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

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

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.

• Jezik: Angleški jezik
• Ključne besede: dendritic growth, phase-field method, meshless methods, polycrystalline solidification
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.08 - Objavljeni znanstveni prispevek na konferenci
• Organizacija: FS - Fakulteta za strojništvo
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2023
• Št. strani: 10 str., art. 012057
• Številčenje: Vol. 1281
• PID: 20.500.12556/RUL-146348-95659423-13f6-7d84-f557-fcbf6f934125
• UDK: 519.61
• ISSN pri članku: 1757-8981
• DOI: 10.1088/1757-899X/1281/1/012057
• COBISS.SI-ID: 153282819
• Datum objave v RUL: 24.05.2023

Gradivo je del zbornika

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

Gradivo je del revije

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

Licence

• Licenca: CC BY 3.0, Creative Commons Priznanje avtorstva 3.0 Nedoločena
• Povezava: https://creativecommons.org/licenses/by/3.0/deed.sl
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Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: dendritska rast, metoda faznega polja, brezmrežne metode, večkristalno strjevanje