Modeling of dendrite growth from undercooled nickel melt: sharp interface model versus enthalpy method

The dendritic growth of pure materials in undercooled melts is critical to understanding the fundamentals of solidification. This work investigates two new insights, the first is an advanced definition for the two-dimensional stability criterion of dendritic growth and the second is the viability of...

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Published inJournal of physics. Condensed matter Vol. 32; no. 19; p. 194002
Main Authors Kao, A, Toropova, L V, Alexandrov, D V, Demange, G, Galenko, P K
Format Journal Article
LanguageEnglish
Published England IOP Publishing [1989-....] 08.05.2020
Subjects
Chemical Sciences
Nonlinear Sciences
Physics
undercooled solidification
enthalpy method
analytic theory
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Summary:The dendritic growth of pure materials in undercooled melts is critical to understanding the fundamentals of solidification. This work investigates two new insights, the first is an advanced definition for the two-dimensional stability criterion of dendritic growth and the second is the viability of the enthalpy method as a numerical model. In both cases, the aim is to accurately predict dendritic growth behavior over a wide range of undercooling. An adaptive cell size method is introduced into the enthalpy method to mitigate against 'narrow-band features' that can introduce significant error. By using this technique an excellent agreement is found between the enthalpy method and the analytic theory for solidification of pure nickel.
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ISSN:0953-8984
1361-648X
DOI:10.1088/1361-648X/ab6aea