Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows
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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.
KeywordsPhase-field Two-phase flow Navier-Stokes Cahn-Hilliard Energy stable
2000 MR Subject Classification65M12 65M70 65P99 65Z05 76T99
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- Condette, N., Melcher, C. and Süli, E., Spectral approximation of pattern-forming nonlinear evolution equations with double-well potentials of quadratic growth, Math. Comp., to appear.Google Scholar
- Rannacher, R., On Chorin’s projection method for the incompressible Navier-Stokes equations, Lecture Notes in Mathematics, 1530, Springer-Verlag, Berlin, 1991.Google Scholar