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

Year:    2016

Communications in Computational Physics, Vol. 19 (2016), Iss. 5 : pp. 1542–1563

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.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.scpde14.45s

Communications in Computational Physics, Vol. 19 (2016), Iss. 5 : pp. 1542–1563

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    22

Keywords: