Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Automatic fairing algorithm for B-spline curves
Computer-Aided Design
A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
A continuum method for modeling surface tension
Journal of Computational Physics
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Computational geometry in C
The NURBS book
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
Analytical relations connecting linear interfaces and volume fractions in rectangular grids
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Numerical Recipes: FORTRAN
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
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Sharp interface tracking using the phase-field equation
Journal of Computational Physics
Journal of Computational Physics
Efficient implementation of THINC scheme: A simple and practical smoothed VOF algorithm
Journal of Computational Physics
A new interface tracking method: The polygonal area mapping method
Journal of Computational Physics
Short Note: Analytical and geometrical tools for 3D volume of fluid methods in general grids
Journal of Computational Physics
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
An unconditionally stable fully conservative semi-Lagrangian method
Journal of Computational Physics
A 3D Unsplit Forward/Backward Volume-of-Fluid Approach and Coupling to the Level Set Method
Journal of Computational Physics
Hi-index | 31.51 |
A new volume of fluid method for tracking two-dimensional interfaces is presented. The method involves a multidimensional advection algorithm based on the use of edge-matched flux polygons to integrate the volume fraction evolution equation, and a spline-based reconstruction algorithm. The accuracy and efficiency of the proposed method are analyzed using different tests, and the results are compared with those obtained recently by other authors. Despite its simplicity, the proposed method represents a significant improvement, and compares favorably with other volume of fluid methods as regards the accuracy and efficiency of both the advection and reconstruction steps.