Second order threshold dynamics schemes for two phase motion by mean curvature
作者: Alexander ZaitzeffSelim EsedoḡluKrishna Garikipati
作者单位: 1Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA
2Departments of Mechanical Engineering, and Mathematics, Michigan Institute for Computational Discovery & Engineering, University of Michigan, Ann Arbor, MI 48109, USA
刊名: Journal of Computational Physics, 2020, Vol.410
来源数据库: Elsevier Journal
DOI: 10.1016/
关键词: Threshold dynamicsHigh order schemesMean curvature flowGrain boundary motion
原始语种摘要: Abstract(#br)The threshold dynamics algorithm of Merriman, Bence, and Osher is only first order accurate in the two-phase setting. Its accuracy degrades further to half order in the multi-phase setting, a shortcoming it has in common with other related, more recent algorithms such as the equal surface tension version of the Voronoi implicit interface method. As a first, rigorous step in addressing this shortcoming, we present two different second order accurate versions of two-phase threshold dynamics. Unlike in previous efforts in this direction, we present careful consistency calculations for both of our algorithms. The first algorithm is consistent with its limit (motion by mean curvature) up to second order in any space dimension. The second achieves second order accuracy only in...
全文获取路径: Elsevier  (合作)
影响因子:2.138 (2012)

  • curvature 曲率
  • motion 运动
  • threshold 阈值
  • order 
  • shortcoming 缺点
  • accurate 精确的
  • rigorous 严格
  • dynamics 动力学
  • dimension 测定
  • algorithm 算法