Direct numerical simulation of solidification with effects of density difference
In this paper, direct numerical simulations are presented for solidification with the effects of density difference between the solid and liquid phases. A front-tracking method is used. The solidification front, i.e. the solid-liquid interface separating solid and liquid, is represented by connecte...
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| Format: | Article |
| Language: | English |
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Publishing House for Science and Technology
2016-09-01
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| Series: | Vietnam Journal of Mechanics |
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| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/6063 |
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| author | Vu Van Truong |
| author_facet | Vu Van Truong |
| author_sort | Vu Van Truong |
| collection | DOAJ |
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In this paper, direct numerical simulations are presented for solidification with the effects of density difference between the solid and liquid phases. A front-tracking method is used. The solidification front, i.e. the solid-liquid interface separating solid and liquid, is represented by connected elements that move on a rectangular and stationary grid. The Navier-Stokes equations are solved by a projection method on the entire domain including the solid phase. An indicator function reconstructed from the front information is used to set the velocities in the solid phase to zero, and thus to enforce the no-slip condition at the interface. The method is validated through comparisons with exact solutions for one- and two-dimensional problems. The method is then used to simulate the solidification processes with the effects of volume change due to density difference.
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| format | Article |
| id | doaj-art-c9baebf9d6ce47b0a39392f6e5551b10 |
| institution | OA Journals |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 2016-09-01 |
| publisher | Publishing House for Science and Technology |
| record_format | Article |
| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-c9baebf9d6ce47b0a39392f6e5551b102025-08-20T02:10:39ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822016-09-0138310.15625/0866-7136/38/3/6063Direct numerical simulation of solidification with effects of density differenceVu Van Truong0Hanoi University of Science and Technology, Vietnam In this paper, direct numerical simulations are presented for solidification with the effects of density difference between the solid and liquid phases. A front-tracking method is used. The solidification front, i.e. the solid-liquid interface separating solid and liquid, is represented by connected elements that move on a rectangular and stationary grid. The Navier-Stokes equations are solved by a projection method on the entire domain including the solid phase. An indicator function reconstructed from the front information is used to set the velocities in the solid phase to zero, and thus to enforce the no-slip condition at the interface. The method is validated through comparisons with exact solutions for one- and two-dimensional problems. The method is then used to simulate the solidification processes with the effects of volume change due to density difference. https://vjs.ac.vn/index.php/vjmech/article/view/6063Direct numerical simulationfront-trackingsolidificationdensity difference |
| spellingShingle | Vu Van Truong Direct numerical simulation of solidification with effects of density difference Vietnam Journal of Mechanics Direct numerical simulation front-tracking solidification density difference |
| title | Direct numerical simulation of solidification with effects of density difference |
| title_full | Direct numerical simulation of solidification with effects of density difference |
| title_fullStr | Direct numerical simulation of solidification with effects of density difference |
| title_full_unstemmed | Direct numerical simulation of solidification with effects of density difference |
| title_short | Direct numerical simulation of solidification with effects of density difference |
| title_sort | direct numerical simulation of solidification with effects of density difference |
| topic | Direct numerical simulation front-tracking solidification density difference |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/6063 |
| work_keys_str_mv | AT vuvantruong directnumericalsimulationofsolidificationwitheffectsofdensitydifference |