Fast and accurate adaptive finite difference method for dendritic growth

DOI10.1016/j.cpc.2018.10.020zbMath1527.82060OpenAlexW2898989174MaRDI QIDQ6102787

Junseok Kim, Darae Jeong

Publication date: 9 May 2023

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2018.10.020

zbMATH Keywords

dendritic growthsolidificationphase-field modeladaptive numerical methodcrystal morphologygrowth from melt

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Finite difference methods applied to problems in statistical mechanics (82M20)

Related Items (4)

An adaptive time-stepping algorithm for the Allen-Cahn equation ⋮ An efficient and fast adaptive numerical method for a novel phase-field model of crystal growth ⋮ A practical adaptive grid method for the Allen-Cahn equation ⋮ Phase-field computations of anisotropic ice crystal growth on a spherical surface

Cites Work

• Phase field study of the tip operating state of a freely growing dendrite against convection using a novel parallel multigrid approach
• Three dimensional thermal-solute phase field simulation of binary alloy solidification
• An efficient and accurate numerical algorithm for the vector-valued Allen-Cahn equations
• A level set simulation of dendritic solidification of multi-component alloys
• Adaptive mesh refinement computation of solidification microstructures using dynamic data structures
• A general, mass-preserving Navier-Stokes projection method
• GPU accelerated cell-based adaptive mesh refinement on unstructured quadrilateral grid
• Parallel implementation of geometrical shock dynamics for two dimensional converging shock waves
• A fully implicit, fully adaptive time and space discretisation method for phase-field simulation of binary alloy solidification
• Phase-field simulations of crystal growth in a two-dimensional cavity flow
• Quantitative phase-field modeling of dendritic growth in two and three dimensions

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