Abstract
A stencil-like volume of fluid (VOF) method is proposed for tracking free interface. A stencil on a grid cell is worked out according to the normal direction of the interface, in which only three interface positions are possible in 2D cases, and the interface can be reconstructed by only requiring the known local volume fraction information. On the other hand, the fluid-occupying-length is defined on each side of the stencil, through which a unified fluid-occupying volume model and a unified algorithm can be obtained to solve the interface advection equation. The method is suitable for the arbitrary geometry of the grid cell, and is extendible to 3D cases. Typical numerical examples show that the current method can give “sharp” results for tracking free interface.
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Hirt C W, Nichols B D. Volume of fluid (VOF) method for the dynamics of free boundaries[J]. J Comput Phys, 1981, 39(1):201–225.
Noh W F, Woodward P R. SLIC (simple line interface calculation)[C]. In: van de Vooren A, Zandbergen P (eds). Proceedings, Fifth International Conference on Fluid Dynamics, 59 of Lecture Notes in Physics, Berlin: Springer, 1976, 330–340.
Ashgriz N, Poo J Y. FLAIR: flux line-segment model for advection and interface reconstruction[J]. J Comput Phys, 1991, 93(2):449–468.
Youngs D L. Time-dependent multi-material flow with large fluid distortion[M]. In: Morton K W, Baines M J (eds). Numerical Methods for Fluid Dynamics, New York: Academic Press, 1982, 273–285.
Ubbink O, Issa R I. A method for capturing sharp fluid interfaces on arbitrary meshes[J]. J Comput Phys, 1999, 153(1):26–50.
Gueyffier D, Nadim A, Li J, Scardovelli R, Zaleski S. Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows[J]. J Comput Phys, 1998, 152(2):423–456.
Renardy Y, Renardy M. A. Parabolic reconstruction of surface tension for the volume-of-fluid method[J]. J Comput Phys, 2002, 183(2):400–421.
Afkhami S, Bussmann M. Height function-based contact angles for VOF simulations of contact line phenomena[J]. International Journal of Numerical Analysis and Modeling, 2004, 1(1):1–18.
Rider W J, Kothe B D. Reconstructing volume tracking[J]. J Comput Phys, 1998, 141(2):112–152.
Harvie C J E, Fletcher D F. A new volume of fluid advection algorithm: The stream scheme[J]. J Comput Phys, 2000, 162(1):1–32.
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Communicated by DAI Shi-qiang
Project supported by the National Natural Science Foundation of China (No. 10672097) and Shanghai Leading Academic Discipline Project (No. Y0103)
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Li, Xw., Fan, Jf. A stencil-like volume of fluid (VOF) method for tracking free interface. Appl. Math. Mech.-Engl. Ed. 29, 881–888 (2008). https://doi.org/10.1007/s10483-008-0706-7
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DOI: https://doi.org/10.1007/s10483-008-0706-7