Fully-discrete, decoupled, second-order time-accurate and energy stable finite element numerical scheme of the Cahn-Hilliard binary surfactant model confined in the Hele-Shaw cell

DOI10.1051/m2an/2022003zbMath1491.65105OpenAlexW4205239586MaRDI QIDQ5066870

Xiao-Feng Yang

Publication date: 31 March 2022

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2022003

zbMATH Keywords

finite elementHele-Shaw cellsecond-orderCahn-Hilliardfully-discretefluid-surfactant

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Other free boundary flows; Hele-Shaw flows (76D27) Integro-partial differential equations (35R09)

Related Items (3)

Fully discrete, decoupled and energy-stable Fourier-spectral numerical scheme for the nonlocal Cahn-Hilliard equation coupled with Navier-Stokes/Darcy flow regime of two-phase incompressible flows ⋮ The subdivision-based IGA-EIEQ numerical scheme for the binary surfactant Cahn-Hilliard phase-field model on complex curved surfaces ⋮ Second-order rotational velocity correction projection finite element method for unsteady MHD coupled heat equation

Uses Software

• FreeFem++

Cites Work

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