An improved height function technique for computing interface curvature from volume fractions

López, J.; Zanzi, Claudio; Gómez, Pablo; Zamora, Rosendo; Faura, F.; Hernández, J.

doi:10.1016/j.cma.2009.03.007

Cited by 69 publications

(63 citation statements)

References 21 publications

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“…The figure also includes the average number of times the α coefficients of Eqs. (16) and (17) are calculated, N α , when the proposed CIBRAVE method of Section 4 ( Fig. 11(b)) is used (obviously, only one calculation of the α coefficients is required when the standard method of Fig.…”

Section: Interface Reconstruction In Single Cellsmentioning

confidence: 99%

“…15 and 16 show, for different cell geometries, the partial CPU times corresponding to the construction of the list of ordered vertices, the bracketing procedure, the calculation of the α coefficients of Eq. (16) or (17), and the root finding step. The sums of the partial relative CPU times are also included in the figures.…”

Section: Interface Reconstruction In Single Cellsmentioning

confidence: 99%

See 1 more Smart Citation

A new volume conservation enforcement method for PLIC reconstruction in general convex grids

López

Hernández

Gómez

et al. 2016

Journal of Computational Physics

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A comprehensive study is made of methods for resolving the volume conservation enforcement problem in the PLIC reconstruction of an interface in general 3D convex grids. Different procedures to bracket the solution when solving the problem using previous standard methods are analyzed in detail. A new interpolation bracketing procedure and an improved analytical method to find the interface plane constant are proposed. These techniques are combined in a new method to enforce volume conservation, which does not require the sequential polyhedra truncation operations typically used in standard methods. The new methods have been implemented into existing geometrical routines described in López and Hernández [15], which are further improved by using more efficient formulae to compute areas and volumes of general convex 2 and 3D polytopes. Different tests using regular and irregular cell geometries are carried out to demonstrate the robustness and substantial improvement in computational efficiency of the proposed techniques, which increase the computation speed of the mentioned routines by up to 3 times for the 3D problems considered in this work.

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Section: Interface Reconstruction In Single Cellsmentioning

confidence: 99%

Section: Interface Reconstruction In Single Cellsmentioning

confidence: 99%

A new volume conservation enforcement method for PLIC reconstruction in general convex grids

López

Hernández

Gómez

et al. 2016

Journal of Computational Physics

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“…A hybrid approach was introduced by Williams [10], using the first derivative of a convolution kernel to evaluate the interface normals and a finite-difference method to calculate the curvature from the interface normals. Recent efforts to find more accurate ways to determine the interface curvature have mainly focused on VOF methods with height functions (HF) [6,9,[12][13][14][15] and coupled VOF-LS methods [16][17][18][19][20].…”

Section: Nomenclaturẽmentioning

confidence: 99%

“…To validate the proposed least-squares method to evaluate the interface curvature, CELESTE, an inviscid static drop in equilibrium as found in [6,11,13,14] is considered. The inviscid static drop is the same as applied in Section 4.1.1.…”

Section: Inviscid Static Drop In Equilibriummentioning

confidence: 99%

Fully-Coupled Balanced-Force VOF Framework for Arbitrary Meshes with Least-Squares Curvature Evaluation from Volume Fractions

Denner

Wachem

2014

Numerical Heat Transfer, Part B: Fundamentals

102

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A fully-coupled balanced-force numerical framework for two-phase flows with surface tension on arbitrary collocated meshes is presented, including a novel method to evaluate the curvature from volume fractions. The presented framework reduces the imbalances at the interface to solver tolerance and provides stable and reliable results for density ratios of 10 6 and larger. The new method to evaluate the curvature is based on a least-squares fit, providing better or equal accuracy compared to implementations found in the literature, which are generally limited to structured meshes, and the accuracy on Cartesian and tetrahedral meshes is shown to be comparable.

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“…Most of the literature (Francois et al, 2006;Liovic et al, 2010;López et al, 2009) doesn't adopt this criterion and reports the spurious velocity magnitude only for the initial time steps. For the present test case, simulations are run up to t/T v = 1 and Fig.…”

Section: Stationary Dropletmentioning

confidence: 99%

Computing interface curvature from volume fractions: A hybrid approach

2018

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An improved height function technique for computing interface curvature from volume fractions

Cited by 69 publications

References 21 publications

A new volume conservation enforcement method for PLIC reconstruction in general convex grids

A new volume conservation enforcement method for PLIC reconstruction in general convex grids

Fully-Coupled Balanced-Force VOF Framework for Arbitrary Meshes with Least-Squares Curvature Evaluation from Volume Fractions

Computing interface curvature from volume fractions: A hybrid approach

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