A finite-volume sharp interface scheme for dendritic growth simulations: Comparison with microscopic solvability theory

H. S UDAYKUMAR; L MAO; R MITTAL

doi:10.1080/10407790190054003

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A finite-volume sharp interface scheme for dendritic growth simulations: Comparison with microscopic solvability theory

Journal article

Peer reviewed

A finite-volume sharp interface scheme for dendritic growth simulations: Comparison with microscopic solvability theory

H. S UDAYKUMAR, L MAO and R MITTAL

Numerical heat transfer. Part B, Fundamentals, Vol.42(5), pp.389-409

2002

DOI: 10.1080/10407790190054003

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Abstract

We present and validate a numerical technique for computing dendritic growth of crystals from pure melts. The solidification process is computed in the diffusion-driven limit. The governing equations are solved on a fixed Cartesian mesh and a mixed Eulerian-Lagrangian framework is used to treat the immersed phase boundary as a sharp solid-fluid interface. A conservative finite-volume discretization is employed which allows the boundary conditions to be applied exactly at the moving surface. The results from our calculations are compared with two-dimensional microscopic solvability theory. It is shown that the method predicts dendrite tip characteristics in good agreement with the theory. The sharp interface treatment allows discontinuous material property variation at the solid-liquid interface. Calculations with such discontinuities are also shown to produce results in agreement with solvability and with other sharp interface simulations.

Materials Science

Physics

Whiskers and dendrites (growth, structure, and nonelectronic properties)

Exact sciences and technology

Condensed matter: structure, mechanical and thermal properties

Whiskers and dendrites (growth,structure, and nonelectronic properties)

Methods of crystal growth; physics of crystal growth

Surfaces and interfaces; thin films and whiskers (structure and nonelectronic properties)

Growth from melts; zone melting and refining

Cross-disciplinary physics: materials science; rheology

Details

Title: Subtitle: A finite-volume sharp interface scheme for dendritic growth simulations: Comparison with microscopic solvability theory
Creators: H. S UDAYKUMAR - Department of Mechanical Engineering, University of Iowa, Iowa City, Iowa, United States
L MAO - Department of Mechanical Engineering, University of Iowa, Iowa City, Iowa, United States
R MITTAL - Department of Mechanical Engineering and Aersopace Engineering, George Washington University, Washington, DC, United States
Resource Type: Journal article
Publication Details: Numerical heat transfer. Part B, Fundamentals, Vol.42(5), pp.389-409
DOI: 10.1080/10407790190054003
ISSN: 1040-7790
eISSN: 1521-0626
Publisher: Taylor & Francis; Philadelphia, PA
Language: English
Date published: 2002
Academic Unit: Injury Prevention Research Center; Mechanical Engineering
Record Identifier: 9984064113202771

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