Hybrid Cellular Automaton-Parabolic Thick Needle model for equiaxed dendritic solidification

作     者：Romain Fleurisson Oriane Senninger Gildas Guillemot Charles-André Gandin Romain Fleurisson;Oriane Senninger;Gildas Guillemot;Charles-André Gandin

作者机构：MINES ParisTechPSL Research UniversityCEMEF UMR CNRS 7635CS1020706904 Sophia AntipolisFrance 

出 版 物：《Journal of Materials Science & Technology》 (材料科学技术（英文版）)

年 卷 期：2022年第124卷第29期

页      面：26-40页

核心收录：

学科分类：07[理学] 070205[理学-凝聚态物理] 0806[工学-冶金工程] 0805[工学-材料科学与工程（可授工学、理学学位）] 0702[理学-物理学] 

基　　金：conducted within the ESA-MAP program‘CETSOL’ contract 14313/01/NL/SH 

主　　题：Solidification Dendrite growth law Multiscale Finite element method 

摘      要：A hybrid Cellular Automaton(CA)-Parabolic Thick Needle(PTN)model is developed for the simulation of an equiaxed dendritic grain.It is implemented by solving conservation equations with the Finite Element(FE)method at two scales.At the scale of the microstructure,dendritic branches are approximated by a network of PTN.The solute field is computed in the liquid using a FE mesh with minimum size smaller than the diffusion length ahead of the dendrite tips,giving access to a detailed description of each dendrite tip growth velocity as well as solutal interactions between branches.At the simulation domain scale,volume averaged heat and solute transfers are solved on a coarser FE mesh.The average volumetric fraction of phases is deduced from a field giving the fraction of dendritic microstructure together with a microsegregation model.Because the PTN themselves grow on CA cells,the dendrite tip growth velocity is transferred to the vertices of the polygon associated to the CA growth shape.Similarly,the field giving the fraction of dendritic microstructure is deduced from the fraction of CA cells part of the mushy zone,which include cells containing PTN network.Advantages of the new multiple scale CAPTN model include solutal interaction between dendrite branches together with long range transfer of heat and solute mass,together with the role of latent heat release on equiaxed solidification.