A Level Set Based Finite Element Algorithm for the Simulation of Dendritic Growth

Fried M (2004)


Publication Type: Journal article

Publication year: 2004

Journal

Publisher: Springer Verlag

Book Volume: 7

Pages Range: 97-110

Journal Issue: 2

DOI: 10.1007/s00791-004-0141-4

Abstract

Dendritic growth is a nonlinear process, which falls into the category of self-organizing pattern formation phenomena. It is of great practical importance, since it appears frequently and, in the case of alloys, affects the engineering properties of the resulting solid. We describe a new finite element algorithm for the two-dimensional Stefan problem, where the free boundary is represented as a level set. This allows to handle topological changes of the free boundary. The accuracy of the method is verified and several numerical simulations, including topological changes of the free boundary, are presented. © Springer-Verlag 2004.

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How to cite

APA:

Fried, M. (2004). A Level Set Based Finite Element Algorithm for the Simulation of Dendritic Growth. Computing and Visualization in Science, 7(2), 97-110. https://dx.doi.org/10.1007/s00791-004-0141-4

MLA:

Fried, Michael. "A Level Set Based Finite Element Algorithm for the Simulation of Dendritic Growth." Computing and Visualization in Science 7.2 (2004): 97-110.

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