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Multiphase lattice Boltzmann flux solver with conservative model for modeling high-density-ratio flows. (English) Zbl 07882716

MSC:

76-XX Fluid mechanics
65-XX Numerical analysis
Full Text: DOI

References:

[1] VempatiB, OztekinA, NetiS. Stability of two‐layered fluid flows in an inclined channel. Acta Mech. 2010;209:187‐199. · Zbl 1381.76244
[2] ProsperettiA, TryggvasonG. Computational Methods for Multiphase Flow. Cambridge University Press; 2009.
[3] CroweCT, SchwarzkopfJD, SommerfeldM, TsujiY. Multiphase Flows with Droplets and Particles. CRC Press; 2011.
[4] FoxRO. Large‐eddy‐simulation tools for multiphase flows. Annu Rev Fluid Mech. 2012;44:47‐76. · Zbl 1356.76123
[5] SaurelR, AbgrallR. A multiphase Godunov method for compressible multifluid and multiphase flows. J Comput Phys. 1999;150:425‐467. · Zbl 0937.76053
[6] XieB, JinP, XiaoF. An unstructured‐grid numerical model for interfacial multiphase fluids based on multi‐moment finite volume formulation and THINC method. Int J Multiph Flow. 2017;89:375‐398.
[7] ZimmermanWB. Multiphysics Modeling with Finite Element Methods. World Scientific Publishing Company; 2006. · Zbl 1109.65004
[8] MorrisJP. Simulating surface tension with smoothed particle hydrodynamics. Int J Numer Methods Fluids. 2000;33:333‐353. · Zbl 0985.76072
[9] ChenL, KangQ, MuY, HeY‐L, TaoW‐Q. A critical review of the pseudopotential multiphase lattice Boltzmann model: methods and applications. Int J Heat Mass Transf. 2014;76:210‐236.
[10] HuangH, SukopM, LuX. Multiphase Lattice Boltzmann Methods: Theory and Application; 2015. John Wiley & Sons.
[11] LiuC, WangZ, XuK. A unified gas‐kinetic scheme for continuum and rarefied flows VI: dilute disperse gas‐particle multiphase system. J Comput Phys. 2019;386:264‐295. · Zbl 1452.76213
[12] HeX, DoolenGD. Thermodynamic foundations of kinetic theory and lattice Boltzmann models for multiphase flows. J Stat Phys. 2002;107:309‐328. · Zbl 1007.82020
[13] WangY, ShuC, HuangH, TeoCJ. Multiphase lattice Boltzmann flux solver for incompressible multiphase flows with large density ratio. J Comput Phys. 2015;280:404‐423. · Zbl 1349.76746
[14] YangL, WangY, ChenZ, ShuC. Lattice Boltzmann and Gas Kinetic Flux Solvers: Theory and Applications. World Scientific; 2020. · Zbl 1440.76001
[15] HirtCW, NicholsBD. Volume of fluid (VOF) method for the dynamics of free boundaries. J Comput Phys. 1981;39:201‐225. · Zbl 0462.76020
[16] AndersonDM, McFaddenGB, WheelerAA. Diffuse‐interface methods in fluid mechanics. Annu Rev Fluid Mech. 1998;30:139‐165. · Zbl 1398.76051
[17] OsherS, FedkiwR, PiechorK. Level set methods and dynamic implicit surfaces. Appl Mech Rev. 2004;57:B15.
[18] TryggvasonG, BunnerB, EsmaeeliA, et al. A front‐tracking method for the computations of multiphase flow. J Comput Phys. 2001;169:708‐759. · Zbl 1047.76574
[19] YuanH, ChenZ, ShuC, WangY, NiuX, ShuS. A free energy‐based surface tension force model for simulation of multiphase flows by level‐set method. J Comput Phys. 2017;345:404‐426. · Zbl 1378.76120
[20] HuangJ‐J, ZhangL. Simplified method for wetting on curved boundaries in conservative phase‐field lattice‐Boltzmann simulation of two‐phase flows with large density ratios. Phys Fluids. 2022;34:082101.
[21] SatoK, KoshimuraS. A filtering approach for the conservative Allen-Cahn equation solved by the lattice Boltzmann method and a numerical study of the interface thickness. Int J Multiph Flow. 2023;167:104554.
[22] WangY, ShuC, YangL. An improved multiphase lattice Boltzmann flux solver for three‐dimensional flows with large density ratio and high Reynolds number. J Comput Phys. 2015;302:41‐58. · Zbl 1349.76747
[23] YangL, ShuC, ChenZ, WangY, HouG. A simplified lattice Boltzmann flux solver for multiphase flows with large density ratio. Int J Numer Methods Fluids. 2021;93:1895‐1912.
[24] LuJ, AdamsNA, YuP. Analysis and reconstruction of the multiphase lattice Boltzmann flux solver for multiphase flows with large density ratios. Phys Rev E. 2022;106:045305.
[25] ShiY, TangG, WangY. Simulation of three‐component fluid flows using the multiphase lattice Boltzmann flux solver. J Comput Phys. 2016;314:228‐243. · Zbl 1349.76733
[26] YanH, ZhangG, XiaoY, HuiD, WangS. A surface flux correction‐based immersed boundary‐multiphase lattice Boltzmann flux solver applied to multiphase fluids-structure interaction. Comput Methods Appl Mech Eng. 2022;400:115481. · Zbl 1507.76003
[27] ChenG‐Q, ZhangA, LiuN‐N, WangY. Development of an immersed boundary‐multiphase lattice Boltzmann flux solver with high density ratio for contact line dynamics. Phys Fluids. 2021;33:057101.
[28] ChenZ, ShuC, WangY, YangL. Oblique drop impact on thin film: splashing dynamics at moderate impingement angles. Phys Fluids. 2020;32:033303.
[29] LiY, NiuX‐D, KhanA, LiD‐C, YamaguchiH. A numerical investigation of dynamics of bubbly flow in a ferrofluid by a self‐correcting procedure‐based lattice Boltzmann flux solver. Phys Fluids. 2019;31:082107.
[30] YanH, ZhangG, RaoH, SongH, SunZ. An explicit velocity correction‐based immersed boundary‐hybrid lattice Boltzmann flux solver for fluid-structure interaction with large solid deformation. Ocean Eng. 2023;270:113655.
[31] YueP, ZhouC, FengJJ. Spontaneous shrinkage of drops and mass conservation in phase‐field simulations. J Comput Phys. 2007;223:1‐9. · Zbl 1115.76077
[32] YuanH, WangY, ShuC. An adaptive mesh refinement‐multiphase lattice Boltzmann flux solver for simulation of complex binary fluid flows. Phys Fluids. 2017;29:123604.
[33] YuanHZ, LiuQ, ZengG. An adaptive mesh refinement‐multiphase lattice Boltzmann flux solver for three‐dimensional simulation of droplet collision. Int J Numer Methods Fluids. 2022;94:443‐460.
[34] WangY, ShuC, ShaoJ, WuJ, NiuX. A mass‐conserved diffuse interface method and its application for incompressible multiphase flows with large density ratio. J Comput Phys. 2015;290:336‐351. · Zbl 1349.76549
[35] BronsardL, StothB. Volume‐preserving mean curvature flow as a limit of a nonlocal Ginzburg‐Landau equation. SIAM J Math Anal. 1997;28:769‐807. · Zbl 0874.35009
[36] RubinsteinJ, SternbergP. Nonlocal reaction-diffusion equations and nucleation. IMA J Appl Math. 1992;48:249‐264. · Zbl 0763.35051
[37] SchwarzmeierC, HolzerM, MitchellT, LehmannM, HäuslF, RüdeU. Comparison of free‐surface and conservative Allen-Cahn phase‐field lattice Boltzmann method. J Comput Phys. 2023;473:111753. · Zbl 07625422
[38] ZhangA, SuD, LiC, ZhangY, JiangB, PanF. Investigation of bubble dynamics in a micro‐channel with obstacles using a conservative phase‐field lattice Boltzmann method. Phys Fluids. 2022;34:043312.
[39] LeeT, LinC‐L. A stable discretization of the lattice Boltzmann equation for simulation of incompressible two‐phase flows at high density ratio. J Comput Phys. 2005;206:16‐47. · Zbl 1087.76089
[40] LiuX, ChaiZ, ShiB. A phase‐field‐based lattice Boltzmann modeling of two‐phase electro‐hydrodynamic flows. Phys Fluids. 2019;31:092103.
[41] De RosisA, EnanE. A three‐dimensional phase‐field lattice Boltzmann method for incompressible two‐components flows. Phys Fluids. 2021;33:043315.
[42] ZhangX, LiuH, ZhangJ. A new capillary force model implemented in lattice Boltzmann method for gas-liquid-solid three‐phase flows. Phys Fluids. 2020;32:103301.
[43] LeeD, KimJ. Comparison study of the conservative Allen-Cahn and the Cahn-Hilliard equations. Math Comput Simul. 2016;119:35‐56. · Zbl 1540.82010
[44] HuY, LiD, JinL, NiuX, ShuS. Hybrid Allen‐Cahn‐based lattice Boltzmann model for incompressible two‐phase flows: the reduction of numerical dispersion. Phys Rev E. 2019;99:023302.
[45] SunY, BeckermannC. Sharp interface tracking using the phase‐field equation. J Comput Phys. 2007;220:626‐653. · Zbl 1228.76110
[46] ChiuP‐H, LinY‐T. A conservative phase field method for solving incompressible two‐phase flows. J Comput Phys. 2011;230:185‐204. · Zbl 1427.76201
[47] WangH, ChaiZ, ShiB, LiangH. Comparative study of the lattice Boltzmann models for Allen‐Cahn and Cahn‐Hilliard equations. Phys Rev E. 2016;94:033304.
[48] HeX, ChenS, ZhangR. A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability. J Comput Phys. 1999;152:642‐663. · Zbl 0954.76076
[49] Dinesh KumarE, SannasirajSA, SundarV. Phase field lattice Boltzmann model for air‐water two phase flows. Phys Fluids. 2019;31:072103.
[50] XuX, HuY, DaiB, et al. Modified phase‐field‐based lattice Boltzmann model for incompressible multiphase flows. Phys Rev E. 2021;104:035305.
[51] FakhariA, MitchellT, LeonardiC, BolsterD. Improved locality of the phase‐field lattice‐Boltzmann model for immiscible fluids at high density ratios. Phys Rev E. 2017;96:053301.
[52] LiQ‐Z, LuZ‐L, ChenZ, et al. An efficient simplified phase‐field lattice Boltzmann method for super‐large‐density‐ratio multiphase flow. Int J Multiph Flow. 2022;160:104368.
[53] AlandS, VoigtA. Benchmark computations of diffuse interface models for two‐dimensional bubble dynamics. Int J Numer Methods Fluids. 2012;69:747‐761.
[54] HysingS, TurekS, KuzminD, et al. Quantitative benchmark computations of two‐dimensional bubble dynamics. Int J Numer Methods Fluids. 2009;60:1259‐1288. · Zbl 1273.76276
[55] JosserandC, ZaleskiS. Droplet splashing on a thin liquid film. Phys Fluids. 2003;15:1650‐1657. · Zbl 1186.76263
[56] LiangH, XuJ, ChenJ, WangH, ChaiZ, ShiB. Phase‐field‐based lattice Boltzmann modeling of large‐density‐ratio two‐phase flows. Phys Rev E. 2018;97:033309.
[57] WuY, GuiN, YangX, TuJ, JiangS. A decoupled and stabilized lattice Boltzmann method for multiphase flow with large density ratio at high Reynolds and Weber numbers. J Comput Phys. 2021;426:109933. · Zbl 07510050
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