Three-dimensional numerical investigation of a droplet impinging normally onto a wall film

Νikolopoulos, Nikos; Theodorakakos, A.; Bergeles, G.

doi:10.1016/j.jcp.2006.12.002

Cited by 90 publications

(62 citation statements)

References 29 publications

(76 reference statements)

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“…Option 3 above which has been used in a number of recent studies [28,30,8,36,31,9,38,64,33,39] is simple to implement within a vof framework but does not make full use of adaptivity. The total cpu time ( ≈ 6,000 timesteps) for the simulation of Figures 19-21, 25 is about three hours on a 2.5 GHz 32 bits Intel Pentium processor.…”

Section: /3mentioning

confidence: 99%

“…This is in contrast with many previous implementations of adaptive methods with vof or ls which restricted adaptivity to regions away from the interface (i.e. resolution along the interface was kept constant) [28,7,36,30,8,31,37,9,38,39,33,40]. A recent article by Malik et al [41] describes a two-dimensional quadtree implementation allowing variable resolution along the interface but their study is limited to the advection problem (not coupled to the momentum equation).…”

Section: Introductionmentioning

confidence: 99%

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

Popinet

2009

Journal of Computational Physics

1,206

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: /3mentioning

confidence: 99%

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 volume fraction flux term, in this study, the CICSAM [29] and the HRIC [30] discretization schemes are used. CICSAM has been proved to be a reliable tool for the prediction of various two-fluid phenomena concerning a) droplet impingement onto a wall film, b) binary droplet collisions and c) droplet impingement onto heated surfaces, as presented in previous works [42,45,46] [18,19,43,47,48] published by authors who belong to the same research group as the authors of this study. On the other hand HRIC scheme achieves to have a smoother velocity field and avoids the induction of excessive spurious velocities at the interface.…”

Section: Volume Of Fluid Methodsmentioning

confidence: 64%

Coupling a local adaptive grid refinement technique with an interface sharpening scheme for the simulation of two-phase flow and free-surface flows using VOF methodology

Malgarinos

Νikolopoulos

Gavaises

2015

Journal of Computational Physics

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Citation: Malgarinos, I., Nikolopoulos, N. and Gavaises, M. (2015). Coupling a local adaptive grid refinement technique with an interface sharpening scheme for the simulation of two-phase flow and free-surface flows using VOF methodology. Journal of Computational Physics, 300, pp. 732-753. doi: 10.1016/j.jcp.2015.08.004 This is the accepted version of the paper.This version of the publication may differ from the final published version. Permanent AbstractThis study presents the implementation of an interface sharpening scheme on the basis of the Volume of Fluid (VOF) method, as well as its application in a number of theoretical and real cases usually modelled in literature. More specifically, the solution of an additional sharpening equation along with the standard VOF model equations is proposed, offering the advantage of "restraining" interface numerical diffusion, while also keeping a quite smooth induced velocity field around the interface. This sharpening equation is solved right after volume fraction advection; however a novel method for its coupling with the momentum equation has been applied in order to save computational time. The advantages of the proposed sharpening scheme lie on the facts that a) it is mass conservative thus its application does not have a negative impact on one of the most important benefits of VOF method and b) it can be used in coarser grids as now the suppression of the numerical diffusion is grid independent. The coupling of the solved equation with an adaptive local grid refinement technique is used for further decrease of computational time, while keeping high levels of accuracy at the area of maximum interest (interface).The numerical algorithm is initially tested against two theoretical benchmark cases for interface tracking methodologies followed by its validation for the case of a free-falling water droplet accelerated by gravity, as well as the normal liquid droplet impingement onto a flat substrate. Results indicate that the coupling of the interface sharpening equation with the HRIC discretization scheme used for volume fraction flux term, not only decreases the interface numerical diffusion, but also allows the induced velocity field to be less perturbed owed to spurious velocities across the liquid-gas interface. With the use of the proposed algorithmic flow path, coarser grids can replace finer ones at the slight expense of accuracy.

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“…In contrast to many previous implementations of mesh adaptation for interfacial flows with Eulerian discretisations ( (Jeong and Yang, 1998;Sochnikov and Efrima, 2003;Wang et al, 2004;Greaves, 2004;Kohno and Tanahashi, 2004;Theodorakakos and Bergeles, 2004;Zheng et al, 2005;Greaves, 2006;Nikolopoulos et al, 2007;Min and Gibou, 2007) with the exception of Malik et al (2007)) our method is not limited to constant resolution along the interface. This can dramatically increase the efficiency of mesh adaptation, particularly when dealing with reconnections and breakup of interfaces (Popinet, 2007).…”

Section: Mesh Adaptationmentioning

confidence: 99%

Adaptive Mesh Refinement

Löhner

2008

Applied Computational Fluid Dynamics Techniques

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Three-dimensional numerical investigation of a droplet impinging normally onto a wall film

Cited by 90 publications

References 29 publications

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

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

Coupling a local adaptive grid refinement technique with an interface sharpening scheme for the simulation of two-phase flow and free-surface flows using VOF methodology

Adaptive Mesh Refinement

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