New efficient and unconditionally energy stable schemes for the Cahn-Hilliard-Brinkman system

DOI10.1016/j.aml.2022.107918OpenAlexW4206457962MaRDI QIDQ2077098

Nan Zheng, Xiao-Li Li

Publication date: 22 February 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.107918

zbMATH Keywords

unconditionally energy stablescalar auxiliary variableCahn-Hilliard-Brinkman

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) 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)

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Cites Work

• Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations
• A second order in time, decoupled, unconditionally stable numerical scheme for the Cahn-Hilliard-Darcy system
• The scalar auxiliary variable (SAV) approach for gradient flows
• A highly efficient and accurate exponential semi-implicit scalar auxiliary variable (ESI-SAV) approach for dissipative system
• Error analysis of the SAV Fourier-spectral method for the Cahn-Hilliard-Hele-Shaw system
• Efficient modified techniques of invariant energy quadratization approach for gradient flows
• An efficient, unconditionally energy stable local discontinuous Galerkin scheme for the Cahn-Hilliard-Brinkman system
• Theoretical studies of phase-separation kinetics in a Brinkman porous medium
• An Efficient, Energy Stable Scheme for the Cahn-Hilliard-Brinkman System
• Stability and Error Analysis of a Class of High-Order IMEX Schemes for Navier--Stokes Equations with Periodic Boundary Conditions
• The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing

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