A front-tracking method for dendritic solidification
Journal of Computational Physics
Reconstructing volume tracking
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Multi-physics treatment in the vicinity of arbitrarily deformable gas-liquid interfaces
Journal of Computational Physics
The numerical simulation of liquid sloshing on board spacecraft
Journal of Computational Physics
Journal of Computational Physics
Short Note: Second-order accurate normals from height functions
Journal of Computational Physics
An accurate adaptive solver for surface-tension-driven interfacial flows
Journal of Computational Physics
Journal of Computational Physics
Interface curvature via volume fractions, heights, and mean values on nonuniform rectangular grids
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
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A new volume-of-fluid method with a constructed distance function on general structured grids
Journal of Computational Physics
A new approach to sub-grid surface tension for LES of two-phase flows
Journal of Computational Physics
A Coupled Level Set-Moment of Fluid Method for Incompressible Two-Phase Flows
Journal of Scientific Computing
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An interface represented by discrete, abruptly-varying volume fractions poses particular challenges for the accurate estimation of interfacial curvature. Most approaches within a volume-of-fluid (VOF) framework do not estimate curvature directly from the VOF function, but instead from a smoothly-varying function derived from some mapping (e.g., convolution, discrete quadrature) of the VOF function. In this study we assess and compare the accuracy and robustness of curvature estimates derived from three smooth, VOF-based functions: a convolved VOF (CV) function, a height function (HF), and a reconstructed distance function (RDF). The methodology used in reconstructing a distance function from volume fractions is new and therefore presented in detail along with an analysis of the resulting sensitivities. We find that curvature estimates derived from the height function provide superior results, as measured in smaller error and higher (second-order) convergence rate. While curvature estimates from the RDF provides smaller errors relative to those derived from the CV, both techniques exhibit similar convergence behaviour. Numerical results, including a new cosine wave verification test, are presented to substantiate the findings.