Reconstructing volume tracking
Journal of Computational Physics
Analytical relations connecting linear interfaces and volume fractions in rectangular grids
Journal of Computational Physics
Numerical Recipes: FORTRAN
A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing
Journal of Computational Physics
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method
Journal of Computational Physics
Geometric Tools for Computer Graphics
Geometric Tools for Computer Graphics
ACM SIGGRAPH Computer Graphics
A volume of fluid method based on multidimensional advection and spline interface reconstruction
Journal of Computational Physics
High-order surface tension VOF-model for 3D bubble flows with high density ratio
Journal of Computational Physics
An improved PLIC-VOF method for tracking thin fluid structures in incompressible two-phase flows
Journal of Computational Physics
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Journal of Computational Physics
Journal of Computational Physics
Short Note: On reducing interface curvature computation errors in the height function technique
Journal of Computational Physics
Short note: A volume of fluid approach for crystal growth simulation
Journal of Computational Physics
A PLIC-VOF method suited for adaptive moving grids
Journal of Computational Physics
A new volume-of-fluid method with a constructed distance function on general structured grids
Journal of Computational Physics
A hybrid level set-volume constraint method for incompressible two-phase flow
Journal of Computational Physics
Hi-index | 31.47 |
It is well known that volume of fluid (VOF) methods in three-dimensions, especially those based on unsplit advection schemes, involve highly complex geometrical operations. The objective of this work is to propose, for general grids and three-dimensional Cartesian geometry, simple and efficient geometrical tools for volume truncation operations that typically arise in VOF methods and an analytical method for local volume enforcement. The results obtained for different tests and grid types show that the proposed analytical method may be as much as three times faster than Brent's iterative method. Advection tests were carried out using hexahedral grids obtained from deformation of a cubic grid to assess the accuracy of the proposed tools in combination with a recently proposed unsplit PLIC-VOF method.