Lagrangian nodes attached to particles. Lubrication forces between particles play an important role in the suspension rheology and have been properly accounted for in the model. A robust and effective lubrication scheme is outlined which consists in transposing the classical approach used in Stokesian Dynamics to our present direct numerical simulation. This lubrication model has also been adapted to account for solid boundaries such as walls. Contact forces between particles are modeled using a classical Discrete Element Method (DEM), a widely used method in granular matter physics. Comprehensive validations are presented on various one-particle, two-particle or three-particle configurations in a linear shear flow as well as some O(10^3) and O(10^4) particle simulations.