|About this Abstract
||2016 TMS Annual Meeting & Exhibition
||Frontiers in Solidification: An MPMD Symposium in Honor of Michel Rappaz
||QQ-11: Upscaling from Mesoscopic to Macroscopic Solidification Models by Volume Averaging
||Miha Založnik, Youssef Souhar, Christoph Beckermann, Hervé Combeau
|On-Site Speaker (Planned)
The mesoscopic solidification model is based on a simplified representation of dendritic structures by their envelopes. It provides quantitative predictions of dendritic growth over a wide range of solidification conditions. Because of its low computational cost compared to microscopic (e.g., phase-field) methods, parametric studies can be performed on a scale that corresponds to the Representative Elementary Volume (REV) used in deriving volume-averaged macroscopic models of solidification processes. In the present study, the mesoscopic model is applied to dendritic solidification of up to 100 interacting equiaxed grains. The results are averaged over the volume containing the grains and then used to obtain constitutive relations for macroscopic models. We present relations for the specific surface area of the grain envelopes and the solute diffusion length from the grains into the extra-dendritic liquid. It is shown that the present computational upscaling approach allows for improved constitutive relations to be obtained.