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An unconditionally stable second-order linear scheme for the Cahn-Hilliard-Hele-Shaw system
- Source :
- Applied Numerical Mathematics. 171:58-75
- Publication Year :
- 2022
- Publisher :
- Elsevier BV, 2022.
-
Abstract
- In this paper, we focus on the numerical approximation of the Cahn-Hilliard-Hele-Shaw system. Firstly, based on the idea of the stabilized method, an unconditionally stable linear scheme with second-order accuracy in time and space is proposed, which is modified from the Crank-Nicolson scheme. Secondly, we derive that the proposed numerical scheme is unconditionally stable, without any restriction for the time step size. After a careful calculation, we get discrete error estimates of the time step size τ and space step size h. Finally, numerical simulations of energy dissipation and spinodal decomposition are presented to demonstrate the stability, accuracy and efficiency of the proposed scheme.
Details
- ISSN :
- 01689274
- Volume :
- 171
- Database :
- OpenAIRE
- Journal :
- Applied Numerical Mathematics
- Accession number :
- edsair.doi...........39e0b4925ae16315d18a22f7f076878f