A conservative Allen-Cahn equation with a curvature-dependent Lagrange multiplier

DOI10.1016/j.aml.2021.107838OpenAlexW4200492180MaRDI QIDQ2077061

Soobin Kwak, Junseok Kim, Junxiang Yang

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.2021.107838

zbMATH Keywords

conservative Allen-Cahn equationFourier-spectral methodstructure-preserving model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Reaction-diffusion equations (35K57) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (7)

Unconditionally energy-stable time-marching methods for the multi-phase conservative Allen-Cahn fluid models based on a modified SAV approach ⋮ Energy quadratization Runge-Kutta scheme for the conservative Allen-Cahn equation with a nonlocal Lagrange multiplier ⋮ Maximum principle preserving and unconditionally stable scheme for a conservative Allen-Cahn equation ⋮ A radial basis function approximation method for conservative Allen-Cahn equations on surfaces ⋮ Numerical simulation for the conserved Allen-Cahn phase field model of two-phase incompressible flows by an efficient dimension splitting method ⋮ A simple and efficient numerical method for the Allen-Cahn equation on effective symmetric triangular meshes ⋮ A second order accurate SAV numerical method for the nonlocal ternary conservative Allen-Cahn model

Cites Work

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