Insight into scale selection of dimensionless phase-field model of alloy solidification
The available phase-field models are generally limited to certain specific concentrations and temperatures, weakening the universality of the method. A unified dimensionless framework is developed by adopting arbitrary concentration and temperature scales for nondimensionalization, thereby eliminati...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-06-01
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| Series: | Materials & Design |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0264127525004484 |
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| author | Yuchen Tang Ang Zhang He Liu Gengyun Zhang Chuangming Li Yongfeng Li Zhihua Dong Guangsheng Huang Bin Jiang |
| author_facet | Yuchen Tang Ang Zhang He Liu Gengyun Zhang Chuangming Li Yongfeng Li Zhihua Dong Guangsheng Huang Bin Jiang |
| author_sort | Yuchen Tang |
| collection | DOAJ |
| description | The available phase-field models are generally limited to certain specific concentrations and temperatures, weakening the universality of the method. A unified dimensionless framework is developed by adopting arbitrary concentration and temperature scales for nondimensionalization, thereby eliminating scale dependence in model comparisons. The dimensionless phase-field equations are validated by simulating the growth of two kinds of typical alloys including four-fold symmetry morphology (e.g., Fe, Al, and Cu) and six-fold symmetry morphology (e.g., Mg, Zn, and α-Ti) patterns in both 2D and 3D cases. The effect of the scales on characteristic parameters, including capillary length and relaxation time, is discussed, and a reasonable scale range is determined by evaluating both numerical accuracy and computing performance. Four typical phase-field equations are perfectly mapped by selecting specific concentration and temperature scales, which validates the applicability of the reformulated model and provides guidance for further application of the phase-field models. Furthermore, the relationship between the reformulated model and the grand-potential based model is simply analyzed, and the relation with the phase-field equations with decoupled dimensionless concentration is also discussed. |
| format | Article |
| id | doaj-art-66b72a95ee104fc0bc5dfe8d4afc6920 |
| institution | DOAJ |
| issn | 0264-1275 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Materials & Design |
| spelling | doaj-art-66b72a95ee104fc0bc5dfe8d4afc69202025-08-20T03:10:42ZengElsevierMaterials & Design0264-12752025-06-0125411402810.1016/j.matdes.2025.114028Insight into scale selection of dimensionless phase-field model of alloy solidificationYuchen Tang0Ang Zhang1He Liu2Gengyun Zhang3Chuangming Li4Yongfeng Li5Zhihua Dong6Guangsheng Huang7Bin Jiang8National Engineering Research Center for Magnesium Alloys, National Key Laboratory of Advanced Casting Technologies, College of Materials Science and Engineering, Chongqing University, Chongqing 400044, ChinaCorresponding author.; National Engineering Research Center for Magnesium Alloys, National Key Laboratory of Advanced Casting Technologies, College of Materials Science and Engineering, Chongqing University, Chongqing 400044, ChinaNational Engineering Research Center for Magnesium Alloys, National Key Laboratory of Advanced Casting Technologies, College of Materials Science and Engineering, Chongqing University, Chongqing 400044, ChinaNational Engineering Research Center for Magnesium Alloys, National Key Laboratory of Advanced Casting Technologies, College of Materials Science and Engineering, Chongqing University, Chongqing 400044, ChinaNational Engineering Research Center for Magnesium Alloys, National Key Laboratory of Advanced Casting Technologies, College of Materials Science and Engineering, Chongqing University, Chongqing 400044, ChinaNational Engineering Research Center for Magnesium Alloys, National Key Laboratory of Advanced Casting Technologies, College of Materials Science and Engineering, Chongqing University, Chongqing 400044, ChinaNational Engineering Research Center for Magnesium Alloys, National Key Laboratory of Advanced Casting Technologies, College of Materials Science and Engineering, Chongqing University, Chongqing 400044, ChinaNational Engineering Research Center for Magnesium Alloys, National Key Laboratory of Advanced Casting Technologies, College of Materials Science and Engineering, Chongqing University, Chongqing 400044, ChinaNational Engineering Research Center for Magnesium Alloys, National Key Laboratory of Advanced Casting Technologies, College of Materials Science and Engineering, Chongqing University, Chongqing 400044, ChinaThe available phase-field models are generally limited to certain specific concentrations and temperatures, weakening the universality of the method. A unified dimensionless framework is developed by adopting arbitrary concentration and temperature scales for nondimensionalization, thereby eliminating scale dependence in model comparisons. The dimensionless phase-field equations are validated by simulating the growth of two kinds of typical alloys including four-fold symmetry morphology (e.g., Fe, Al, and Cu) and six-fold symmetry morphology (e.g., Mg, Zn, and α-Ti) patterns in both 2D and 3D cases. The effect of the scales on characteristic parameters, including capillary length and relaxation time, is discussed, and a reasonable scale range is determined by evaluating both numerical accuracy and computing performance. Four typical phase-field equations are perfectly mapped by selecting specific concentration and temperature scales, which validates the applicability of the reformulated model and provides guidance for further application of the phase-field models. Furthermore, the relationship between the reformulated model and the grand-potential based model is simply analyzed, and the relation with the phase-field equations with decoupled dimensionless concentration is also discussed.http://www.sciencedirect.com/science/article/pii/S0264127525004484Phase-field modelSolidificationSimulationScale |
| spellingShingle | Yuchen Tang Ang Zhang He Liu Gengyun Zhang Chuangming Li Yongfeng Li Zhihua Dong Guangsheng Huang Bin Jiang Insight into scale selection of dimensionless phase-field model of alloy solidification Materials & Design Phase-field model Solidification Simulation Scale |
| title | Insight into scale selection of dimensionless phase-field model of alloy solidification |
| title_full | Insight into scale selection of dimensionless phase-field model of alloy solidification |
| title_fullStr | Insight into scale selection of dimensionless phase-field model of alloy solidification |
| title_full_unstemmed | Insight into scale selection of dimensionless phase-field model of alloy solidification |
| title_short | Insight into scale selection of dimensionless phase-field model of alloy solidification |
| title_sort | insight into scale selection of dimensionless phase field model of alloy solidification |
| topic | Phase-field model Solidification Simulation Scale |
| url | http://www.sciencedirect.com/science/article/pii/S0264127525004484 |
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