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An implicit parallel multigrid computing scheme to solve coupled thermal-solute phase-field equations for dendrite evolution (2011)
Journal Article
Guo, Z., Mi, J., & Grant, P. S. (2012). An implicit parallel multigrid computing scheme to solve coupled thermal-solute phase-field equations for dendrite evolution. Journal of Computational Physics, 231(4), 1781-1796. https://doi.org/10.1016/j.jcp.2011.11.006

An implicit, second-order space and time discretization scheme together with a parallel multigrid method involving a strip grid domain partitioning has been developed to solve fully coupled, nonlinear phase field equations involving solute and heat t... Read More about An implicit parallel multigrid computing scheme to solve coupled thermal-solute phase-field equations for dendrite evolution.

A quantitative study of solute diffusion field effects on heterogeneous nucleation and the grain size of alloys (2011)
Journal Article
Shu, D., Sun, B., Mi, J., & Grant, P. S. (2011). A quantitative study of solute diffusion field effects on heterogeneous nucleation and the grain size of alloys. Acta Materialia, 59(5), 2135-2144. https://doi.org/10.1016/j.actamat.2010.12.014

The nucleation ability of inoculating particles inside the solute diffusion zone around growing grains during alloy solidification is studied using a spherical, equiaxed dendritic grain model coupled with a new modified free growth model to predict t... Read More about A quantitative study of solute diffusion field effects on heterogeneous nucleation and the grain size of alloys.