Lattice Boltzmann simulations of forced wetting transitions of drops on superhydrophobic surfaces

Connington, Kevin; Lee, Taehun

doi:10.1016/j.jcp.2013.05.012

Cited by 64 publications

(56 citation statements)

References 53 publications

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“…Recently, the free energy based phase field lattice Boltzmann method (LBM, which is a kineticbased mesoscopic approach for fluid dynamic simulation [1]) [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] has attracted much attention for simulation of multiphase flow problems. It has been continuously refined and applied to simulate problems involving bubble dynamics [19], contact line dynamics [11,[20][21][22], the multiphase flow in microfluidic devices [23], and others [24][25][26]. The popularity mainly attributes to the advantages of LBM for the flow field simulation and phase field method [27,28] for the interface capturing.…”

Section: Introductionmentioning

confidence: 99%

A hybrid phase field multiple relaxation time lattice Boltzmann method for the incompressible multiphase flow with large density contrast

Shao

Chen

2015

Numerical Methods in Fluids

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A hybrid phase field multiple relaxation time lattice Boltzmann method (LBM) is presented in this paper for simulation of multiphase flows with large density contrast. In the present method, the flow field is solved by a lattice Boltzmann equation. Concurrently, the interface of two fluids is captured by solving the macroscopic Cahn‐Hilliard equation using the upwind scheme. To be specific, for simulation of the flow field, an lattice Boltzmann equation (LBE) model developed in Shao et al. (Physical Review E, 89 (2014), 033309) for consideration of density contrast in the momentum equation is used. Moreover, in the present work, the multiple relaxation time collision operator is applied to this LBE to enable simulation of problems with large viscosity contrast or high Reynolds number. For the interface capturing, instead of solving another set of LBE as in many phase field LBMs, the macroscopic Cahn‐Hilliard equation is directly solved by using a weighted essentially non‐oscillatory scheme. In this way, the present hybrid phase field LBM shares full advantages of the phase field LBM while enhancing numerical stability. The ability of the present method to simulate multiphase flow problems with large density contrast is demonstrated by several numerical examples. Copyright © 2015 John Wiley & Sons, Ltd.

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Section: Introductionmentioning

confidence: 99%

A hybrid phase field multiple relaxation time lattice Boltzmann method for the incompressible multiphase flow with large density contrast

Shao

Chen

2015

Numerical Methods in Fluids

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“…Here it is worth mentioning that in the LB community there are also a lot of studies in simulating wetting phenomena using other multiphase LB models, such as the free energy LB models [19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Contact angles in the pseudopotential lattice Boltzmann modeling of wetting

et al. 2014

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“…The first article to use lattice Boltzmann to simulate superhydrophobic surfaces [27] used a set of velocity boundary conditions were to determine the missing elements of the distribution function near the fluid-wall boundary. The bounce-back condition can be modified so that the reflection to occur on the node instead of between nodes, and this approach has also been applied for studies of superhydrophobic surfaces [28]. Some wall boundary conditions result in artificial parasitic currents at the contact line, but these are eliminated if intermolecular force is handled using the potential form [29].…”

Section: Boundary Conditionsmentioning

confidence: 99%

Oriented ordering parameters for free energy lattice Boltzmann methods using the bounce-back boundary condition

Stensholt¹

2016

Computers & Mathematics with Applications

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a b s t r a c tWe evaluate the Lattice-Boltzmann model that combines the free energy approach for multiphase flow with the bounce-back boundary condition. This method requires a virtual ordering parameter to be assigned to the wall nodes. Existing literature has assigned a single ordering parameter for the entire wall node, but this is too coarse to give accurate simulations since it allows for a spurious interaction of different phases through the wall nodes. The consequences are illustrated by examining rough and hydrophobic surfaces where contact angles can be predicted using the Cassie-Baxter equation. It is found that the single value approach gives a large systemic error in the measured contact angles. Considerable improvement can be obtained by assigning different values of the ordering parameter to each side of the wall node.

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Lattice Boltzmann simulations of forced wetting transitions of drops on superhydrophobic surfaces

Cited by 64 publications

References 53 publications

A hybrid phase field multiple relaxation time lattice Boltzmann method for the incompressible multiphase flow with large density contrast

A hybrid phase field multiple relaxation time lattice Boltzmann method for the incompressible multiphase flow with large density contrast

Contact angles in the pseudopotential lattice Boltzmann modeling of wetting

Oriented ordering parameters for free energy lattice Boltzmann methods using the bounce-back boundary condition

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