20.500.12556/DiRROS-18122 A coupled domain–boundary type meshless method for phase-field modelling of dendritic solidification with the fluid flow Purpose - This study aims to simulate the dendritic growth in Stokes flow by iteratively coupling a domain and boundary type meshless method. Design/methodology/approach - A preconditioned phase-field model for dendritic solidification of a pure supercooled melt is solved by the strong-form space-time adaptive approach based on dynamic quadtree domain decomposition. The domain-type space discretisation relies on monomial augmented polyharmonic splines interpolation. The forward Euler scheme is used for time evolution. The boundary-type meshless method solves the Stokes flow around the dendrite based on the collocation of the moving and fixed flow boundaries with the regularised Stokes flow fundamental solution. Both approaches are iteratively coupled at the moving solid–liquid interface. The solution procedure ensures computationally efficient and accurate calculations. The novel approach is numerically implemented for a 2D case. Findings - The solution procedure reflects the advantages of both meshless methods. Domain one is not sensitive to the dendrite orientation and boundary one reduces the dimensionality of the flow field solution. The procedure results agree well with the reference results obtained by the classical numerical methods. Directions for selecting the appropriate free parameters which yield the highest accuracy and computational efficiency are presented. Originality/value - A combination of boundary- and domain-type meshless methods is used to simulate dendritic solidification with the influence of fluid flow efficiently. dendritic solidification Stokes flow phase-field method space-time adaptivity meshless methods RBF-FD modified method of regularised sources dendritsko strjevanje Stokesov tok metoda faznega polja krajevno-časovna prilagodljivost brezmrežne metode RBF-FD modificirana metoda regulariziranih izvirov true false true Emerald Publishing Limited Anglija Angleški jezik Ni določen © Tadej Dobravec, Boštjan Mavric, Rizwan Zahoor and Božidar Šarler. Published by Emerald Publishing Limited Neznano 2024-02-07 10:08:32 2024-02-07 10:08:33 2024-02-12 14:33:48 0000-00-00 00:00:00 2023 0 0 str. 2963-2981 iss. 8 Vol. 33 Jun. 2023 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2023-06-01 519.62 0961-5539 10.1108/HFF-03-2023-0131 154935811 https://www.emerald.com/insight/content/doi/10.1108/HFF-03-2023-0131/full/html 1 172698eb-c590-11ee-8001-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=24618 RAZ_Dobravec_Tadej_2023.pdf RAZ_Dobravec_Tadej_2023.pdf 1 676A4016289B8EA193ED2E6348EE4EF5 0ddaf2aec7d27b428d78a8f26573a3c765aaa3a4989b67e59b1bbba04c8537b6 07573eb7-c592-11ee-8001-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=24619 Inštitut za kovinske materiale in tehnologije 0 0 0