An implicit parallel multigrid computing scheme to solve coupled thermal-solute phase-field equations for dendrite evolution

DOI10.1016/j.jcp.2011.11.006zbMath1408.80008OpenAlexW2051282661WikidataQ62762251 ScholiaQ62762251MaRDI QIDQ423002

J. Herrera, H. S. Yoon

Publication date: 18 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.11.006

zbMATH Keywords

solidificationmultigrid methodparallel computingphase fielddendrite evolution

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20)

Related Items (6)

On solving the 3-D phase field equations by employing a parallel-adaptive mesh refinement (para-AMR) algorithm ⋮ Phase field study of the tip operating state of a freely growing dendrite against convection using a novel parallel multigrid approach ⋮ Accurate, efficient, and (iso)geometrically flexible collocation methods for phase-field models ⋮ Multiple-relaxation-time lattice Boltzmann model for anisotropic liquid-solid phase change ⋮ Development of a para-AMR algorithm for simulating dendrite growth under convection using a phase-field-lattice Boltzmann method ⋮ Phase-field-lattice Boltzmann method for dendritic growth with melt flow and thermosolutal convection-diffusion

Uses Software

• MPI

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multilevel computations of integral transforms and particle interactions with oscillatory kernels
• A continuum model of grain boundaries
• A fully implicit, fully adaptive time and space discretisation method for phase-field simulation of binary alloy solidification
• A Numerical Approach to Three-Dimensional Dendritic Solidification
• Quantitative phase-field modeling of dendritic growth in two and three dimensions

This page was built for publication: An implicit parallel multigrid computing scheme to solve coupled thermal-solute phase-field equations for dendrite evolution