@Article{NMTMA-5-157, author = {Daniel Lee, Dmitri Alexandrov and H.-N. Huang}, title = {Numerical Modeling of One-Dimensional Binary Solidification with a Mushy Layer Evolution}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2012}, volume = {5}, number = {2}, pages = {157--185}, abstract = {
The numerical modeling of a binary solidification with a mushy layer mechanism is considered in this manuscript. The nonlinear coupled system of equations describes the heat and mass diffusions of a one-dimensional spatial variable in the semi-infinite interval. Also formulated is a transformed system in a finite interval. We propose numerical methods for solving the nonlinear system using a threshold strategy based on fixed computation-domain approach. Our calculated results and those from the LeadEx field experiment are well-matched in their tendencies.
}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2012.m1029}, url = {http://global-sci.org/intro/article_detail/nmtma/5933.html} }