A cellular automaton -- finite volume method for the simulation of dendritic and eutectic growth in binary alloys using an adaptive mesh refinement

DOI10.1016/j.jcp.2017.08.011zbMath1380.65194OpenAlexW2747234835MaRDI QIDQ1695361

Tadej Dobravec, Boštjan Mavrič, Božidar Šarler

Publication date: 7 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.08.011

zbMATH Keywords

finite volume methoddendritic growthcellular automatonbinary alloysquadtree data structureeutectic growth

Mathematics Subject Classification ID

Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (4)

Three-dimensional sharp and conservative VOF method for the simulation of binary solidification ⋮ Simulations of dendritic solidification via the diffuse approximate method ⋮ Numerical methods for microstructural evolutions in laser additive manufacturing ⋮ Acceleration of RBF-FD meshless phase-field modelling of dendritic solidification by space-time adaptive approach

Cites Work

• Unnamed Item
• Unnamed Item
• On solving the 3-D phase field equations by employing a parallel-adaptive mesh refinement (para-AMR) algorithm
• Modeling dendritic solidification of Al-3\%Cu using cellular automaton and phase-field methods
• Simulating dendritic solidification using an anisotropy-free meshless front-tracking method
• A level set simulation of dendritic solidification of multi-component alloys
• The development of a cellular automaton-finite volume model for dendritic growth
• Adaptive mesh refinement computation of solidification microstructures using dynamic data structures
• Quad trees: A data structure for retrieval by composite keys
• Modeling and numerical simulations of dendritic crystal growth
• Solution of a two-dimensional bubble shape in potential flow by the method of fundamental solutions
• A sharp computational method for the simulation of the solidification of binary alloys
• A level set simulation of dendritic solidification with combined features of front-tracking and fixed-domain methods
• Quantitative phase-field modeling of dendritic growth in two and three dimensions

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