Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Reconstructing volume tracking
Journal of Computational Physics
An adaptive level set approach for incompressible two-phase flows
Journal of Computational Physics
Tree methods for moving interfaces
Journal of Computational Physics
Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows
Journal of Computational Physics
A PDE-based fast local level set method
Journal of Computational Physics
Journal of Computational Physics
Analytical relations connecting linear interfaces and volume fractions in rectangular grids
Journal of Computational Physics
Weighted ENO Schemes for Hamilton--Jacobi Equations
SIAM Journal on Scientific Computing
A Boundary Condition Capturing Method for Multiphase Incompressible Flow
Journal of Scientific Computing
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
Journal of Computational Physics
Multi-physics treatment in the vicinity of arbitrarily deformable gas-liquid interfaces
Journal of Computational Physics
Journal of Computational Physics
Short Note: Analytical and geometrical tools for 3D volume of fluid methods in general grids
Journal of Computational Physics
A study on the extension of a VOF/PLIC based method to a curvilinear co-ordinate system
International Journal of Computational Fluid Dynamics
An improved particle correction procedure for the particle level set method
Journal of Computational Physics
Sharp interface immersed-boundary/level-set method for wave-body interactions
Journal of Computational Physics
Estimating curvature from volume fractions
Computers and Structures
Journal of Computational Physics
Journal of Computational Physics
Journal of Scientific Computing
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A second-order volume-of-fluid method (VOF) is presented for interface tracking and sharp interface treatment on general structured grids. Central to the new method is a second-order distance function construction scheme on a general structured grid based on the reconstructed interface. A novel technique is developed for evaluating the interface normal vector using the distance function. With the normal vector, the interface is reconstructed from the volume fraction function via a piecewise linear interface calculation (PLIC) scheme on the computational domain. Several numerical tests are conducted to demonstrate the accuracy and efficiency of the present method. In general, the new VOF method is more efficient than both the high-order level set and the coupled level set and volume-of-fluid (CLSVOF) methods. The results from the new method are better than those from the benchmark VOF method, particularly in the under-resolved regions, and are comparable to those from the CLSVOF method. Breaking waves over a submerged bump and around a wedge-shaped bow are simulated to demonstrate the application of the new method and sharp interface treatment in a two-phase flow solver on curvilinear grids. The computational results are in good agreement with the available experimental measurements.