A multigrid solver for phase field simulation of microstructure evolution

DOI10.1016/j.matcom.2009.10.007zbMath1191.82035OpenAlexW2025207034MaRDI QIDQ975014

Frank Wendler, Stefan Vandewalle, Liesbeth Vanherpe, Britta Nestler

Publication date: 8 June 2010

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://lirias.kuleuven.be/handle/123456789/247225

zbMATH Keywords

grain growthnonlinear multigrid methodphase field simulation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

Related Items (8)

Unnamed Item ⋮ Computationally efficient approach for the minimization of volume constrained vector-valued Ginzburg-Landau energy functional ⋮ Two-dimensional Kelvin-Helmholtz instabilities of multi-component fluids ⋮ Multiphase Allen-Cahn and Cahn-Hilliard models and their discretizations with the effect of pairwise surface tensions ⋮ A new approach to multi-phase formulation for the solidification of alloys ⋮ Comparison study of the conservative Allen-Cahn and the Cahn-Hilliard equations ⋮ An efficient numerical method for simulating multiphase flows using a diffuse interface model ⋮ An efficient and accurate numerical algorithm for the vector-valued Allen-Cahn equations

Cites Work

• Finite element approximation of a three dimensional phase field model for void electromigration
• Spectral implementation of an adaptive moving mesh method for phase-field equations
• Conservative multigrid methods for Cahn--Hilliard fluids.
• A phase field concept for multiphase systems
• A fully implicit, fully adaptive time and space discretisation method for phase-field simulation of binary alloy solidification
• A nonstiff, adaptive mesh refinement-based method for the Cahn-Hilliard equation
• Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method
• A multigrid finite element solver for the Cahn-Hilliard equation
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• A Diffuse Interface Model for Alloys with Multiple Components and Phases

This page was built for publication: A multigrid solver for phase field simulation of microstructure evolution