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Shi Dongyan, Wang Zhikai, Zhang Aman. A NOVEL LATTICE BOLTZMANN MODEL SIMULATING GAS-LIQUID TWO-PHASE FLOW[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(2): 224-233. DOI: 10.6052/0459-1879-13-243
Citation: Shi Dongyan, Wang Zhikai, Zhang Aman. A NOVEL LATTICE BOLTZMANN MODEL SIMULATING GAS-LIQUID TWO-PHASE FLOW[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(2): 224-233. DOI: 10.6052/0459-1879-13-243

A NOVEL LATTICE BOLTZMANN MODEL SIMULATING GAS-LIQUID TWO-PHASE FLOW

Funds: The project was supported by the National Natural Science Foundation of China (50939002) and the Scientists Fund for Outstanding Young Scholars of China (51222904).
  • Received Date: July 29, 2013
  • Revised Date: November 05, 2013
  • Based on the lattice Boltzmann free-energy model, a novel model is developed to simulate the gas-liquid two-phase flow with great density ratio in the viscous field. To improve the accuracy, the transfer rate control of the particle number density between two adjacent points is added to the original model, and the differential relaxation of the collision term is considered. Also, to avoid the numerical instability problems caused by the large density ratio, the six point and nine point differential schemes are used to solve ∇ and ∇2, respectively. Different from the traditional LBM implementation process, the single-step operation is divided into two steps in the paper. Unconsidering the gravity, the bubble motion is simulated and the results are compared with those from the exited models. It shows that the newly developed model has higher accuracy and numerical stability. Also, the deformation and the vortex formation of a rising bubble under gravity and the interaction of two bubbles in the horizontal and vertical directions are simulated. In the process, the mass conservation and the volume incompressibility are verified.
  • Bozzano G, Dente M. Shape and terminal velocity of single bubble motion: a novel approach. Computers & Chemical Engineering, 2001, 25: 571-576
    陈玮琪, 王宝寿, 易淑群 等. 非定常空泡闭合区域最大压力的理论研究. 力学学报, 2012, 44(4): 701-708 (Chen Weiqi, Wang Baoshou, Yi Shuqun, et al. A theoretical investigation on the maximum pressure of the unsteady cavity closure position. Chinese Journal of Theoretical and Applied Mechani, 2012, 44(4): 701-708 (in Chinese))
    Silvestre RG, Evert K, Boo CK, et al. Cavitation bubble dynamics in a liquid gap of variable height. Journal of Fluid Mechanics, 2011, 682: 241-260
    张阿漫, 姚熊亮. 近自由面水下爆炸气泡的运动规律研究. 物理学报, 2008, 57 (01): 339-353 (Zhang Aman, Yao Xiongliang. The law of the underwater explosion bubble motion near free surface. Acta Physica Sinica, 2008, 57 (01): 339-353 (in Chinese))
    王诗平, 孙士丽, 张阿漫等. 可压缩流场中气泡脉动数值模拟. 力学学报, 2012, 44(3): 513-519 (Wang Shiping, Sun Shili, Zhang A-man, et al. Numerical simulation of bubble dynamics in compressible fluid. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(3): 513-519 (in Chinese))
    Daniel L, Laszlo F. High-order surface tension Vof-model for 3D bubble flows with high density ratio. Journal of Computational Physics, 2004, 200: 153-176
    Mark S, Emad F, Peter S, et al. An improved level set method for incompressible two-phase flows. Computer & Fluids, 1998, 27: 663-680
    De Sousa FS, Mangiavacchi N, Nonato LG, et al. A front-tracking/front-capturing method for simulation of 3D multi-fluid flows with free surfaces. Journal of Computational Physics, 2004, 198: 469-499
    张阿漫, 王超, 王诗平等. 气泡与自由液面相互作用的实验研究. 物理学报, 2012, 61 (08): 084701 (Zhang Aman, Wang Chao, Wang Shiping, et al. Experimental study of interaction between bubble and free surface. Acta Physica Sinica, 2012, 61 (08): 084701 (in Chinese))
    Zhang AM, Yang WS, Huang C, et al. Numerical simulation of column charge underwater explosion based on SPH and BEM combination. Computers & Fluids, 2012, 71 (30): 169-178
    Lee TH, Lin CL. A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density radio. Journal of Computational Physics, 2005, 206: 16-47
    Swift MR, Orlandini E, Osborn WR, et al. Lattice Boltzmann simulations of liquid-gas and binary fluid systems. Physical Review E, 1996, 54 (5): 5041-5052
    Rothman DH, Keller JM. Immiscible cellular-automaton fluid. Journal of Statistical Physics, 1988, 52: 1119-1127
    Gunstensen AK, Rothman DH. Lattice Boltzmann model of immiscible fluids. Phys Rev A, 1991, 43: 4320-4327
    Shan XW, Chen HD. Lattice Boltzmann model for simulating flows with multiphases and components. Phys Rev E, 1993, 47 (3): 1815-1819
    Antonio L, Sauro S. A lattice Boltzmann for disordered fliuds. International Journal of Modern Physics B, 2003, 17 (1&2): 145-148
    Zheng HW, Shu C, Chew YT. A lattice Boltzmann model for multiphase flows with large density ratio. Journal of Computational Physics, 2006, 218(218): 353-371
    Qian YH, D'Humieres D, Lallemand P. Lattice BGK models for Navier-Stokes Equation. Europhysics Letters, 1992, 17 (6): 479-484
    Guo ZL, Zheng CG, Shi BC. Discrete lattice effects on the forcing term in the lattice Boltzmann method. Physical Review E, 2002, 65: 046308
    Inamuro T, Ogata T, Tajima S, et al. A lattice Boltzmann method for incompressible two-phase flows with large density differences. Journal of Computational Physics, 2004, 198 (198): 628-644
    Ghosh S, Das AK, Vajdya AA. Numerical study of dynamics of bubbles using lattice Boltzmann method. Industrial {& Engineering Chemistry Research, 2012, 51 (18): 6364-6376
    Fakhari A, Rahimian MH. Phase-field modeling by the method of lattice boltzmann equations. Physical Review E, 2010, 81 (3): 036707
    Hua JS, Lou J. Numerical simulation of bubble rising in viscous Liquid. Journal of Computational Physics, 2007, 222 (2): 769-795
    Ngachin M. Simulation of rising bubbles dynamics using the lattice Boltzmann method.[PhD Thesis]. Florida: Florida International University, 2011
    王诗平, 张阿漫, 刘云龙等. 同相气泡耦合特性实验研究. 力学学报, 2012, 44(1): 56-64 (Wang Shiping, Zhang Aman, Liu Yunlong, et, al. Experimental study on interaction of inphase bubbles. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(1): 56-64 (in Chinese))
    Takada N, Misawa M, Tomiyama A, et al. Numerical simulation of two-and three-dimensional two-phase fluid movement by lattice Boltzmann method. Computer Physics Communications, 2000, 129 (1): 233-246
    Cheng M, Hua JS, Lou J. Simulation of bubble-bubble interaction using a lattice Boltzmann method. Computers & Fluids, 2010, 39 (2): 260-270
    Yu Z, Yang H, Fan LS. Numerical simulation of bubble interactions using an adaptive lattice Boltzmann method. Chemical Engineering Science, 2011, 66 (14): 3441-3451
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