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Analysis of mesh-induced anisotropy in the phase-field modelling of dendritic growth in binary alloys by novel adaptive meshless solution procedure [Elektronski vir]Dobravec, Tadej ; Mavrič, Boštjan, 1989- ; Šarler, BožidarA novel adaptive meshless solution procedure is applied for the analysis of the mesh-induced anisotropy in the phase-field modelling of dendritic solidification of dilute binary alloys. The adaptive ... solution procedure is based on the dynamic quadtree domain decomposition which divides the computational domain into quadtree sub-domains of different size. Each quadtree sub-domain has its own distribution of computational nodes in which the meshless radial basis function-generated finite differences (RBF-FD) method and the forward Euler scheme apply for the discretisation of the partial differential equations. The h-adaptivity is ensured by the constant product between the density of computational nodes in a quadtree sub-domain and the area of a quadtree sub-domain. The adaptive time-stepping with different time steps in quadtree sub-domains with different node densities is applied to further speed-up the calculations. The procedure dynamically ensures the highest density of computational nodes at the solid-liquid interface and the lowest density in the bulk of solid and liquid phases. The developed adaptive solution procedure is used to analyse the mesh-induced anisotropy in the solution of the phase-field model for isothermal solidification of a supersaturated dilute binary alloy. The steady-state growth velocities at different preferential growth directions are compared to the reference solution from the literature. The influence of the type of the node distribution (regular or scattered) in a quadtree sub-domain and the size of a local support in the RBF-FD method to the accuracy are analysed. We found out, that the solution is much more prone to the mesh-induced anisotropy effects when the regular node distribution is in use.Source: EUROMAT 2021 [Elektronski vir] : European Congress and Exhibition on Advanced Materials and Processes : 13-17 September 2021, virtual ([1] str.)Type of material - conference contribution ; adult, seriousPublish date - 2021Language - englishCOBISS.SI-ID - 79552003
Author
Dobravec, Tadej |
Mavrič, Boštjan, 1989- |
Šarler, Božidar
Topics
dendritsko strjevanje |
metoda faznega polja |
brezmrežne metode |
prilagodljiv rešitveni postopek |
mrežna anizotropija |
dendritic solidification |
phase-field method |
meshless methods |
adaptive solution procedure |
mesh-anisotropy
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DRS, in which the journal is indexed
Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Dobravec, Tadej | 38848 |
Mavrič, Boštjan, 1989- | 36364 |
Šarler, Božidar | 04101 |
Source: Personal bibliographies
and: SICRIS
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