Sharp interface Cartesian grid method II: A technique for simulating droplet interactions with surfaces of arbitrary shape

Liu, H.; Krishnan, Sreedevi; Marella, Saikrishna; Udaykumar, H. S.

doi:10.1016/j.jcp.2005.03.032

Cited by 118 publications

(114 citation statements)

References 29 publications

(60 reference statements)

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“…Numerical methods using an implicit representation of the interface such as Volume-OfFluid (vof) [1,2,3,4] or Levelset (ls) [5,6,7,8,9,10,11,12,13] can robustly and efficiently represent evolving, topologically complex interfaces. 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].…”

Section: Introductionmentioning

confidence: 99%

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

Popinet

2009

Journal of Computational Physics

1,206

1,116

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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: Introductionmentioning

confidence: 99%

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

Popinet

2009

Journal of Computational Physics

1,206

1,116

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“…For the transport of the interface, we give here some examples showing that almost all the classical methods are concerned: Boundary Integral methods [1][2][3], adaptive grid methods [4,5], Level-Set methods [6,7], Volume of Fluid methods [8][9][10], Front Tracking Methods [11,12] and coupled Level set and Volume-of-Fluid (CLSVOF) methods [13]. Different methods have also been developed for the modeling of moving contact lines.…”

Section: Introductionmentioning

confidence: 99%

“…The simplest situation is then to impose a constant angle corresponding to the static angle, i.e. h W ¼ h S [8,11,7,6,9]. When a no-slip condition is imposed on the wall, the stress generated by a contact line moving at velocity U cl , can be estimated as…”

Section: Introductionmentioning

confidence: 99%

Comparison between numerical models for the simulation of moving contact lines

Legendre

Maglio

2015

Computers & Fluids

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OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web where possible. a b s t r a c tThe aim of this study is to discus different numerically models for the simulation of moving contact lines in the context of a Volume of Fluid-Continuum Surface Force (VoF-CSF) method. We focus on the particular situation of spreading drops. We first present the numerical methods used for the simulation of moving contact line i.e. static contact angle versus dynamic contact angle, no slip condition versus slip condition. A grid and time convergence is performed for the different models. We show that the integration of the Continuum Surface Force using the finite volume method results in a grid dependence at the onset of the spreading. The static and dynamic models are compared to experiments. It is shown that the dynamic models based on the Cox's relation for the dynamic contact angle are able to reproduce experiments while static models overestimate the spreading time and are not able to reproduce the Tanner regime. The difference between static and dynamic models is shown to increase with the Ohnesorge number.

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“…Numerical algorithms for calculating surface tension have been presented from the perspective of front tracking algorithms [14,26,25,28,16], Volume-of-Fluid algorithms [3,7,1,18,8], level set methods [24,12,13], and various hybrid methods [23,20,6]. The ability to accurately calculate surface tension can be important for modeling the impact of drops on surfaces, contact line dynamics, bubble motion, and the break-up of liquid jets.…”

Section: Introductionmentioning

confidence: 99%

High-order Techniques for Calculating Surface Tension Forces

Sussman

Ohta

2006

International Series of Numerical Mathematics

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Abstract. In this paper we develop further the "height fraction" technique for computing curvature directly from volume fractions. In particular we, (1) develop a systematic approach for calculating curvature from volume fractions which is accurate to any order, and (2) we test the second-order "height fraction" technique on the following two-phase problems: (1) the break-up of a cylindrical column of liquid due to Rayleigh-capillary instability, (2) surface tension induced droplet oscillations and (3) the steady motion of gas bubbles rising in liquid.

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Sharp interface Cartesian grid method II: A technique for simulating droplet interactions with surfaces of arbitrary shape

Cited by 118 publications

References 29 publications

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

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

Comparison between numerical models for the simulation of moving contact lines

High-order Techniques for Calculating Surface Tension Forces

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