A more accurate two-dimensional grain growth algorithm / Emanuel A. Lazar in Acta materialia, Vol. 58 N° 2 (Janvier 2010)  

Public ISBD [article]  inActa materialia > Vol. 58 N° 2 (Janvier 2010) . - pp. 364-372 Titre : A more accurate two-dimensional grain growth algorithm Type de document : texte imprimé Auteurs : Emanuel A. Lazar, Auteur ; Robert D. MacPherson, Auteur ; David J. Srolovitz, Auteur Article en page(s) : pp. 364-372 Note générale : Métallurgie Langues : Anglais (eng) Mots-clés : Grain growth Simulation von Neumann–Mullins theory Index. décimale : 669 Métallurgie Résumé : We describe a method for evolving two-dimensional polycrystalline microstructures via mean curvature flow that satisfies the von Neumann–Mullins relation with an absolute error O(Δt2). This is a significant improvement over a different method currently used that has an absolute error O(Δt). We describe the implementation of this method and show that while both approaches lead to indistinguishable evolution when the spatial discretization is very fine, the differences can be substantial when the discretization is left unrefined. We demonstrate that this new front-tracking approach can be pushed to the limit in which the only mesh nodes are those coincident with triple junctions. This reduces the method to a vertex model that is consistent with the exact kinetic law for grain growth. We briefly discuss an extension of the method to higher spatial dimensions. DEWEY : 669 ISSN : 1359-6454 En ligne : http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235556%23 [...] [article] A more accurate two-dimensional grain growth algorithm [texte imprimé] / Emanuel A. Lazar, Auteur ; Robert D. MacPherson, Auteur ; David J. Srolovitz, Auteur . - pp. 364-372. Métallurgie Langues : Anglais (eng) in Acta materialia > Vol. 58 N° 2 (Janvier 2010) . - pp. 364-372 Mots-clés : Grain growth Simulation von Neumann–Mullins theory Index. décimale : 669 Métallurgie Résumé : We describe a method for evolving two-dimensional polycrystalline microstructures via mean curvature flow that satisfies the von Neumann–Mullins relation with an absolute error O(Δt2). This is a significant improvement over a different method currently used that has an absolute error O(Δt). We describe the implementation of this method and show that while both approaches lead to indistinguishable evolution when the spatial discretization is very fine, the differences can be substantial when the discretization is left unrefined. We demonstrate that this new front-tracking approach can be pushed to the limit in which the only mesh nodes are those coincident with triple junctions. This reduces the method to a vertex model that is consistent with the exact kinetic law for grain growth. We briefly discuss an extension of the method to higher spatial dimensions. DEWEY : 669 ISSN : 1359-6454 En ligne : http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%235556%23 [...]

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