Volume 5, Issue 2
Numerical Modeling of One-Dimensional Binary Solidification with a Mushy Layer Evolution

Daniel Lee, Dmitri Alexandrov & H.-N. Huang

Numer. Math. Theor. Meth. Appl., 5 (2012), pp. 157-185.

Published online: 2012-05

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  • 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.

  • Keywords

Direct numerical simulation, Heat and mass transfer, Mushy layer, Solidification, Stefan problem.

  • AMS Subject Headings

35K05, 65-05, 65M06

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{NMTMA-5-157, author = {}, 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} }
TY - JOUR T1 - Numerical Modeling of One-Dimensional Binary Solidification with a Mushy Layer Evolution JO - Numerical Mathematics: Theory, Methods and Applications VL - 2 SP - 157 EP - 185 PY - 2012 DA - 2012/05 SN - 5 DO - http://doi.org/10.4208/nmtma.2012.m1029 UR - https://global-sci.org/intro/article_detail/nmtma/5933.html KW - Direct numerical simulation, Heat and mass transfer, Mushy layer, Solidification, Stefan problem. AB -

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.

Daniel Lee, Dmitri Alexandrov & H.-N. Huang. (2020). Numerical Modeling of One-Dimensional Binary Solidification with a Mushy Layer Evolution. Numerical Mathematics: Theory, Methods and Applications. 5 (2). 157-185. doi:10.4208/nmtma.2012.m1029
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