Error estimates for time discretizations of Cahn–Hilliard and Allen–Cahn phase-field models for two-phase incompressible flows

Error estimates for time discretizations of Cahn–Hilliard and Allen–Cahn phase-field models for two-phase incompressible flows

We carry out rigorous error analysis for some energy stable time discretization schemes developed in Shen and Yang (SIAM J Sci Comput 32(3):1159–1179, 2010 ) for a Cahn–Hilliard phase-field model and in Shen and Yang (Chin Ann Math Ser B 31(5):743–758, 2010 ) for an Allen–Cahn phase-field model....

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Veröffentlicht in:Numerische Mathematik 2017-10, Vol.137 (2), p.417-449
Hauptverfasser: Cai, Yongyong, Choi, Heejun, Shen, Jie
Format: Artikel
Sprache:eng
Schlagworte:
Chin
Computational fluid dynamics
Discretization
Error analysis
Fluid flow
Incompressible flow
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Numerical Analysis
Numerical and Computational Physics
Simulation
Theoretical
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Zusammenfassung:We carry out rigorous error analysis for some energy stable time discretization schemes developed in Shen and Yang (SIAM J Sci Comput 32(3):1159–1179, 2010 ) for a Cahn–Hilliard phase-field model and in Shen and Yang (Chin Ann Math Ser B 31(5):743–758, 2010 ) for an Allen–Cahn phase-field model.
ISSN:0029-599X
0945-3245
DOI:10.1007/s00211-017-0875-9