Sharp-interface simulation of dendritic growth with convection: benchmarks

H. S UDAYKUMAR; S MARELLA; S KRISHNAN

doi:10.1016/S0017-9310(03)00038-3

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Sharp-interface simulation of dendritic growth with convection: benchmarks

Journal article

Peer reviewed

Sharp-interface simulation of dendritic growth with convection: benchmarks

H. S UDAYKUMAR, S MARELLA and S KRISHNAN

International journal of heat and mass transfer, Vol.46(14), pp.2615-2627

2003

DOI: 10.1016/S0017-9310(03)00038-3

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Abstract

We present and validate a numerical technique for computing dendritic growth of crystals from pure melts in the presence of forced convection. The Navier-Stokes 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. Results are presented for a range of the growth parameters, namely crystalline anisotropy, flow Reynolds number and Prandtl number. Direct comparisons are made between the present results and those obtained with phase-field methods and excellent agreement is obtained. Values for the tip characteristics are tabulated to serve as benchmarks for computations of two-dimensional dendritic growth with convection.

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

Solid-fluid interfaces

Cross-disciplinary physics: materials science; rheology

Details

Title: Subtitle: Sharp-interface simulation of dendritic growth with convection: benchmarks
Creators: H. S UDAYKUMAR - Department of Mechanical and Industrial Engineering, 4116 Seamans Center for the Engineering Arts and Science, University of Iowa, Iowa City, IA 52242-1527, United States
S MARELLA - Department of Mechanical and Industrial Engineering, 4116 Seamans Center for the Engineering Arts and Science, University of Iowa, Iowa City, IA 52242-1527, United States
S KRISHNAN - Department of Mechanical and Industrial Engineering, 4116 Seamans Center for the Engineering Arts and Science, University of Iowa, Iowa City, IA 52242-1527, United States
Resource Type: Journal article
Publication Details: International journal of heat and mass transfer, Vol.46(14), pp.2615-2627
DOI: 10.1016/S0017-9310(03)00038-3
ISSN: 0017-9310
eISSN: 1879-2189
Publisher: Elsevier; Oxford
Language: English
Date published: 2003
Academic Unit: Injury Prevention Research Center; Mechanical Engineering
Record Identifier: 9984064587002771

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