Phase-field computations of anisotropic ice crystal growth on a spherical surface
- Authors
- Lee, Chaeyoung; Yoon, Sungha; Park, Jintae; Kim, Hyundong; Li, Yibao; Jeong, Darae; Kim, Sangkwon; Kwak, Soobin; Kim, Junseok
- Issue Date
- 1-11월-2022
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- Ice crystal growth; Phase-field model; Spherical surface
- Citation
- COMPUTERS & MATHEMATICS WITH APPLICATIONS, v.125, pp.25 - 33
- Indexed
- SCIE
SCOPUS
- Journal Title
- COMPUTERS & MATHEMATICS WITH APPLICATIONS
- Volume
- 125
- Start Page
- 25
- End Page
- 33
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/145636
- DOI
- 10.1016/j.camwa.2022.08.035
- ISSN
- 0898-1221
- Abstract
- In this paper, we present a numerical method for the phase-field model of anisotropic ice crystal growth on a spherical surface. The mathematical model includes terms related to the anisotropic interfacial energy, which is defined by the interface angle with respect to a reference angle. One of the natural numerical methods on curved surfaces is a computational technique based on a triangular mesh for the surface in a three-dimensional space. However, it is difficult to compute terms with the interface angle on a triangular mesh. To resolve this problem, we solve the governing equation in Cartesian coordinates after rotating each vertex and the 1-ring neighborhood of the vertex on the triangular mesh. After rotation and interpolation, we numerically solve the phase-field model using a standard finite difference method. We present the results of several tests to demonstrate that the proposed algorithm can recover anisotropic ice crystal growth on a spherical surface.
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Collections - College of Science > Department of Mathematics > 1. Journal Articles
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