Deformation and coalescence of ferrodroplets in Rosensweig model using the phase field and modified level set approaches under uniform magnetic fields

Bai, Feng; Han, Daozhi; He, Xiaoming; Yang, Xiaofeng

doi:10.1016/j.cnsns.2020.105213

Cited by 17 publications

(2 citation statements)

References 102 publications

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“…Based on the phase field approach and multiphase numerical Rosensweig models, Bai et al. [39] have studied the cases of one ferrodroplet deformation and two paired ferrodroplets merging process under an external magnetic field. Recently, Nochetto [40] have used the Shliomis and Cahn‐Hilliard equations to develop a two‐phase ferrohydrodynamics model and presented an energy stable finite element scheme to approximate it.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of the ferrohydrodynamics flow using an unconditionally stable second‐order scheme

Keram,

Huang

2024

Z Angew Math Mech

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In this paper, we design a decoupled, linear, unconditionally stable and fully discrete numerical scheme for a ferrohydrodynamics system with second‐order temporal accuracy. This scheme is based on a second‐order backward difference formula for time derivative terms and linearization extrapolation for nonlinear terms, which produces a series of decoupled linear equations and solves effectively this nonlinear and multiphysical coupled system. Meanwhile, we show that the scheme is unconditionally stable. Finally, some numerical experiments are provided to verify the theoretical finding and illustrate the accuracy and efficiency of the proposed scheme.

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Section: Introductionmentioning

confidence: 99%

Numerical simulation of the ferrohydrodynamics flow using an unconditionally stable second‐order scheme

Keram,

Huang

2024

Z Angew Math Mech

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“…The VOF method did not correctly predict the slug flow pattern under the conditions studied. The accuracy of the diffuse interface or phase-field approach and the CLSM to capture the coalescence process of two ferrodroplets, was investigated in [28]. Comparison against analytical solutions showed that the phase-field approach results are more accurate than the results of CLSM when the magnetic effect dominates over the surface tension effect; that is to say, when there are large topological deformations produced by large uniform magnetic fields.…”

Section: Introductionmentioning

confidence: 99%

Computational Study in Bottom Gas Injection Using the Conservative Level Set Method

et al. 2020

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This paper presents a computational study on bottom gas injection in a cylindrical tank. The bubble formation at submerged orifices, bubble rising, and interactions between bubbles and bubbles with the free surface were studied using the conservative level set method (CLSM). Since the gas injection is an important technique in various fields and this process is quite complicated, the scenario was chosen to quantify the efficacy of the CLSM to describe the gas-liquid complex interactions with fast changes in the surface tension force and buoyancy force. The simulation accuracy is verified with the grid convergence index (GCI) approach and Richardson Extrapolation (RE) and is validated by comparing the numerical results with experimental observations, theoretical equations, and published data. The results show that the CLSM accurately reproduces the bubble formation frequency, and that it can handle complicated bubble shapes. Moreover, it captures the challenging phenomena of interaction between bubbles and free surface, the jet of liquid produced when bubbles break through the free surface, and the rupture of the film of liquid. Therefore, the CLSM is a robust numerical technique to describe gas-liquid complex interactions, and it is suited to simulate the gas injection operation.

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Highly efficient variant of SAV approach for two-phase incompressible conservative Allen–Cahn fluids

Yang

Chen

Tan

2022

Engineering with Computers

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Deformation and coalescence of ferrodroplets in Rosensweig model using the phase field and modified level set approaches under uniform magnetic fields

Cited by 17 publications

References 102 publications

Numerical simulation of the ferrohydrodynamics flow using an unconditionally stable second‐order scheme

Numerical simulation of the ferrohydrodynamics flow using an unconditionally stable second‐order scheme

Computational Study in Bottom Gas Injection Using the Conservative Level Set Method

Highly efficient variant of SAV approach for two-phase incompressible conservative Allen–Cahn fluids

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