Kao, A ORCID: 0000-0002-6430-2134 , Toropova, L V, Alexandrov, D V, Demange, G and Galenko, P K (2020) Modeling of dendrite growth from undercooled nickel melt: sharp interface model versus enthalpy method. Journal of Physics: Condensed Matter, 32 (19):194002. ISSN 0953-8984 (Print), 1361-648X (Online) (doi:https://doi.org/10.1088/1361-648X/ab6aea)

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Abstract

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.

Item Type:	Article
Uncontrolled Keywords:	undercooled solidification, enthalpy method, analytic theory
Subjects:	Q Science > QA Mathematics
Faculty / School / Research Centre / Research Group:	Faculty of Engineering & Science > Centre for Numerical Modelling & Process Analysis (CNMPA) Faculty of Engineering & Science > Centre for Numerical Modelling & Process Analysis (CNMPA) > Computational Science & Engineering Group (CSEG) Faculty of Engineering & Science > School of Computing & Mathematical Sciences (CMS) Faculty of Engineering & Science
Last Modified:	04 Mar 2022 13:06
URI:	http://gala.gre.ac.uk/id/eprint/26692

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