An adaptive time-stepping strategy for solving the phase field crystal model

Zhengru Zhang, Yuan Ma, Zhonghua Qiao

Research output: Journal article publicationJournal articleAcademic researchpeer-review

95 Citations (Scopus)


In this work, we will propose an adaptive time step method for simulating the dynamics of the phase field crystal (PFC) model. The numerical simulation of the PFC model needs long time to reach steady state, and then large time-stepping method is necessary. Unconditionally energy stable schemes are used to solve the PFC model. The time steps are adaptively determined based on the time derivative of the corresponding energy. It is found that the use of the proposed time step adaptivity cannot only resolve the steady state solution, but also the dynamical development of the solution efficiently and accurately. The numerical experiments demonstrate that the CPU time is significantly saved for long time simulations.
Original languageEnglish
Pages (from-to)204-215
Number of pages12
JournalJournal of Computational Physics
Publication statusPublished - 15 Sept 2013


  • Adaptive time-stepping
  • Phase field crystal model
  • Unconditionally energy stable

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy (miscellaneous)


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