Eck C, Knabner P, Korotov S (2002)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2002
Publisher: Elsevier
Book Volume: 178
Pages Range: 58-80
Journal Issue: 1
A two-scale model for liquid-solid phase transitions with equiaxed dendritic microstructure in binary material in the case of slow solute diffusion is presented. The model consists of a macroscopic energy transport equation and, for each point of the macroscopic domain, a local cell problem describing the evolution of the microstructure and the microsegregation. It is derived by formal homogenization of a sharp interface model, including the Gibbs-Thomson law and kinetic undercooling. Based on the two-scale model, a numerical two-scale method for the simulation of phase transitions with dendritic microstructure is developed, and numerical examples are presented. © 2002 Elsevier Science (USA).
APA:
Eck, C., Knabner, P., & Korotov, S. (2002). A two-scale method for the computation of solid-liquid phase transitions with dendritic microstructure. Journal of Computational Physics, 178(1), 58-80. https://dx.doi.org/10.1006/jcph.2002.7018
MLA:
Eck, Christof, Peter Knabner, and Sergey Korotov. "A two-scale method for the computation of solid-liquid phase transitions with dendritic microstructure." Journal of Computational Physics 178.1 (2002): 58-80.
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