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Acceleration of RBF-FD meshless phase-field modelling of dendritic solidification by space-time adaptive approach
ID Dobravec, Tadej (Avtor), ID Mavrič, Boštjan (Avtor), ID Šarler, Božidar (Avtor)

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URLURL - Izvorni URL, za dostop obiščite https://www.sciencedirect.com/science/article/pii/S0898122122003881 Povezava se odpre v novem oknu

Izvleček
A novel adaptive numerical approach is developed for an accurate and computationally efficient phase-field modelling of dendritic solidification. The adaptivity is based on the dynamic quadtree domain decomposition. A quadtree decomposes the computational domain into rectangular sub-domains of different sizes. Each sub-domain is extended to ensure overlap communication between neighbouring sub-domains. In each sub-domain, uniform distribution of computational nodes is generated. The product between the node density and the sub-domain area is fixed to ensure the h-adaptivity. The adaptive approach provides the highest density of computational nodes at the solid-liquid interface and the lowest density in the bulk of the phases. The meshless radial basis function generated finite difference (RBF-FD) method is applied for the spatial discretisation of the partial differential equations which arise from the phase-field model. The RBF-FD method is especially appealing since it allows straightforward spatial discretisation of partial differential equations on scattered node distributions. The use of scattered node distribution reduces the discretisation-induced anisotropy in the phase-field modelling of dendritic growth. The forward Euler scheme is used for temporal discretisation. The adaptive time-stepping is employed to speed up the calculations further. The performance of the novel numerical approach is tested for dendritic solidification of supercooled pure melts and supersaturated dilute binary alloys at arbitrary preferential growth directions. The impact of the numerical parameters on the accuracy and computational efficiency is thoroughly analysed. It is shown that the RBF-FD method, defined on scattered node distribution, together with the space-time adaptive approach, represents an accurate and efficient technique for solving the phase-field models of dendritic solidification.

Jezik:Angleški jezik
Ključne besede:dendritic solidification, phase-field method, meshless methods, space-time adaptivity, scattered nodes
Vrsta gradiva:Članek v reviji (dk_c)
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:FS - Fakulteta za strojništvo
Leto izida:2022
Status objave pri reviji:Objavljeno
Verzija članka:Založnikova različica članka
Št. strani:22 str.
Številčenje:Vol. 126
PID:20.500.12556/RUL-141046 Povezava se odpre v novem oknu
UDK:519.6:532
ISSN pri članku:1873-7668
DOI:10.1016/j.camwa.2022.09.008 Povezava se odpre v novem oknu
COBISS.SI-ID:122502403 Povezava se odpre v novem oknu
Datum objave v RUL:22.09.2022
Število ogledov:24
Število prenosov:7
Metapodatki:XML RDF-CHPDL DC-XML DC-RDF
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Gradivo je del revije

Naslov:Computers & mathematics with applications
Založnik:Elsevier
ISSN:1873-7668
COBISS.SI-ID:122493187 Povezava se odpre v novem oknu

Licence

Licenca:CC BY-NC-ND 4.0, Creative Commons Priznanje avtorstva-Nekomercialno-Brez predelav 4.0 Mednarodna
Povezava:http://creativecommons.org/licenses/by-nc-nd/4.0/deed.sl
Opis:Najbolj omejujoča licenca Creative Commons. Uporabniki lahko prenesejo in delijo delo v nekomercialne namene in ga ne smejo uporabiti za nobene druge namene.

Sekundarni jezik

Jezik:Slovenski jezik
Ključne besede:dendritsko strjevanje, metoda faznega polja, brezmrežne metode, krajevno-časovna prilagodljivost, razmetana vozlišča

Projekti

Financer:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Številka projekta:J2-1718
Naslov:NAPREDNO BREZMREŽNO MODELIRANJE IN SIMULACIJA VEČFAZNIH SISTEMOV

Financer:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Številka projekta:P2-0162
Naslov:Večfazni sistemi

Financer:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Številka projekta:L2-9246
Naslov:Večfizikalno in večnivojsko numerično modeliranje za konkurenčno kontinuirno ulivanje

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