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.
Scopus Subject Areas
- Physics and Astronomy (miscellaneous)
- Adaptive time-stepping method
- Cahn-Hilliard equation
- convex splitting method
- Crank-Nicolson scheme