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A first‐order volume of fluid convection model in three‐dimensional space
Author(s) -
Kim SeongO.,
Sim Yoonsub,
Kim EuiKwang
Publication year - 2001
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.128
Subject(s) - volume of fluid method , mechanics , convection , space (punctuation) , surface (topology) , spheres , free surface , volume fraction , finite volume method , volume (thermodynamics) , computational fluid dynamics , mathematics , geometry , physics , thermodynamics , computer science , flow (mathematics) , astronomy , operating system
Abstract To improve the numerical analysis of free surface convections and reconstruction in a three‐dimensional space, a first‐order algorithm is developed based on the volume of fluid (VOF) theory. The methodology applied to the first‐order method (FOM) is to define a first‐order surface as near to the horizontal as possible while satisfying the defined volume fraction of a cell. The developed method is compared against the donor cell method of zeroth‐order through simulation of the transitional and rotational convection of liquid spheres. Although the donor cell method shows relatively good predictions for the sphere of a large diameter, it shows poor performance of large distortions for a sphere of a relatively small diameter. However, the FOM developed in this study always shows quite satisfactory prediction results for free surface convection. Copyright © 2001 John Wiley & Sons, Ltd.