STUDY OF CRYSTAL GROWTH AND SOLUTE PRECIPITATION THROUGH |FRONT TRACKING METHOD

doi:10.1016/S0252-9602(10)60055-0

Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (2): 377-390.doi: 10.1016/S0252-9602(10)60055-0

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STUDY OF CRYSTAL GROWTH AND SOLUTE PRECIPITATION THROUGH |FRONT TRACKING METHOD

Xiaolin Li, James Glimm, Xiangmin Jiao, Charles Peyser, Yanhong Zhao

1. Department of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, NY 11794, USA；
2. Computational Science Center, Brookhaven National Laboratory, Upton, NY 11793, USA；
3. North Shore Hebrew Academy High School, Great Neck, NY 11020, USA

Received:2009-11-10 Online:2010-03-20 Published:2010-03-20
Supported by:
Xiaolin Li and Yanhong Zhao are supported in part by the ITAPS Award from US Department of Energy DEFC0206ER25770 and the ARO Award W911NF0910306. James Glimm is supported in part by the DOE subaward through RPI with the Prime Award DEFG0707ID14889. Xiangmin Jiao is supported in part by NSF
Award DMS0809285 and the ARO Award W911NF0910306.

Abstract

Abstract:

Crystal growth and solute precipitation is a Stefan problem. It is a free boundary problem for a parabolic partial
differential equation with a time-dependent phase interface. The velocity of the moving interface between solute and crystal is a local function. The dendritic structure of the crystal interface, which develops dynamically, requires high resolution of the interface geometry. These facts make the Lagrangian front tracking method well suited for the problem. In this paper, we introduce an upgraded version of the front tracking code and its associated algorithms for the numerical study of crystal formation. We compare our results with the smoothed particle hydrodynamics method (SPH) in terms of the crystal fractal dimension with its dependence on the Damkohler number and density ratio.

Key words: front tracking, crystal formation, fractal dimension

CLC Number:

74E25

Xiaolin Li, James Glimm, Xiangmin Jiao, Charles Peyser, Yanhong Zhao. STUDY OF CRYSTAL GROWTH AND SOLUTE PRECIPITATION THROUGH |FRONT TRACKING METHOD[J].Acta mathematica scientia,Series B, 2010, 30(2): 377-390.

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STUDY OF CRYSTAL GROWTH AND SOLUTE PRECIPITATION THROUGH |FRONT TRACKING METHOD

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