Fast, adaptive summation of point forces in the two-dimensional Poisson equation
Journal of Computational Physics
The design and analysis of spatial data structures
The design and analysis of spatial data structures
A stable and accurate convective modelling procedure based on quadratic upstream interpolation
Computer Methods in Applied Mechanics and Engineering - Special edition on the 20th Anniversary
Journal of Computational Physics
FLAIR: fluz line-segment model for advection and interface reconstruction
Journal of Computational Physics
The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection
Computer Methods in Applied Mechanics and Engineering
An adaptively refined Cartesian mesh solver for the Euler equations
Journal of Computational Physics
Modelling merging and fragmentation in multiphase flows with SURFER
Journal of Computational Physics
Journal of Computational Physics
A method for capturing sharp fluid interfaces on arbitrary meshes
Journal of Computational Physics
Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows
Journal of Computational Physics
Journal of Computational Physics
Transient adaptivity applied to two-phase incompressible flows
Journal of Computational Physics
International Journal of Computational Fluid Dynamics
Adaptive moment-of-fluid method
Journal of Computational Physics
An accurate adaptive solver for surface-tension-driven interfacial flows
Journal of Computational Physics
A PLIC-VOF method suited for adaptive moving grids
Journal of Computational Physics
Hi-index | 31.47 |
In this paper, a computational method for solving fluid flow problems with moving interfaces is presented. Herein, adaptive quadtree grids are used coupled with the CICSAM [O. Ubbink, Numerical prediction of two fluid systems with sharp interfaces, PhD Thesis, Imperial College of Science, Technology and Medicine, London, 1997] free surface capturing volume of fluid (VoF) method and PLIC reconstruction to interpolate the volume fraction field during refinement and derefinement processes. The combination of high resolution adaptive hierarchical remeshing and CICSAM interface advection is shown to overcome the problems of interface smearing and high CPU intensivity inherent in most VoF schemes. The result is a combination of free surface tracking and free surface capturing in that the interface is effectively tracked by the adapting refinements in the quadtree grid. In this way, a sharp interface is achieved and the advantages of both free surface tracking and capturing are combined. The new method is applied to interface advection examples in translating, rotating and shearing flow fields, and the benefits of using adapting quadtree grids demonstrated.