Second-order model for free surface convection and interface reconstruction
✍ Scribed by Seong-O. Kim; Hee Cheon No
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 611 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0271-2091
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✦ Synopsis
To improve the numerical analysis of free surface convection and interface reconstruction, both ®rst-and secondorder algorithms are developed based on the volume-of-¯uid method. The methodology applied to the secondorder model is to de®ne the second-order linear curve having both face slopes as near horizontal as possible while satisfying the cell's de®ned volume fraction.
The second-order method is compared with the FLAIR method and the ®rst-order method through simulation of the convection for various sizes of circular liquid shapes and solitary waves. For small curvature of the free surface, e.g. circles with large diameter, linear methods such as the FLAIR method and the ®rst-order method show relatively good predictions. However, for large-curvature con®gurations, e.g. circles with relatively small diameter or solitary waves, the linear approach shows large distortion of the free surface. In contrast, the secondorder model always shows powerful prediction capabilities of free surface convection.