A computational model for interfaces
Advances in Applied Mathematics
An unsplit, higher order Godunov method for scalar conservation laws in multiple dimensions
Journal of Computational Physics
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Reconstructing volume tracking
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Sharp interface tracking using the phase-field equation
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A sharp interface method for incompressible two-phase flows
Journal of Computational Physics
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Journal of Computational Physics
Multi-material interface reconstruction on generalized polyhedral meshes
Journal of Computational Physics
Transient adaptivity applied to two-phase incompressible flows
Journal of Computational Physics
A new interface tracking method: The polygonal area mapping method
Journal of Computational Physics
Reconstruction of multi-material interfaces from moment data
Journal of Computational Physics
Journal of Scientific Computing
Short Note: Second-order accurate normals from height functions
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
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An investigation of interface-sharpening schemes for multi-phase mixture flows
Journal of Computational Physics
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A comparative study of interface reconstruction methods for multi-material ALE simulations
Journal of Computational Physics
Conservative Volume-of-Fluid method for free-surface simulations on Cartesian-grids
Journal of Computational Physics
Journal of Computational Physics
A lattice Boltzmann approach for free-surface-flow simulations on non-uniform block-structured grids
Computers & Mathematics with Applications
Journal of Computational Physics
A PLIC-VOF method suited for adaptive moving grids
Journal of Computational Physics
Journal of Computational Physics
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Journal of Computational Physics
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Short Note: Revisit to the THINC scheme: A simple algebraic VOF algorithm
Journal of Computational Physics
Journal of Computational Physics
A numerical method for interface reconstruction of triple points within a volume tracking algorithm
Mathematical and Computer Modelling: An International Journal
A new approach to sub-grid surface tension for LES of two-phase flows
Journal of Computational Physics
Simulating free surface flow with very large time steps
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Mass-conserving eulerian liquid simulation
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Discrete multi-material interface reconstruction for volume fraction data
EuroVis'08 Proceedings of the 10th Joint Eurographics / IEEE - VGTC conference on Visualization
Simulating free surface flow with very large time steps
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Mass-conserving eulerian liquid simulation
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
A Coupled Level Set-Moment of Fluid Method for Incompressible Two-Phase Flows
Journal of Scientific Computing
A discontinuous Galerkin conservative level set scheme for interface capturing in multiphase flows
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.60 |
We introduce two new volume-of-fluid interface reconstruction algorithms and compare the accuracy of these algorithms to four other widely used volume-of-fluid interface reconstruction algorithms. We find that when the interface is smooth (e.g., continuous with two continuous derivatives) the new methods are second-order accurate and the other algorithms are first-order accurate. We propose a design criteria for a volume-of-fluid interface reconstruction algorithm to be second-order accurate. Namely, that it reproduce lines in two space dimensions or planes in three space dimensions exactly. We also introduce a second-order, unsplit, volume-of-fluid advection algorithm that is based on a second-order, finite difference method for scalar conservation laws due to Bell, Dawson and Shubin. We test this advection algorithm by modeling several different interface shapes propagating in two simple incompressible flows and compare the results with the standard second-order, operator-split advection algorithm. Although both methods are second-order accurate when the interface is smooth, we find that the unsplit algorithm exhibits noticeably better resolution in regions where the interface has discontinuous derivatives, such as at corners.