Lattice Boltzmann方法在枝晶生长模拟中的应用
Application of Lattice Boltzmann Method in Modeling of Dendritic Growth
摘 要
将模拟流场和浓度场的Lattice Boltzmann方法(LBM)和一个模拟枝晶生长的改进 cellular automaton (MCA)模型相耦合,模拟了合金凝固过程中单枝晶在纯扩散和存在对流两种条件下的生长行为.结果表明:在纯扩散条件下,枝晶呈现对称生长形貌;但存在对流时,枝晶的生长在上游方向得到促进,而在下游方向受到抑制,形成了非对称的枝晶生长形貌.模拟的纯扩散和对流枝晶形貌与前期的MCA-传输模型的模拟结果吻合较好.
Lattice Boltzmann方法
枝晶生长
modeling
Lattice Boltzmann Method
dendritic growth
Abstract
The Lattice Boltzmann Method(LBM)was coupled with a modified cellular automaton (MCA) model to simulate dendritic growth during alloy solidification with and without fluid flow.In the model,the LBM and MCA were adopted for simulating flow field,solutal field and dendritic growth,respectively.The simulated results show that under a pure diffusion circumstance,dendrite shapes are symmetric.However,in the presence of melt convection,dendritic growth is promoted on the upstream side and inhibited on the downstream side,leading to asymmetric growth features of convective dendrites.The simulated pure diffusive and convective dendritic features agree with that simulated by the previous MCA-transport model.
中图分类号 TG244
所属栏目
基金项目 国家自然科学基金资助项目(50371015)
收稿日期 2006/3/9
修改稿日期 2006/10/16
网络出版日期
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备注苏敏(1979-),女,内蒙古五原人,硕士研究生.
引用该论文: SU Min,SUN Dong-ke,ZHU Ming-fang. Application of Lattice Boltzmann Method in Modeling of Dendritic Growth[J]. Materials for mechancial engineering, 2007, 31(2): 75～78
苏敏,孙东科,朱鸣芳. Lattice Boltzmann方法在枝晶生长模拟中的应用[J]. 机械工程材料, 2007, 31(2): 75～78
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参考文献
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【2】Chen H D,Chen S Y,William H M.Recovery of the Navier-Stokes equations using a Lattice Boltzmann Method[J].Physical Review A,1992,45:5339-5342.Miller W,Succi S,Mansutti D.Lattice Boltzmann Model for anisotropic liquid-solid phase transition[J].Physical Review Letters,2001,86:3578-3581.
【3】Miller W.The Lattice Boltzmann Method:a new tool for numerical simulation of the interaction of growth kinetics and melt flow[J].Journal of Crystal Growth,2001,230:263-269.
【4】Igor E,Sauro S,Miller W.A multi-relaxation Lattice Kinetic Method for passive scalar diffusion[J].Journal of Computational Physics,2005,206:453-462.
【5】Yu D,Mei R,Shyy W.Improved treatment of the open boundary in the method of Lattice Boltzmann equation[J].Progress in Computational Fluid Dynamics,2005,5:3-12.
【6】Zou Q,He X.On pressure and velocity boundary conditions for the Lattice Boltzmann BGK model[J].Phys Fluids.1997,9(6):1591-1598.
【7】胡心膂,郭照立,郑楚光.格子Boltzmann模型的边界条件分析[J].水动力学研究与进展,2003,18(2):127-134.
【8】朱鸣芳,陈 晋,孙国雄,等.枝晶生长的数值模拟[J].金属学报,2005,41(6):583-587.
【9】Miller W,Succi S.A Lattice Boltzmann Model for anisotropic crystal growth from melt[J].Journal of Statistical Physics,2002,107(4):173-186.
【10】Zhu M F,Lee S Y,Hong C P.Modified cellular automaton model for the prediction of dendritic growth with melt convection[J].Physical Review E,2004,69:610-616.
【11】Zhu M F,Dai T,Lee S Y,et al.Modeling of dendritic growth in the presence of convection[J].Science in China Series E,2005,48(3):241-257.
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