Abstract
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
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References
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Eck, Ch., Knabner, P., Korotov, S. (2001) A two—scale method for the computation of solid—liquid phase transitions with dendritic microstructure. Preprint, Institute for Applied Mathematics, University of Erlangen—Nürnberg
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Eck, C., Knabner, P. (2002). A Two—Scale Method for Liquid—Solid Phase Transitions with Dendritic Microstructure. In: Breuer, M., Durst, F., Zenger, C. (eds) High Performance Scientific And Engineering Computing. Lecture Notes in Computational Science and Engineering, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55919-8_26
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DOI: https://doi.org/10.1007/978-3-642-55919-8_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42946-3
Online ISBN: 978-3-642-55919-8
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