Comparative analysis of different numerical schemes in solute trapping simulations by using the phase-field model with finite interface dissipation
Two different numerical schemes, the standard explicit scheme and the time-elimination relaxation one, in the framework of phase-field model with finite interface dissipation were employed to investigate the solute trapping effect in a Si-4.5 at.% As alloy during rapid solidification. With...
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| Format: | Article |
| Language: | English |
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University of Belgrade, Technical Faculty, Bor
2016-01-01
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| Series: | Journal of Mining and Metallurgy. Section B: Metallurgy |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/1450-5339/2016/1450-53391600010Y.pdf |
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| author | Yang X. Tang Y. Cai D. Zhang L. Du Y. Zhou S. |
| author_facet | Yang X. Tang Y. Cai D. Zhang L. Du Y. Zhou S. |
| author_sort | Yang X. |
| collection | DOAJ |
| description | Two different numerical schemes, the standard explicit scheme and the
time-elimination relaxation one, in the framework of phase-field model with
finite interface dissipation were employed to investigate the solute trapping
effect in a Si-4.5 at.% As alloy during rapid solidification. With the
equivalent input, a unique solute distribution under the steady state can be
obtained by using the two schemes without restriction to numerical length
scale and interface velocity. By adjusting interface width and interface
permeability, the experimental solute segregation coefficients can be well
reproduced. The comparative analysis of advantages and disadvantages in the
two numerical schemes indicates that the time-elimination relaxation scheme
is preferable in one-dimensional phase-field simulation, while the standard
explicit scheme seems to be the only choice for two- or three dimensional
phase-field simulation. Furthermore, the kinetic phase diagrams in the Si-As
system were predicted by using the phase-field simulation with the
time-elimination relaxation scheme. |
| format | Article |
| id | doaj-art-94e90325902745febbe2de53bd75d167 |
| institution | Kabale University |
| issn | 1450-5339 2217-7175 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | University of Belgrade, Technical Faculty, Bor |
| record_format | Article |
| series | Journal of Mining and Metallurgy. Section B: Metallurgy |
| spelling | doaj-art-94e90325902745febbe2de53bd75d1672025-02-02T13:59:53ZengUniversity of Belgrade, Technical Faculty, BorJournal of Mining and Metallurgy. Section B: Metallurgy1450-53392217-71752016-01-01521778510.2298/JMMB150716010Y1450-53391600010YComparative analysis of different numerical schemes in solute trapping simulations by using the phase-field model with finite interface dissipationYang X.0Tang Y.1Cai D.2Zhang L.3Du Y.4Zhou S.5Central South University, State Key Laboratory of Powder Metallurgy, Changsha, Hunan, P.R. ChinaCentral South University, State Key Laboratory of Powder Metallurgy, Changsha, Hunan, P.R. ChinaCentral South University, State Key Laboratory of Powder Metallurgy, Changsha, Hunan, P.R. ChinaCentral South University, State Key Laboratory of Powder Metallurgy, Changsha, Hunan, P.R. ChinaCentral South University, State Key Laboratory of Powder Metallurgy, Changsha, Hunan, P.R. ChinaDivision of Materials Sciences and Engineering, Ames Laboratory, USDOE, Ames, USATwo different numerical schemes, the standard explicit scheme and the time-elimination relaxation one, in the framework of phase-field model with finite interface dissipation were employed to investigate the solute trapping effect in a Si-4.5 at.% As alloy during rapid solidification. With the equivalent input, a unique solute distribution under the steady state can be obtained by using the two schemes without restriction to numerical length scale and interface velocity. By adjusting interface width and interface permeability, the experimental solute segregation coefficients can be well reproduced. The comparative analysis of advantages and disadvantages in the two numerical schemes indicates that the time-elimination relaxation scheme is preferable in one-dimensional phase-field simulation, while the standard explicit scheme seems to be the only choice for two- or three dimensional phase-field simulation. Furthermore, the kinetic phase diagrams in the Si-As system were predicted by using the phase-field simulation with the time-elimination relaxation scheme.http://www.doiserbia.nb.rs/img/doi/1450-5339/2016/1450-53391600010Y.pdfphase-field modelingsolute trappingrapid solidificationnumerical scheme |
| spellingShingle | Yang X. Tang Y. Cai D. Zhang L. Du Y. Zhou S. Comparative analysis of different numerical schemes in solute trapping simulations by using the phase-field model with finite interface dissipation Journal of Mining and Metallurgy. Section B: Metallurgy phase-field modeling solute trapping rapid solidification numerical scheme |
| title | Comparative analysis of different numerical schemes in solute trapping simulations by using the phase-field model with finite interface dissipation |
| title_full | Comparative analysis of different numerical schemes in solute trapping simulations by using the phase-field model with finite interface dissipation |
| title_fullStr | Comparative analysis of different numerical schemes in solute trapping simulations by using the phase-field model with finite interface dissipation |
| title_full_unstemmed | Comparative analysis of different numerical schemes in solute trapping simulations by using the phase-field model with finite interface dissipation |
| title_short | Comparative analysis of different numerical schemes in solute trapping simulations by using the phase-field model with finite interface dissipation |
| title_sort | comparative analysis of different numerical schemes in solute trapping simulations by using the phase field model with finite interface dissipation |
| topic | phase-field modeling solute trapping rapid solidification numerical scheme |
| url | http://www.doiserbia.nb.rs/img/doi/1450-5339/2016/1450-53391600010Y.pdf |
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