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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, Božidar
    A 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, serious
    Publish date - 2021
    Language - english
    COBISS.SI-ID - 79552003

    Link(s):

    https://submit.asmet.org/event/53/

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