A Stencillike Volume-of-Fluid (VOF) Method for Tracking Free Interface

LI Xiao-wei; FAN Jun-fei

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(7): 799-805

LI Xiao-wei, FAN Jun-fei. A Stencillike Volume-of-Fluid (VOF) Method for Tracking Free Interface[J]. Applied Mathematics and Mechanics, 2008, 29(7): 799-805.

Citation:

LI Xiao-wei, FAN Jun-fei. A Stencillike Volume-of-Fluid (VOF) Method for Tracking Free Interface[J]. Applied Mathematics and Mechanics, 2008, 29(7): 799-805.

Citation:

LI Xiao-wei, FAN Jun-fei. A Stencillike Volume-of-Fluid (VOF) Method for Tracking Free Interface[J]. Applied Mathematics and Mechanics, 2008, 29(7): 799-805.

PDF( 1610 KB)

A Stencillike Volume-of-Fluid (VOF) Method for Tracking Free Interface

LI Xiao-wei¹,
FAN Jun-fei²

1.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;

Received Date: 2007-07-23
Rev Recd Date: 2008-05-08
Publish Date: 2008-07-15

Abstract

Abstract

A stencillike 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 was defined on each side of the stencil,through which a unified fluid occupying volume model and the unified algorithm can be resulted for solving the interface advection equation.The method is suitable for arbitrary geometry of the grid cell,and is extendible to 3D cases.The typical numerical examples show that the current method can give "sharp" result for tracking free interface.
- VOF method,
- fluid volume fraction function,
- interface-reconstruction

FullText(HTML)

References(10)

References

[1]	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. doi: 10.1016/0021-9991(81)90145-5
[2]	Noh W F, Woodward P R. SLIC (simple line interface calculation)[A].In: Van de Vooren A, Zandbergen P，Eds.Proceedings of Fifth International Conference on Fluid Dynamics, 59 of Lecture Notes in Physics[C].Berlin:Springer,1976,330-340.
[3]	Ashgriz N, Poo J Y.FLAIR: Flux line-segment model for advection and interface reconstruction[J].J Comput Phys,1991,93(2):449-468. doi: 10.1016/0021-9991(91)90194-P
[4]	Youngs D L.Time-dependent multi-material flow with large fluid distortion[A].In:Morton K W,Baines M J,Eds.Numerical Methods for Fluid Dynamics[C].New York:Academic Press,1982,273-285.
[5]	Ubbink O, Issa R I.A method for capturing sharp fluid interfaces on arbitrary meshes[J].J Comput Phys,1999,153(1):26-50. doi: 10.1006/jcph.1999.6276
[6]	Gueyffier D, Nadim A,Li J,et al.Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows[J].J Comput Phys,1998,152(2):423-456.
[7]	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. doi: 10.1006/jcph.2002.7190
[8]	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.
[9]	Rider W J, Kothe B D.Reconstructing volume tracking[J].J Comput Phys,1998,141(2):112-152. doi: 10.1006/jcph.1998.5906
[10]	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. doi: 10.1006/jcph.2000.6510