20.500.12556/DiRROS-18497 Application of a meshless space-time adaptive approach to phase-field modelling of polycrystalline solidification 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. dendritic growth phase-field method meshless methods polycrystalline solidification dendritska rast metoda faznega polja brezmrežne metode večkristalno strjevanje true false true IOP Publishing Anglija Angleški jezik Slovenski jezik Neznano 2024-03-21 08:17:37 2024-03-21 08:17:37 2024-03-22 03:48:31 0000-00-00 00:00:00 2023 0 0 Številka članka: 012057; Str. 1-10 Vol. 1281 2023 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.61 1757-8981 10.1088/1757-899X/1281/1/012057 153282819 153238531 https://iopscience.iop.org/article/10.1088/1757-899X/1281/1/012057 1 1a479d0f-e753-11ee-9dd4-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=25203 RAZ_Dobravec_Tadej_2023.pdf RAZ_Dobravec_Tadej_2023.pdf 1 507E8D00431242EB162938E5914E5187 c86608ca1a9e7786915bef26646fd781c0b5a71de2fd4bed667c5cf6cdd916ef f44015a7-e754-11ee-9dd4-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=25210 Inštitut za kovinske materiale in tehnologije 0 0 0