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A cellular automaton - finite volume method for the simulation of dendritic and eutectic growth in binary alloys using an adaptive mesh refinementDobravec, Tadej ; Mavrič, Boštjan, 1989- ; Šarler, BožidarA two-dimensional model to simulate the dendritic and eutectic growth in binary alloys is developed. A cellular automaton method is adopted to track the movement of the solid-liquid interface. The ... diffusion equation is solved in the solid and liquid phases by using an explicit finite volume method. The computational domain is divided into square cells that can be hierarchically refined or coarsened using an adaptive mesh based on the quadtree algorithm. Such a mesh refines the regions of the domain near the solid-liquid interface, where the highest concentration gradients are observed. In the regions where the lowest concentration gradients are observed the cells are coarsened. The originality of the work is in the novel, adaptive approach to the efficient and accurate solution of the posed multiscale problem. The model is verified and assessed by comparison with the analytical results of the Lipton-Glicksman-Kurz model for the steady growth of a dendrite tip and the Jackson-Hunt model for regular eutectic growth. Several examples of typical microstructures are simulated and the features of the method as well as further developments are discussed.Source: Journal of computational physics. - ISSN 0021-9991 (Vol. 349, Nov. 2017, str. 351-375)Type of material - article, component partPublish date - 2017Language - englishCOBISS.SI-ID - 15618075
Author
Dobravec, Tadej |
Mavrič, Boštjan, 1989- |
Šarler, Božidar
Topics
binary alloys |
dendritic growth |
eutectic growth |
cellular automaton |
finite volume method |
quadtree data structure |
dvosestavinske zlitine |
dendritska rast |
celični avtomati |
prilagodljiva metoda končnih volumnov |
štiriško-drevesni algoritem
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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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