Phase-field method for 2D dendritic growth

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2907, Issue , 2004, Pages 404-411

  Slavov, Vladimir ^a   Dimova, Stefka ^a   Iliev, Oleg ^b  

^a UNIVERSITY OF SOFIA   (Bulgaria)

^b FRAUNHOFER INSTITUTE FOR INDUSTRIAL MATHEMATICS ITWM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; LINEAR EQUATIONS; NONLINEAR EQUATIONS; NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS; PHASE TRANSITIONS;

DENDRITIC GROWTH; NONLINEAR REACTION-DIFFUSION EQUATIONS; NUMERICAL EXPERIMENTS; NUMERICAL RESULTS; PHASE FIELD METHODS; REGION OF STABILITIES; SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS; UNDERCOOLED MELT;

RUNGE KUTTA METHODS;

EID: 35048888509     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-24588-9_46     Document Type: Article

References (6)

1. G. Beckermann, H. Diepers, I. Steinbach, A. Karma and X.Tong: Modeling melt convection in phase-field simulations of solidification, J. Comput. Phys., 154 (1999) 468-496.
2. A. Karma and W.-J. Rappel: Phase-field method for computationally efficient modeling of solidification with arbitrary interface kinetics, Phys. Rev., E 53 (1996) 3017-3020.
3. A. Karma and W.-J. Rappel: Quantitative phase-field modeling of dendritic growth in two and three dimensions, Phys. Rev. E 57 (1998) 4323-4349.
4. Q. Li and C. Beckermann: Scaling behaviour of three dimensional dendrites, Phys. Rev. E 57 (1998) 3176-3188.
5. V. Novikov and E. Novikov: Stability control of explicit one-step methods for integration of ordinary differential equations, Dokl. Akad. Nauk SSSR, 272 (1984) 1058-1062.
6. X. Tong, C. Beckermann, A. Karma and Q.Li: Phase-field simulations of dendritic crystal growth in a forced flow, Phys. Rev. E 63 (2001) 061601-1-061601-15.