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Energy Stable Schemes for Cahn-Hilliard Phase-FieldModel of Two-Phase Incompressible Flows |
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Citation: |
Jie SHEN,Xiaofeng YANG.Energy Stable Schemes for Cahn-Hilliard Phase-FieldModel of Two-Phase Incompressible Flows[J].Chinese Annals of Mathematics B,2010,31(5):743~758 |
Page view: 2303
Net amount: 1298 |
Authors: |
Jie SHEN; Xiaofeng YANG; |
Foundation: |
the National Science Foundation (No. DMS-0915066) |
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Abstract: |
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. |
Keywords: |
Phase-field, Two-phase flow, Navier-Stokes, Cahn-Hilliard, Energy stable |
Classification: |
65M12, 65M70, 65P99, 65Z05, 76T99 |
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