Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation

Fuesheng Luo, Tao TANG*, Hehu Xie

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

It is known that large time-stepping method are useful for simulating phase field models. In this work, an adaptive time-stepping strategy is proposed based on numerical energy stability and equi-distribution principle. The main idea is to use the energy variation as an indicator to update the time step, so that the resulting algorithm is free of user-defined parameters, which is different from several existing approaches. Some numerical experiments are presented to illustrate the effectiveness of the algorithms.

Original languageEnglish
Pages (from-to)1542-1563
Number of pages22
JournalCommunications in Computational Physics
Volume19
Issue number5
DOIs
Publication statusPublished - 1 May 2016

Scopus Subject Areas

  • Physics and Astronomy (miscellaneous)

User-Defined Keywords

  • Adaptive time-stepping method
  • Cahn-Hilliard equation
  • convex splitting method
  • Crank-Nicolson scheme

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