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

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

Kao, Andrew ORCID: 0000-0002-6430-2134, Toropova, Liubov V., Alexandrov, Dmitri, Demange, Gilles and Galenko, Peter (2020) Modeling of dendrite growth from undercooled nickel melt: sharp interface model versus enthalpy method. Journal of Physics: Condensed Matter. ISSN 0953-8984 (In Press) (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 / Department / Research Group: Faculty of Liberal Arts & Sciences
Faculty of Liberal Arts & Sciences > Centre for Numerical Modelling & Process Analysis (CNMPA)
Faculty of Liberal Arts & Sciences > Centre for Numerical Modelling & Process Analysis (CNMPA) > Computational Science & Engineering Group (CSEG)
Faculty of Liberal Arts & Sciences > Department of Mathematical Sciences
Last Modified: 16 Jan 2020 12:56
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
URI: http://gala.gre.ac.uk/id/eprint/26692

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