Computation of a Moving Drop/Bubble on a Solid Surface using a Front-Tracking Method

Huang, Huaxiong; Dong, Liang; Wetton, Brian

doi:10.4310/cms.2004.v2.n4.a1

Cited by 27 publications

(29 citation statements)

References 21 publications

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“…The second approach is to add an external point force f i dðx À x i ÞdðyÞ at the contact line, say ðx i ; 0Þ, i ¼ 1; 2, for a pre-determined force strength f i arising from the unbalanced Young's force, then use a discrete delta function to distribute the force term to the nearby grid points of the contact lines as in the Peskin's Immersed Boundary method, see [11,26].…”

Section: The Implementation Of the Contact Line Conditionmentioning

confidence: 99%

“…In [8], an Arbitrary Lagrangian Eulerian (ALE) finite element method using a body fitted mesh was studied. The Immersed Boundary (IB) method have been proposed in [11,26], in which the boundary condition at the contact lines are enforced through an external point force at those lines. These point-sources are then distributed to the nearby grid points via a discrete delta function.…”

Section: Introductionmentioning

confidence: 99%

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An augmented method for free boundary problems with moving contact lines

Lai

et al. 2010

Computers & Fluids

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a b s t r a c tAn augmented immersed interface method (IIM) is proposed for simulating one-phase moving contact line problems in which a liquid drop spreads or recoils on a solid substrate. While the present twodimensional mathematical model is a free boundary problem, in our new numerical method, the fluid domain enclosed by the free boundary is embedded into a rectangular one so that the problem can be solved by a regular Cartesian grid method. We introduce an augmented variable along the free boundary so that the stress balancing boundary condition is satisfied. A hybrid time discretization is used in the projection method for better stability. The resultant Helmholtz/Poisson equations with interfaces then are solved by the IIM in an efficient way. Several numerical tests including an accuracy check, and the spreading and recoiling processes of a liquid drop are presented in detail.

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Section: The Implementation Of the Contact Line Conditionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An augmented method for free boundary problems with moving contact lines

Lai

et al. 2010

Computers & Fluids

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“…The interface thickness (as indicated by the red hatched area) is typically 2-3 mesh cells for the CF-VOF and C-LS methods and is larger (up to 10 mesh cells) for the PF method 2.3.1.1 Methods with zero interface thickness (sharp interface methods) Numerical methods for interfaces of zero thickness can be divided into two main groups depending on the type of the grid. In the first group, moving unstructured grids are used (Huang and Russell 2011) and the interface is treated as a boundary. The interface is represented by a set of cell edges (in 2D) or cell faces (in 3D); this allows a precise representation of interfacial jumps in the physical variables on the zerothickness interface without any smoothing.…”

Section: Description Of the Interface Evolutionmentioning

confidence: 99%

Numerical modeling of multiphase flows in microfluidics and micro process engineering: a review of methods and applications

Wörner

2012

Microfluid Nanofluid

372

197

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This article presents a comprehensive review of numerical methods and models for interface resolving simulations of multiphase flows in microfluidics and micro process engineering. The focus of the paper is on continuum methods where it covers the three common approaches in the sharp interface limit, namely the volumeof-fluid method with interface reconstruction, the level set method and the front tracking method, as well as methods with finite interface thickness such as color-function based methods and the phase-field method. Variants of the mesoscopic lattice Boltzmann method for two-fluid flows are also discussed, as well as various hybrid approaches. The mathematical foundation of each method is given and its specific advantages and limitations are highlighted. For continuum methods, the coupling of the interface evolution equation with the single-field Navier-Stokes equations and related issues are discussed. Methods and models for surface tension forces, contact lines, heat and mass transfer and phase change are presented. In the second part of this article applications of the methods in microfluidics and micro process engineering are reviewed, including flow hydrodynamics (separated and segmented flow, bubble and drop formation, breakup and coalescence), heat and mass transfer (with and without chemical reactions), mixing and dispersion, Marangoni flows and surfactants, and boiling.

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“…One of the mostly discussed issues for modeling the tri-junction location, or the contact line, with Navier-Stokes equations is that the imposed no-slip condition for velocity leads to a non-integrable singularity in stress. Among the various models, ones which produce slip condition 47,48,49 is adopted in this study.…”

Section: F Contact Line Treatmentmentioning

confidence: 99%

“…In this work, we adopt an approach based on a simplified version of Huang et al 49 without considering the effects of the slip velocity on the contact angle. In the present work, flow dynamics moves the contact angle asymptotically towards a prescribed static contact angle.…”

Section: F Contact Line Treatmentmentioning

confidence: 99%

Marker-Based, 3-D Adaptive Cartesian Grid Method for Multiphase Flow around Irregular Geometries

Uzgoren

Sim

Shyy

2008

46th AIAA Aerospace Sciences Meeting and Exhibit

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Computational simulations of multiphase flow are challenging because many practical applications require adequate resolution of not only interfacial physics associated with moving boundaries with possible topological changes, but also around three-dimensional, irregular solid geometries. In this paper, we focus on the simulations of fluid/fluid dynamics around complex geometries, based on an Eulerian-Lagrangian framework. The approach uses two independent but related grid layouts to track the interfacial and solid boundary conditions, and is capable of capturing interfacial as well as multiphase dynamics. In particular, the stationary Cartesian grid with time dependent, local adaptive refinement is utilized to handle the computation of the transport equations, while the interface shape and movement are treated by marker-based triangulated surface meshes which freely move and interact with the Cartesian grid. The markers are also used to identify the location of solid boundaries and enforce the no-slip condition there. Issues related to the contact line treatment, topological changes of multiphase fronts during merger or breakup of objects, and necessary data structures and solution techniques are also highlighted. Selected test cases including spacecraft fuel tank flow management, and movement and rupture of interfaces associated with liquid plug flow are presented.

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Computation of a Moving Drop/Bubble on a Solid Surface using a Front-Tracking Method

Cited by 27 publications

References 21 publications

An augmented method for free boundary problems with moving contact lines

An augmented method for free boundary problems with moving contact lines

Numerical modeling of multiphase flows in microfluidics and micro process engineering: a review of methods and applications

Marker-Based, 3-D Adaptive Cartesian Grid Method for Multiphase Flow around Irregular Geometries

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