Reitzle, M. ; Kieffer-Roth, C. ; Garcke, H. ; Weigand, B.
Alternative Links zum Volltext:DOIVerlag
| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Journal of Computational Physics |
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| Verlag: | ACADEMIC PRESS INC ELSEVIER SCIENCE |
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| Ort der Veröffentlichung: | SAN DIEGO |
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| Band: | 339 |
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| Seitenbereich: | S. 356-369 |
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| Datum: | 2017 |
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| Institutionen: | Mathematik > Prof. Dr. Harald Garcke |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.1016/j.jcp.2017.03.001 | DOI |
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| Stichwörter / Keywords: | PHASE-FIELD SIMULATIONS; LEVEL SET SIMULATION; DENDRITIC SOLIDIFICATION; NUMERICAL-SIMULATION; FRONT-TRACKING; MEAN-CURVATURE; BINARY ALLOY; GROWTH; CONVECTION; FLOW; Volume of fluid; Ice growth; Supercooled water; Solidification; Anisotropic surface energy density; Weighted mean curvature |
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| Dewey-Dezimal-Klassifikation: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
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| Status: | Veröffentlicht |
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| Begutachtet: | Ja, diese Version wurde begutachtet |
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| An der Universität Regensburg entstanden: | Ja |
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| Dokumenten-ID: | 38887 |
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Zusammenfassung
A novel volume-of-fluid method to simulate three-dimensional hexagonal solidification processes is presented. The Gibbs-Thomson temperature is calculated using the weighted mean curvature and a height function technique. This boundary condition is applied directly on the sharp interface. A geometric unsplit advection scheme is used to advance the interface to the next timestep. The phase change ...
Zusammenfassung
A novel volume-of-fluid method to simulate three-dimensional hexagonal solidification processes is presented. The Gibbs-Thomson temperature is calculated using the weighted mean curvature and a height function technique. This boundary condition is applied directly on the sharp interface. A geometric unsplit advection scheme is used to advance the interface to the next timestep. The phase change model is validated against analytical similarity solutions in both two and three dimensions. The influence of the grid resolution on the dendritic growth is studied. Sharper dendrites for increasing resolution were found as a result of the model for the anisotropic surface energy density. Three-dimensional hexagonal growth could be achieved and constrictions were observed in both the basal and prismal planes. (C) 2017 Elsevier Inc. All rights reserved.
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