Two-Phase Flows on Interface Refined Grids Modeled with VOF, Staggered Finite Volumes, and Spline Interpolants

Ginzburg, Irina; Wittum, Gabriel

doi:10.1006/jcph.2000.6655

Cited by 89 publications

(72 citation statements)

References 61 publications

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“…The height-function (hf) curvature calculation initially proposed by Torrey et al [65] has recently been shown to give practical estimates of the curvature which are comparable in accuracy to estimates obtained using the differentiation of exact levelset functions [25]. The hf method is also substantially simpler to implement than other high-order methods such as parabolic fitting (prost [21]) or spline interpolation [24]. An important shortcoming of the standard hf method which is rarely discussed, however, is that it becomes inconsistent when the radius of curvature of the interface becomes comparable to the mesh size.…”

Section: Generalised Height-function Curvature Calculationmentioning

confidence: 99%

“…The accurate representation of surface tension within these methods is typically more delicate than for schemes using an explicit representation of the interface [14,15,16,17] and care must be taken to avoid any imbalance between discrete surface tension and pressure gradient terms [18,19,15,20,21,22,23]. For vof methods the accurate evaluation of the geometrical properties of the interface such as curvature is also an active research topic [24,21,25,23,26]. Finally dynamic mesh-adaptive methods can deal efficiently with phenomena involving a wide range of spatial scales [27,28,29,6,7,30,8,31,17,9,32,33,34].…”

Section: Introductionmentioning

confidence: 99%

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An accurate adaptive solver for surface-tension-driven interfacial flows

Popinet

2009

Journal of Computational Physics

1,105

1,104

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A method combining an adaptive quad/octree spatial discretisation, geometrical Volume-OfFluid interface representation, balanced-force continuum-surface-force surface tension formulation and height-function curvature estimation is presented. The extension of these methods to the quad/octree discretisation allows adaptive variable resolution along the interface and is described in detail. The method is shown to recover exact equilibrium (to machine accuracy) between surfacetension and pressure gradient in the case of a stationary droplet, irrespective of viscosity and spatial resolution. Accurate solutions are obtained for the classical test case of capillary wave oscillations. An application to the capillary breakup of a jet of water in air further illustrates the accuracy and efficiency of the method. The source code of the implementation is freely available as part of the Gerris flow solver.1

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Section: Generalised Height-function Curvature Calculationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An accurate adaptive solver for surface-tension-driven interfacial flows

Popinet

2009

Journal of Computational Physics

1,105

1,104

View full text Add to dashboard Cite

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“…A 2-dimensional two-phase flow model was implemented in [33] using VOF and a staggered Finite Volume method. This methodology was based on one class of elements commonly found in Finite Element methods, namely Crouzeix-Raviart.…”

Section: Two-phase Flow Methodsmentioning

confidence: 99%

3D ALE Finite-Element Method for Two-Phase Flows With Phase Change

Anjos

Mangiavacchi

Borhani

et al. 2013

Heat Transfer Engineering

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“…We also want to mention the following papers on adaptive mesh refinement for interfacial flows: for those using volume-of-fluid (VOF) type methods [15][16][17][18], those using level-set method [19,20], and front-tracking method [21].…”

Section: Introductionmentioning

confidence: 99%

Adaptive moment-of-fluid method

Ahn

Shashkov

2009

Journal of Computational Physics

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A novel adaptive mesh refinement (AMR) strategy based on the moment-of-fluid (MOF) method for volume-tracking of evolving interfaces is presented. Moment-offluid method is a new interface reconstruction and volume advection method using volume fractions as well as material centroids. The mesh refinement criterion is based on the deviation of the actual centroid obtained by interface reconstruction from the reference centroid given by moment advection process. The centroid error indicator detects not only high curvature regions but also regions with complicated subcell structures like filaments. A new Lagrange+remap scheme is presented for advecting moments, which includes Lagrangian backtracking, polygon intersectionbased remapping and forward tracking to define the material centroid. The effectiveness and efficiency of AMR-MOF method is demonstrated with classical test problems, such as Zalesak's disk and reversible vortex problem. The comparison with previously published results for these problems shows the superior accuracy of the AMR-MOF method over other methods. In addition, two new test cases with severe deformation rates are introduced, namely droplet deformation and S-shape deformation problems, for further demonstration of the capabilities of the AMR-MOF method. Fig. 1. Conceptual structure of the adaptive mesh refinement strategy for interfacial flow computation. In volume-tracking methods (MOF or VOF), the Interface Representation module is typically composed of (i) interface reconstruction and (ii) advection steps.

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Two-Phase Flows on Interface Refined Grids Modeled with VOF, Staggered Finite Volumes, and Spline Interpolants

Cited by 89 publications

References 61 publications

An accurate adaptive solver for surface-tension-driven interfacial flows

An accurate adaptive solver for surface-tension-driven interfacial flows

3D ALE Finite-Element Method for Two-Phase Flows With Phase Change

Adaptive moment-of-fluid method

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