Triply periodic minimal surface using a modified Allen-Cahn equation

DOI10.1016/j.amc.2016.10.005zbMath1411.82029OpenAlexW2539283430MaRDI QIDQ1734732

Shimin Guo, Yibao Li

Publication date: 27 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.10.005

zbMATH Keywords

multigrid methodsecond order accuracytriply periodic minimal surfacemodified Allen-Cahnvolume fraction conservation

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items (13)

Linear and fully decoupled scheme for a hydrodynamics coupled phase-field surfactant system based on a multiple auxiliary variables approach ⋮ Unconditionally energy stable schemes for fluid-based topology optimization ⋮ Structural optimization of metamaterials based on periodic surface modeling ⋮ A phase field-based systematic multiscale topology optimization method for porous structures design ⋮ Unconditionally energy-stable time-marching methods for the multi-phase conservative Allen-Cahn fluid models based on a modified SAV approach ⋮ Numerical solutions of the Allen-Cahn equation with the \(p\)-Laplacian ⋮ Numerical investigation into the dependence of the Allen-Cahn equation on the free energy ⋮ Triply periodic minimal surfaces based topology optimization for the hydrodynamic and convective heat transfer ⋮ Highly efficient variant of SAV approach for the incompressible multi-component phase-field fluid models ⋮ An unconditional stable compact fourth-order finite difference scheme for three dimensional Allen-Cahn equation ⋮ First and second order unconditionally energy stable schemes for topology optimization based on phase field method ⋮ A stable second-order BDF scheme for the three-dimensional Cahn-Hilliard-Hele-Shaw system ⋮ An efficient linear second order unconditionally stable direct discretization method for the phase-field crystal equation on surfaces

Uses Software

• Surface Evolver

Cites Work

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