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Author:

Lee, Chaeyoung (Lee, Chaeyoung.) | Yoon, Sungha (Yoon, Sungha.) | Park, Jintae (Park, Jintae.) | Kim, Hyundong (Kim, Hyundong.) | Li, Yibao (Li, Yibao.) | Jeong, Darae (Jeong, Darae.) | Kim, Sangkwon (Kim, Sangkwon.) | Kwak, Soobin (Kwak, Soobin.) | Kim, Junseok (Kim, Junseok.)

Indexed by:

EI Scopus SCIE Engineering Village

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. © 2022 Elsevier Ltd

Keyword:

Anisotropy Crystal growth Finite difference method Ice Mesh generation Numerical methods Spheres

Author Community:

  • [ 1 ] [Lee, Chaeyoung]Department of Mathematics, Korea University, Seoul; 03760, Korea, Republic of
  • [ 2 ] [Yoon, Sungha]Institute of Mathematical Sciences, Ewha Womans University, Seoul; 30019, Korea, Republic of
  • [ 3 ] [Park, Jintae]Department of Mathematics, Korea University, Seoul; 03760, Korea, Republic of
  • [ 4 ] [Kim, Hyundong]Institute for the Advanced Study of Human Biology (WPI-ASHBi), Kyoto University Institute for Advanced Study, Kyoto University, Kyoto; 6068501, Japan
  • [ 5 ] [Li, Yibao]School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an; 710049, China
  • [ 6 ] [Jeong, Darae]Department of Mathematics, Kangwon National University, Gangwon-do, 24341, Korea, Republic of
  • [ 7 ] [Kim, Sangkwon]Department of Mathematics, Korea University, Seoul; 03760, Korea, Republic of
  • [ 8 ] [Kwak, Soobin]Department of Mathematics, Korea University, Seoul; 03760, Korea, Republic of
  • [ 9 ] [Kim, Junseok]Department of Mathematics, Korea University, Seoul; 03760, Korea, Republic of
  • [ 10 ] [Lee, Chaeyoung]Korea Univ, Dept Math, Seoul 03760, South Korea
  • [ 11 ] [Park, Jintae]Korea Univ, Dept Math, Seoul 03760, South Korea
  • [ 12 ] [Kim, Sangkwon]Korea Univ, Dept Math, Seoul 03760, South Korea
  • [ 13 ] [Kwak, Soobin]Korea Univ, Dept Math, Seoul 03760, South Korea
  • [ 14 ] [Kim, Junseok]Korea Univ, Dept Math, Seoul 03760, South Korea
  • [ 15 ] [Yoon, Sungha]Ewha Womans Univ, Inst Math Sci, Seoul 30019, South Korea
  • [ 16 ] [Kim, Hyundong]Kyoto Univ, Kyoto Univ Inst Adv Study, Inst Adv Study Human Biol WPI ASHBi, Kyoto 6068501, Japan
  • [ 17 ] [Li, Yibao]Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
  • [ 18 ] [Jeong, Darae]Kangwon Natl Univ, Dept Math, Chunchon 24341, Gangwon Do, South Korea

Reprint Author's Address:

  • [Kim, J.]Department of Mathematics, South Korea;;

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Source :

Computers and Mathematics with Applications

ISSN: 0898-1221

Year: 2022

Volume: 125

Page: 25-33

3 . 4 7 6

JCR@2020

ESI Discipline: MATHEMATICS;

ESI HC Threshold:4

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 8

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 11

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