A new volume of fluid method in three dimensions - Part II: Piecewise-planar interface reconstruction with cubic-Bézier fit

International Journal for Numerical Methods in Fluids

Volumn 58, Issue 8, 2008, Pages 923-944

  Lopez J ^a   Zanzi, C ^b   Gomez P ^b   Faura, F ^a   Hernandez J ^b  

^a TECHNICAL UNIVERSITY OF CARTAGENA   (Spain)

^b UNIVERSIDAD NACIONAL DE EDUCACIÓN A DISTANCIA   (Spain)

Author keywords

3D multidimensional advection; Cubic B zier interpolation; Level contour; PLIC interface reconstruction; Volume of fluid method; Volume tracking

Indexed keywords

ADVECTION; BRIDGE PIERS; INTERPOLATION; PIECEWISE LINEAR TECHNIQUES; RESTORATION;

3D MULTIDIMENSIONAL ADVECTION; LEVEL CONTOUR; PLIC INTERFACE RECONSTRUCTION; VOLUME OF FLUID METHOD; VOLUME TRACKING;

THREE DIMENSIONAL;

EID: 61749104191     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1775     Document Type: Article

References (28)

1. Scardovelli R, Zaleski S. Direct numerical simulation of free-surface and interfacial flow. Annual Review of Fluid Mechanics 1999; 31:567-603.
2. Rider WJ, Kothe DB. Reconstructing volume tracking. Journal of Computational Physics 1998; 141:112-152.
3. Rudman M. Volume tracking methods for interfacial flow calculations. International Journal for Numerical Methods in Fluids 1997; 24:671-691.
4. Youngs DL. An interface tracking method for a 3D Eulerian hydrodynamics code. Technical Report 44/92/35, AWRE, 1984.
5. Puckett EG. A volume of fluid interface tracking algorithm with applications to computing shock wave rarefraction. Proceedings of the 4th International Symposium on Computational Fluid Dynamics, Davis, CA. University of California at Davis: Davis, 1991; 933-938.
6. Chorin AJ. Curvature and solidification. Journal of Computational Physics 1985; 58:472-490.
7. Swartz B. The second-order sharpening of blurred smooth borders. Mathematics of Computation 1989; 52(186):675-714.
8. Mosso SJ, Swartz BK, Kothe DB, Ferrell RC. A parallel, volume-tracking algorithm for unstructured meshes. Parallel Computational Fluid Dynamics'96, Italy, 1996.
9. López J, Hernández J, Gómez P, Faura F. A volume of fluid method based on multidimensional advection and spline interface reconstruction. Journal of Computational Physics 2004; 195:718-742.
10. López J, Hernández J, Gómez P, Faura F. An improved PLIC-VOF method for tracking thin fluid structures in incompressible two-phase flows. Journal of Computational Physics 2005; 208:51-74.
11. Pilliod JE, Puckett EG. Second-order volume-of-fluid algorithms for tracking material interfaces. Technical Report LBNL-40744, Lawrence Berkeley National Laboratory, 1997.
12. Pilliod JE, Puckett EG. Second-order accurate volume-of-fluid algorithms for tracking material interfaces. Journal of Computational Physics 2004; 199:465-502.
13. Miller GH, Colella P. A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing. Journal of Computational Physics 2002; 183:26-82.
14. Liovic P, Rudman M, Liow J-L, Lakehal D, Kothe D. A 3D unsplit-advection volume tracking algorithm with planarity-preserving interface reconstruction. Computers and Fluids 2006; 35:1011-1032.
15. Aulisa E, Manservisi S, Scardovelli R, Zaleski S. Interface reconstruction with least-squares fit and split advection in three-dimensional Cartesian geometry. Journal of Computational Physics 2007; 225:2301-2319.
16. Shin S, Juric D. Modeling three-dimensional multiphase flow using a level contour reconstruction method for front tracking without connectivity. Journal of Computational Physics 2002; 180:427-470.
17. Scardovelli R, Zaleski S. Analytical relations connecting linear interfaces and volume fractions in rectangular grids. Journal of Computational Physics 2000; 164:228-237.
18. Press WH, Teukolsky SA, Vetterling WT, Flannery BP. Numerical Recipes in Fortran. Cambridge University Press: Cambridge, U.K., 1986.
19. Farin G. Curves and Surfaces for Computer-Aided Geometric Design, A Practical Guide (4th edn). Academic Press: San Diego, 1997.
20. Hernández J, López J, Gómez P, Zanzi C, Faura F. A new volume of fluid method in three dimensions - Part I: Multidimensional advection method with face-matched flux polyhedra. International Journal for Numerical Methods in Fluids 2008; DOI: 10.1002/fld.1776.
21. Francois MM, Cummins SJ, Dendy ED, Kothe DB, Sicilian JM, Williams MW. A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework. Journal of Computational Physics 2006; 213:141-173.
22. Cummins SJ, Francois MM, Kothe DB. Estimating curvature from volume fractions. Computers and Structures 2005; 83:425-434.
23. Harvie DJE, Fletcher DF. A new volume of fluid advection algorithm: the stream scheme. Journal of Computational Physics 2000; 162:1-32.
24. LeVeque R. High-resolution conservative algorithms for advection in incompressible flow. SIAM Journal on Numerical Analysis 1996; 33:627-665.
25. Enright D, Fedkiw R, Ferziger J, Mitchell I. A hybrid particle level set method for improved interface capturing. Journal of Computational Physics 2002; 183:83-116.
26. Du J, Fix B, Glimm J, Jia X, Li X, Li Y, Wu L. A simple package for front tracking. Journal of Computational Physics 2006; 213:613-628.
27. Gueyffier D, Li J, Nadim A, Scardovelli R, Zaleski S. Volume of fluid interface tracking with smoothed surface stress methods for three-dimensional flows. Journal of Computational Physics 1999; 152:423-456.
28. Biausser B, Guignard S, Marcer R, Fraunie P. 3D two phase flows numerical simulations by SL-VOF method. International Journal for Numerical Methods in Fluids 2004; 45:581-604.