Chinese Annals of Mathematics, Series B

, Volume 31, Issue 5, pp 743–758 | Cite as

Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows

  • Jie ShenEmail author
  • Xiaofeng Yang


Numerical approximations of Cahn-Hilliard phase-field model for the two-phase incompressible flows are considered in this paper. Several efficient and energy stable time discretization schemes for the coupled nonlinear Cahn-Hilliard phase-field system for both the matched density case and the variable density case are constructed, and are shown to satisfy discrete energy laws which are analogous to the continuous energy laws.


Phase-field Two-phase flow Navier-Stokes Cahn-Hilliard Energy stable 

2000 MR Subject Classification

65M12 65M70 65P99 65Z05 76T99 


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Copyright information

© Editorial Office of CAM (Fudan University) and Springer Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Department of MathematicsPurdue UniversityWest LafayetteUSA
  2. 2.Department of MathematicsUniversity of South CarolinaColumbiaUSA

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