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  4. Adaptive phase field simulation of dendritic growth in a forced flow at various supercoolings
 
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Adaptive phase field simulation of dendritic growth in a forced flow at various supercoolings

Journal
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Journal Volume
65
Journal Issue
6
Date Issued
2002
Author(s)
Lan, C.W.
Hsu, C.M.
Liu, C.C.
Chang, Y.C.
CHUNG-WEN LAN  
DOI
10.1103/PhysRevE.65.061601
URI
https://scholars.lib.ntu.edu.tw/handle/123456789/444947
URL
https://www.scopus.com/inward/record.uri?eid=2-s2.0-38949191707&doi=10.1103%2fPhysRevE.65.061601&partnerID=40&md5=ca1b8995fb20f0670c484c2e622e093d
Abstract
An efficient finite volume method is developed for the phase-field simulation of two-dimensional dendritic growth in a forced flow at various supercoolings. The adaptive nature of the method allows the dendrite in a large domain to evolve secondary structures, even at low supercoolings. In addition to good agreement with previous calculations on the tip shape and speed, the effects of forced flow at various supercoolings are investigated and compared with the Oseen-Ivantsov solution and good agreement is found. The steady dendrite shape in all cases continues to have a self-affine nature and the invariant scaling parameters are in good agreement with the estimation.
Type
journal article

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