A lattice Boltzmann model for anisotropic crystal growth from melt

被引:88
作者
Miller, W
Succi, S
机构
[1] Inst Kristallzuchtung, IKZ, D-12489 Berlin, Germany
[2] CNR, Ist Applicaz Calcolo, I-00161 Rome, Italy
关键词
lattice Boltzmann equation; dendrites; crystal growth;
D O I
10.1023/A:1014510704701
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We coupled the lattice Boltzmann method with enhanced collisions for hydrodynamics with a model for the anisotropic liquid/solid phase transition. The model is based on a simple reaction model. As a test we have performed calculations for dendritic growth of a crystal into an undercooled melt.
引用
收藏
页码:173 / 186
页数:14
相关论文
共 28 条
[1]   A phase-field model with convection: sharp-interface asymptotics [J].
Anderson, DM ;
McFadden, GB ;
Wheeler, AA .
PHYSICA D-NONLINEAR PHENOMENA, 2001, 151 (2-4) :305-331
[2]  
[Anonymous], INTERFACES FREE BOUN
[3]  
[Anonymous], 1988, DYNAMICS CURVED FRON
[4]   Modeling melt convection in phase-field simulations of solidification [J].
Beckermann, C ;
Diepers, HJ ;
Steinbach, I ;
Karma, A ;
Tong, X .
JOURNAL OF COMPUTATIONAL PHYSICS, 1999, 154 (02) :468-496
[5]   THE LATTICE BOLTZMANN-EQUATION - THEORY AND APPLICATIONS [J].
BENZI, R ;
SUCCI, S ;
VERGASSOLA, M .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1992, 222 (03) :145-197
[6]   PHASE FIELD COMPUTATIONS OF SINGLE-NEEDLE CRYSTALS, CRYSTAL-GROWTH, AND MOTION BY MEAN-CURVATURE [J].
CAGINALP, G ;
SOCOLOVSKY, E .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1994, 15 (01) :106-126
[7]  
CAGINALP G, 1985, LECT NOTES PHYS, V216, P216
[8]   THE ROLE OF MICROSCOPIC ANISOTROPY IN THE MACROSCOPIC BEHAVIOR OF A PHASE-BOUNDARY [J].
CAGINALP, G .
ANNALS OF PHYSICS, 1986, 172 (01) :136-155
[9]   DIFFUSION AND HYDRODYNAMIC DISPERSION WITH THE LATTICE BOLTZMANN METHOD [J].
CALI, A ;
SUCCI, S ;
CANCELLIERE, A ;
BENZI, R ;
GRAMIGNANI, M .
PHYSICAL REVIEW A, 1992, 45 (08) :5771-5774
[10]   RECOVERY OF THE NAVIER-STOKES EQUATIONS USING A LATTICE-GAS BOLTZMANN METHOD [J].
CHEN, HD ;
CHEN, SY ;
MATTHAEUS, WH .
PHYSICAL REVIEW A, 1992, 45 (08) :R5339-R5342