Application of a meshless space-time adaptive approach to phase-field modelling of polycrystalline solidification

Dobravec, Tadej (author), Mavrič, Boštjan (author), Šarler, Božidar (author)

We have developed a 2-D numerical meshless adaptive approach for phase-field modelling of dendritic solidification. The quadtree-based approach decomposes the computational domain into quadtree sub-domains of different sizes. The algorithm generates uniformly-distributed computational nodes in each quadtree sub-domain. We apply the meshless radial basis function generated finite difference method and the forward Euler scheme to discretise governing equations in each computational node. The fixed ratio between the characteristic size and the node spacing of a quadtree sub-domain ensures space adaptivity. The adaptive time-stepping accelerates the calculations further. In the framework of previous research studies, we used the approach to solve quantitative phase-field models for single dendrite growth in pure melts and dilute binary alloys. In the present study, we upgrade the solution procedure for the modelling growth of multiple differently oriented dendrites. Along with the space-time adaptive approach, we apply non-linear preconditioning of the phase-field equation to increase computational efficiency. We investigate a novel numerical approach's accuracy and computational efficiency by simulating the equiaxed dendrite growth from a dilute binary alloy.

• Language: English
• Keywords: dendritic growth, phase-field method, meshless methods, polycrystalline solidification
• Work type: Article
• Typology: 1.08 - Published Scientific Conference Contribution
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Year: 2023
• Number of pages: 10 str., art. 012057
• Numbering: Vol. 1281
• PID: 20.500.12556/RUL-146348-95659423-13f6-7d84-f557-fcbf6f934125
• UDC: 519.61
• ISSN on article: 1757-8981
• DOI: 10.1088/1757-899X/1281/1/012057
• COBISS.SI-ID: 153282819
• Publication date in RUL: 24.05.2023

Record is a part of a proceedings

• Title: MCWASP 2023
• COBISS.SI-ID: 153238531

Record is a part of a journal

• Title: IOP conference series. Materials science and engineering
• Publisher: IOP Publishing
• ISSN: 1757-8981
• COBISS.SI-ID: 1814101

Licences

• License: CC BY 3.0, Creative Commons Attribution 3.0 Unported
• Link: https://creativecommons.org/licenses/by/3.0/deed.en
• Description: You are free to reproduce and redistribute the material in any medium or format. You are free to remix, transform, and build upon the material for any purpose, even commercially. You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.

Secondary language

• Language: Slovenian
• Keywords: dendritska rast, metoda faznega polja, brezmrežne metode, večkristalno strjevanje