Modelling merging and fragmentation in multiphase flows with SURFER
Journal of Computational Physics
High-resolution conservative algorithms for advection in incompressible flow
SIAM Journal on Numerical Analysis
Journal of Computational Physics
Reconstructing volume tracking
Journal of Computational Physics
Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows
Journal of Computational Physics
A new volume of fluid advection algorithm: the stream scheme
Journal of Computational Physics
Journal of Computational Physics
Analytical relations connecting linear interfaces and volume fractions in rectangular grids
Journal of Computational Physics
Numerical simulation of moving contact line problems using a volume-of-fluid method
Journal of Computational Physics
Journal of Computational Physics
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
Journal of Computational Physics
Wave overtopping over a sea dike
Journal of Computational Physics
Journal of Computational Physics
Efficient implementation of THINC scheme: A simple and practical smoothed VOF algorithm
Journal of Computational Physics
Journal of Computational Physics
A new interface tracking method: The polygonal area mapping method
Journal of Computational Physics
An accurate adaptive solver for surface-tension-driven interfacial flows
Journal of Computational Physics
Localized Parallel Algorithm for Bubble Coalescence in Free Surface Lattice-Boltzmann Method
Euro-Par '09 Proceedings of the 15th International Euro-Par Conference on Parallel Processing
Journal of Computational Physics
Conservative Volume-of-Fluid method for free-surface simulations on Cartesian-grids
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational and Applied Mathematics
Short Note: Revisit to the THINC scheme: A simple algebraic VOF algorithm
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A numerical method for interface reconstruction of triple points within a volume tracking algorithm
Mathematical and Computer Modelling: An International Journal
Journal of Scientific Computing
Towards front-tracking based on conservation in two space dimensions III, tracking interfaces
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.52 |
A new class of algorithms that preserve mass exactly for incompressible flows on a Cartesian mesh are presented. They amount to piecewise-linear, area-preserving mappings of tessellations of the plane. They are equivalent to Volume-of-Fluid (VOF) advection methods which are decomposed into an Eulerian implicit scheme in one direction followed by a Lagrangian explicit step in the other one. It is demonstrated that mass conservation is exact for incompressible flows and that there are no undershoots or overshoots of the volume fraction which thus always remains constrained between 0 and 1.