A positivity preserving, energy stable finite difference scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system

DOI10.1007/s10915-022-01872-1OpenAlexW4283072868MaRDI QIDQ2149514

Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang

Publication date: 29 June 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-022-01872-1

zbMATH Keywords

energy stabilitypositivity preservingnumerical accuracymonotonicity analysisCahn-Hilliard-Navier-Stokes systemFlory-Huggins energy potential

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) 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) Numerical analysis (65-XX)

Related Items (4)

Optimal rate convergence analysis of a numerical scheme for the ternary Cahn-Hilliard system with a Flory-Huggins-deGennes energy potential ⋮ Convergence of a Decoupled Splitting Scheme for the Cahn–Hilliard–Navier–Stokes System ⋮ Energy dissipative and positivity preserving schemes for large-convection ion transport with steric and solvation effects ⋮ A maximum bound principle preserving iteration technique for a class of semilinear parabolic equations

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