Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn-Hilliard equation

DOI10.1016/j.jcp.2020.109772OpenAlexW3080973674MaRDI QIDQ2123813

Cheng Wang, Jie Ouyang, Chenhui Zhang, Steven M. Wise

Publication date: 14 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2020.109772

zbMATH Keywords

fully implicit schemesFCH equationmeandering instabilitypearling instabilitySAV methodsunconditional modified-energy stability

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Related Items (18)

Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes ⋮ A general class of linear unconditionally energy stable schemes for the gradient flows ⋮ High-order supplementary variable methods for thermodynamically consistent partial differential equations ⋮ Second order, unconditionally stable, linear ensemble algorithms for the magnetohydrodynamics equations ⋮ A uniquely solvable, positivity-preserving and unconditionally energy stable numerical scheme for the functionalized Cahn-Hilliard equation with logarithmic potential ⋮ Efficient IMEX and consistently energy-stable methods of diffuse-interface models for incompressible three-component flows ⋮ Phase-field modeling and consistent energy-stable simulation of binary creeping flows in contact with solid ⋮ Highly efficient variant of SAV approach for the incompressible multi-component phase-field fluid models ⋮ Large time-stepping, delay-free, and invariant-set-preserving integrators for the viscous Cahn-Hilliard-Oono equation ⋮ A Scalar Auxiliary Variable (SAV) Finite Element Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Dynamic Boundary Conditions ⋮ Unconditionally energy stable second-order numerical schemes for the functionalized Cahn-Hilliard gradient flow equation based on the SAV approach ⋮ A Second-Order Energy Stable BDF Numerical Scheme for the Viscous Cahn-Hilliard Equation with Logarithmic Flory-Huggins Potential ⋮ Anderson Acceleration of Nonlinear Solvers for the Stationary Gross-Pitaevskii Equation ⋮ Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation ⋮ Highly accurate, linear, and unconditionally energy stable large time-stepping schemes for the functionalized Cahn-Hilliard gradient flow equation ⋮ Numerical study of the ternary Cahn-Hilliard fluids by using an efficient modified scalar auxiliary variable approach ⋮ Benchmark problems for the numerical schemes of the phase-field equations ⋮ Original variables based energy-stable time-dependent auxiliary variable method for the incompressible Navier-Stokes equation

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