SIAM Journal on Scientific and Statistical Computing
A continuum method for modeling surface tension
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
Artificial viscosity models for vortex and particle methods
Journal of Computational Physics
Inviscid axisymmetrization of an elliptical vortex
Journal of Computational Physics
Reconstructing volume tracking
Journal of Computational Physics
A one-cell local multigrid method for solving unsteady incompressible multiphase flows
Journal of Computational Physics
Level set methods: an overview and some recent results
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Future Generation Computer Systems - I. High Performance Numerical Methods and Applications. II. Performance Data Mining: Automated Diagnosis, Adaption, and Optimization
Remeshed smoothed particle hydrodynamics for the simulation of viscous and heat conducting flows
Journal of Computational Physics
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
Toward an oscillation-free, mass conservative, Eulerian-Lagrangian transport model
Journal of Computational Physics
Advances in direct numerical simulations of 3D wall-bounded flows by Vortex-in-Cell methods
Journal of Computational Physics
A geometrical area-preserving volume-of-fluid advection method
Journal of Computational Physics
High order one-step monotonicity-preserving schemes for unsteady compressible flow calculations
Journal of Computational Physics
Short note: a convexity preserving scheme for conservative advection transport
Journal of Computational Physics
A hybrid particle-mesh method for viscous, incompressible, multiphase flows
Journal of Computational Physics
Journal of Computational Physics
A Volume-of-Fluid based simulation method for wave impact problems
Journal of Computational Physics
A compressible Navier-Stokes flow solver with scalar transport
Journal of Computational Physics
An improved PLIC-VOF method for tracking thin fluid structures in incompressible two-phase flows
Journal of Computational Physics
Multi-physics treatment in the vicinity of arbitrarily deformable gas-liquid interfaces
Journal of Computational Physics
Journal of Computational Physics
Accurate, non-oscillatory, remeshing schemes for particle methods
Journal of Computational Physics
Hi-index | 31.45 |
The present article proposes a new hybrid Eulerian-Lagrangian numerical method, based on a volume particle meshing of the Eulerian grid, for solving transport equations. The approach, called Volume Of Fluid Sub-Mesh method (VOF-SM), has the advantage of being able to deal with interface tracking as well as advection-diffusion transport equations of scalar quantities. The Eulerian evolutions of a scalar field could be obtained on any orthogonal curvilinear grid thanks to the Lagrangian advection and a redistribution of particles on the Eulerian grid. The Eulerian concentrations result from the projection of the volume and scalar informations handled by the particles. The particle velocities are interpolated from the Eulerian velocity field. The VOF-SM method is validated on several scalar interface tracking and transport problems and is compared to existing schemes within the literature. It is finally coupled to a Navier-Stokes solver and applied to the simulation of two free-surface flows, i.e. the two-dimensional buckling of a viscous jet during the filling of a square mold and the three-dimensional dam-break flow in a tank.