Study of Crystal Growth and Solute Precipitation through Front Tracking Method

Journal Article · Mon Mar 01 04:00:00 EST 2010 · Acta Mathematica Scientia

DOI:https://doi.org/10.1016/S0252-9602(10)60055-0· OSTI ID:1040423

Li, X; Glimm, J; Jiao, X

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.

• Research Organization: BROOKHAVEN NATIONAL LABORATORY (BNL)
• Sponsoring Organization: USDOE SC OFFICE OF SCIENCE (SC)
• DOE Contract Number: AC02-98CH10886
• OSTI ID: 1040423
• Report Number(s): BNL--91418-2010-JA; KJ04030000
• Journal Information: Acta Mathematica Scientia, Journal Name: Acta Mathematica Scientia Journal Issue: 2 Vol. 30; ISSN 0252-9602
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
ALGORITHMS
CRYSTAL GROWTH
DIMENSIONS
FRACTALS
GEOMETRY
HYDRODYNAMICS
LAGRANGIAN FUNCTION
PARTIAL DIFFERENTIAL EQUATIONS
PRECIPITATION
RESOLUTION
SOLUTES
VELOCITY
crystal formation
fractal dimension
front tracking