Phase-field-lattice Boltzmann method for dendritic growth with melt flow and thermosolutal convection–diffusion

Wang, Nanqiao; Korba, David; Liu, Zixiang; Prabhu, Raj; Priddy, Matthew W.; Yang, Shengfeng; Chen, Lei; Li, Like

doi:10.1016/j.cma.2021.114026

Cited by 18 publications

(3 citation statements)

References 52 publications

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“…Different from N-S solvers, the LBM is sourced from the kinetic theory and the governing equations can be solved directly in an explicit way. This feature ensures efficiency in computing and simplicity in programming and has led the LBM to be a popular method in recent decades (Guo et al 2002;Mehravaran and Hannani 2008;Huang et al 2009b;Lee and Liu 2010;Zhou et al 2012;Galindo-Torres et al 2013;Lin et al 2013;Galindo-Torres 2013;Galindo-Torres et al 2016;de Rosis 2017;Yang et al 2018Yang et al , 2019Chen et al 2020;Verdier et al 2020;Ru et al 2021;Wang et al 2021;Zhang et al 2021). Chen et al developed an improved version of the simplified LBM (SLBM) (Chen et al 2017(Chen et al , 2018Chen and Shu 2020a, b).…”

Section: Article Highlightsmentioning

confidence: 99%

Numerical Investigation on the Deformation of the Free Interface During Water Entry and Exit of a Circular Cylinder by Using the Immersed Boundary-Multiphase Lattice Boltzmann Flux Solver

Zhang

Yan

Song

et al. 2022

J. Marine. Sci. Appl.

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In this work, the deformation of free interface during water entry and exit of a circular cylinder is investigated numerically by using the two-dimensional (2D) immersed boundary-multiphase lattice Boltzmann flux solver (IB-MLBFS). The fluid domain is discretized by finite volume discretization, and the flux on the grid interface is evaluated by lattice Boltzmann equations. Both the implicit velocity correction and the surface flux correction are implemented by using the immersed boundary-method to consider the fluid-structure interaction and the contact interface between the multiphase fluids and the structure. First, the water entry of a circular cylinder is simulated and the results are compared with the experiment, which considered the length-diameter ratio of the circular cylinder. The reliability of 2D simulation is verified and the deformation of the free interface is well investigated. Afterward, the water exit of a circular cylinder with constant velocity is simulated, which is less researched. In addition, the results show the advantage of present IB-MLBFS to some extent. Finally, the water exit and re-entry of a circular cylinder are presented, and the results present the complex deformation of the free interface and the dynamic response of the moving structure. Based on the numerical results, the free interface of the multiphase fluids is well captured, and the contact interface on the boundary of the moving structure is accurately presented by the IB-MLBFS.

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Section: Article Highlightsmentioning

confidence: 99%

Numerical Investigation on the Deformation of the Free Interface During Water Entry and Exit of a Circular Cylinder by Using the Immersed Boundary-Multiphase Lattice Boltzmann Flux Solver

Zhang

Yan

Song

et al. 2022

J. Marine. Sci. Appl.

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“…As most microstructures in cast products are formed through dendrite growth, an accurate prediction of dendrite growth during alloy solidification is essential to improve the properties of cast products. As a state-of-the-art technology to investigate dendrite solidification, time-resolved in-situ X-ray tomography (4D-CT) [1-4] and large-scale phase-field (PF) simulations [5][6][7][8][9][10] have been employed.…”

Section: Introductionmentioning

confidence: 99%

Data assimilation for dendritic solidification with melt convection: phase-field lattice Boltzmann study

Yamamura

Sakane

Ohno

et al. 2023

IOP Conf. Ser.: Mater. Sci. Eng.

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Time-resolved in-situ X-ray tomography and high-performance phase-field simulations are state-of-the-art approaches to clarifying dendrite solidification. However, major issues persist, such as the insufficiency of spatiotemporal resolution in experiments and lack of material properties in simulations. To overcome these issues, in this study, we developed a data assimilation system using an ensemble Kalman filter based on the phase-field lattice Boltzmann method as a simulation model for the dendrite solidification of binary alloys with liquid flow. The validity of the developed system was confirmed through twin experiments to infer the kinematic viscosity in a two-dimensional dendrite growth problem with forced convection.

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“…In recent years, a lot of efforts have been made to model and making a equation solver. For example, in terms of modeling, multiphase and multiscale [9,10] and phase-field-lattice Boltzmann [11] models have been developed, and in terms of making equation solver, adaptive mesh refinement [12,13] and parallel computing [14,15] methods have been presented. Nevertheless, compared with the above two steps, calculating parameters, and result storage and post-processing were often only briefly mentioned in most of published papers.…”

Section: Introductionmentioning

confidence: 99%

Parameter calculation and result storage for phase-field simulation in α-Mg dendrite growth of Mg-5-wt% Zn alloy

et al. 2023

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As two necessary steps in phase-field simulation, parameters calculation and results storage play an important role to ensure the accuracy of simulation results. A strategy of parameters calculation and results storage was presented for phase-field simulation in α-Mg dendrite growth of Mg-5wt%Zn alloy under isothermal solidification. Based on the phase diagram and empirical formulas, key parameters of the phase-field model (equilibrium partition coefficient k, liquidus slope m, solutal diffusion coefficient in liquid Dl , solutal diffusion coefficient in solid Ds , etc.) can be obtained. Both structured grid and structured point storage methods can be used to store simulation results, but using the latter method will reduce about 60% storage space and 37.5% storage time compared to the former. Finally, convergent simulation results of α-Mg dendrite growth were obtained and in good agreement with the optical micrograph of experimental results, which verify the accuracy of parameters and stability of storage methods.

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Phase-field-lattice Boltzmann method for dendritic growth with melt flow and thermosolutal convection–diffusion

Cited by 18 publications

References 52 publications

Numerical Investigation on the Deformation of the Free Interface During Water Entry and Exit of a Circular Cylinder by Using the Immersed Boundary-Multiphase Lattice Boltzmann Flux Solver

Numerical Investigation on the Deformation of the Free Interface During Water Entry and Exit of a Circular Cylinder by Using the Immersed Boundary-Multiphase Lattice Boltzmann Flux Solver

Data assimilation for dendritic solidification with melt convection: phase-field lattice Boltzmann study

Parameter calculation and result storage for phase-field simulation in α-Mg dendrite growth of Mg-5-wt% Zn alloy

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