Level Set, Phase-Field, and Immersed Boundary Methods for Two-Phase Fluid Flows

Hua, Haobo; Shin, Jeeyoung; Kim, Junseok

doi:10.1115/1.4025658

Cited by 27 publications

(8 citation statements)

References 94 publications

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“…where 𝑀(∅), denoting mobility, has been given various definitions in the literature. In the phasefield method, the surface tension force is obtained by the following 40 :…”

Section: B Two-phase Flow Equationsmentioning

confidence: 99%

“…Two main types of this model include the Allen-Cahn and Cahn-Hilliard equations. The governing equations for both types have been delineated and investigated in the literature 37,38 ; however, this article largely focuses on the Cahn-Hilliard equation, especially in conjunction with the Navier-Stokes equation [39][40][41] . On top of that, the Cahn-Hilliard equation has been successfully coupled with different viscoelastic fluid models in previous works [42][43][44] that investigate the applicability of the phase-field model to solve multi-phase non-Newtonian fluid flow.…”

Section: Introductionmentioning

confidence: 99%

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Numerical simulation of jet mode in electrospraying of Newtonian and viscoelastic fluids

Panahi

Pishevar

Tavakoli

2020

International Journal of Multiphase Flow

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The purpose of this article is to explore the role of viscoelastic properties of polymeric solutions on the jet mode in the electrospray process. In this research, several numerical simulations were performed to model the behavior of electrified Newtonian and viscoelastic jets. First, used for validating viscoelastic constitutive equations and their implementation, the benchmark problem of the sedimenting sphere is stabilized beyond the previously suggested threshold. Then, an electrified DI water jet was simulated, and the obtained jet profile was compared with the experimental data from previous publications. Finally, the proposed algorithm was used to simulate viscoelastic electrified jets, where the effect of the Weissenberg number (Wi) on the jet profile was examined. In agreement with the previously obtained experimental results, by increasing the solution concentration, the asymptotic profile of the jet is reached at a smaller length from the nozzle, while the final thickness of the jet is slightly reduced.

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“…where 𝑀(∅), denoting mobility, has been given various definitions in the literature. In the phasefield method, the surface tension force is obtained by the following 40 :…”

Section: B Two-phase Flow Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical simulation of jet mode in electrospraying of Newtonian and viscoelastic fluids

Panahi

Pishevar

Tavakoli

2020

International Journal of Multiphase Flow

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“…Secondly, the level set method is based on reinitialization techniques which greatly affect accuracy and efficiency. Combined with the known mass loss problems of the method, this leads to the observed deviations [33]. The deviation could be removed by introducing an experimentally determined correction factor into the model.…”

Section: Resultsmentioning

confidence: 99%

Dual-nozzle microfluidic droplet generator

et al. 2018

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The droplet-generating microfluidics has become an important technique for a variety of applications ranging from single cell analysis to nanoparticle synthesis. Although there are a large number of methods for generating and experimenting with droplets on microfluidic devices, the dispensing of droplets from these microfluidic devices is a challenge due to aggregation and merging of droplets at the interface of microfluidic devices. Here, we present a microfluidic dual-nozzle device for the generation and dispensing of uniform-sized droplets. The first nozzle of the microfluidic device is used for the generation of the droplets, while the second nozzle can accelerate the droplets and increase the spacing between them, allowing for facile dispensing of droplets. Computational fluid dynamic simulations were conducted to optimize the design parameters of the microfluidic device.Electronic supplementary materialThe online version of this article (10.1186/s40580-018-0145-2) contains supplementary material, which is available to authorized users.

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“…Moreover, it is important to choose appropriate ϵ values for accurate calculations. An excessively large ϵ can produce nonphysical solutions, whereas an excessively small ϵ can cause numerical difficulties [39].…”

Section: Governing Equations and Interface Representationmentioning

confidence: 99%

Comparison of Numerical Methods for Ternary Fluid Flows: Immersed Boundary, Level-Set, and Phase-Field Methods

Lee¹,

Jeong²,

Choi³

et al. 2016

Journal of the Korea Society for Industrial and Applied Mathema

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ABSTRACT. This paper reviews and compares three different methods for modeling incompressible and immiscible ternary fluid flows: the immersed boundary, level set, and phase-field methods. The immersed boundary method represents the moving interface by tracking the Lagrangian particles. In the level set method, an interface is defined implicitly by using the signed distance function, and its evolution is governed by a transport equation. In the phase-field method, the advective Cahn-Hilliard equation is used as the evolution equation, and its order parameter also implicitly defines an interface. Each method has its merits and demerits. We perform the several simulations under different conditions to examine the merits and demerits of each method. Based on the results, we determine the most suitable method depending on the specific modeling needs of different situations.

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Level Set, Phase-Field, and Immersed Boundary Methods for Two-Phase Fluid Flows

Cited by 27 publications

References 94 publications

Numerical simulation of jet mode in electrospraying of Newtonian and viscoelastic fluids

Numerical simulation of jet mode in electrospraying of Newtonian and viscoelastic fluids

Dual-nozzle microfluidic droplet generator

Comparison of Numerical Methods for Ternary Fluid Flows: Immersed Boundary, Level-Set, and Phase-Field Methods

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