TY - JOUR T1 - Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation JO - Communications in Computational Physics VL - 5 SP - 1542 EP - 1563 PY - 2018 DA - 2018/04 SN - 19 DO - http://doi.org/10.4208/cicp.scpde14.45s UR - https://global-sci.org/intro/article_detail/cicp/11142.html KW - AB -

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.