Tracking and Reconstruction Methods for Moving-Interfaces

LIU Ru-xun; LIU Xiao-ping; ZHANG Lei; WANG Zhi-feng

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(3): 279-290

LIU Ru-xun, LIU Xiao-ping, ZHANG Lei, WANG Zhi-feng. Tracking and Reconstruction Methods for Moving-Interfaces[J]. Applied Mathematics and Mechanics, 2004, 25(3): 279-290.

Citation:

LIU Ru-xun, LIU Xiao-ping, ZHANG Lei, WANG Zhi-feng. Tracking and Reconstruction Methods for Moving-Interfaces[J]. Applied Mathematics and Mechanics, 2004, 25(3): 279-290.

Citation:

LIU Ru-xun, LIU Xiao-ping, ZHANG Lei, WANG Zhi-feng. Tracking and Reconstruction Methods for Moving-Interfaces[J]. Applied Mathematics and Mechanics, 2004, 25(3): 279-290.

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Tracking and Reconstruction Methods for Moving-Interfaces

1.
Department of Mathematics, University of Science and Technology of China, Hefei 230026, P. R. China;

Received Date: 2002-05-26
Rev Recd Date: 2003-10-06
Publish Date: 2004-03-15

Abstract

Abstract

A simple, efficient and accurate high resolution method to tracking moving-interfaces (the characteristisc integral) averaging finite volume method on unstructured meshes is proposed. And some numerical tests and evaluation of six main efficient methods for interface reconstruction are made. Through strict numerical simulation, their characters, advantages and shortcomings are compared, analyzed and commended in particular.
- moving-interface,
- interface-reconstruction,
- fluid volume function,
- integral-averaging,
- finite volume method

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References(16)

References

[1]	Hirt C W,Nichols B D.Volume of Fluid(VOF)method for the dynamics of free boundaries[J].J Comput Phys,1981,39:201—225. doi: 10.1016/0021-9991(81)90145-5
[2]	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
[3]	Rudman M.Volume-tracking methods for interfacial flow calculations[J].Int J Numer Meth Fluids,1997,24(7):671—691. doi: 10.1002/(SICI)1097-0363(19970415)24:7<671::AID-FLD508>3.0.CO;2-9
[4]	Rudman M.A volume-tracking method for incompressible multifluid flows with large density variations[J].Int J Numer Meth Fluids,1998,28(2):357—378. doi: 10.1002/(SICI)1097-0363(19980815)28:2<357::AID-FLD750>3.0.CO;2-D
[5]	Kim S O,No H C.Second-order model for free surface convection and interface reconstructions[J].Int J Numer Meth Fluids,1998,26(1):79—100. doi: 10.1002/(SICI)1097-0363(19980115)26:1<79::AID-FLD627>3.0.CO;2-9
[6]	Rider W J,Kothe D B.Reconstructing volume tracking[J].J Comput Phys,1998,141(2):112—152. doi: 10.1006/jcph.1998.5906
[7]	Gueyffier D,Li Jie.Volume-of-fluid interface tracking with smoothed surface stress methods for 3D flows[J].J Comput Phys,1999,152(2):423—456. doi: 10.1006/jcph.1998.6168
[8]	Youngs D L.Time-dependent multi-material flow with large fluid distortion[A].In:Morton K W,Baineks M J Eds.Numerical Methods for Fluid Dynamics.Academic[C].New York:Academic,1982.
[9]	Zalesak S T.Fully multidimensional flux-corrected transport algorithms for fluids[J].J Comput Phys,1979,31:335—362. doi: 10.1016/0021-9991(79)90051-2
[10]	Vincent S,Caltagirone J P.Efficient solving method for unsteady incompressible interfacial flow problems[J].Int J Numer Meth Fluids,1999,30(6):795—811. doi: 10.1002/(SICI)1097-0363(19990730)30:6<795::AID-FLD872>3.0.CO;2-2
[11]	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
[12]	Osher S,Sethian J A.Fronts propagating with curvature-dependent speed:algorithms based on Hamilton-Jacobi formulations[J].J Comput Phys,1988,79:12. doi: 10.1016/0021-9991(88)90002-2
[13]	Sethian J A.Theory,Algorithms,and Applications of Level Set Methods for Propagating Interface[M].Acta Numerica,Cambridge UK:Cambridge Univ Press,1995.
[14]	Sethian J A.Level Set Methods:Evolving Interfaces in Geometry,Fluid Mechanics,Computer Vision and Material Sciences[M].Cambridge UK:Cambridge Univ Press,1996.
[15]	Sussman M,Smereka P,Osher S.A level set approach for computing solutions to incompressible tow-phase flow[J].J Comput Phys,1994,114(1):146—149. doi: 10.1006/jcph.1994.1155
[16]	Chen S,Merriman B,Osher S,et al.A simple level set method for solving stefan problems[J].J Comput Phys,1997,135(1):8—29. doi: 10.1006/jcph.1997.5721