Eck C, Knabner P (2002)
Publication Type: Book chapter / Article in edited volumes
Publication year: 2002
Publisher: Springer
Edited Volumes: High Performance Scientific And Engineering Computing
Series: Lecture Notes in Computational Science and Engineering
City/Town: Berlin, Heidelberg
Book Volume: 21
Pages Range: 237-244
ISBN: 978-3-540-42946-3
URI: http://link.springer.com/chapter/10.1007%2F978-3-642-55919-8_26
DOI: 10.1007/978-3-642-55919-8_26
A two—scale model for liquid—solid phase transitions with equiaxed dendritic microstructure for binary material with slow solute diffusion is presented. The model consists of a macroscopic energy transport equation, coupled with local cell problems describing the evolution of the microstructure and the microsegregation. It is derived by an asymptotic expansion of a sharp interface model with Gibbs—Thomson effect. A discretization of the model leading to a two—scale method for such problems is presented, and a numerical example is given
APA:
Eck, C., & Knabner, P. (2002). A Two—Scale Method for Liquid—Solid Phase Transitions with Dendritic Microstructure. In Michael Breuer, Franz Durst, Christoph Zenger (Eds.), High Performance Scientific And Engineering Computing. (pp. 237-244). Berlin, Heidelberg: Springer.
MLA:
Eck, Christof, and Peter Knabner. "A Two—Scale Method for Liquid—Solid Phase Transitions with Dendritic Microstructure." High Performance Scientific And Engineering Computing. Ed. Michael Breuer, Franz Durst, Christoph Zenger, Berlin, Heidelberg: Springer, 2002. 237-244.
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