A mixed markers and volume-of-fluid method for the reconstruction and advection of interfaces in two-phase and free-boundary flows

Journal of Computational Physics

Volumn 188, Issue 2, 2003, Pages 611-639

  Aulisa, Eugenio ^a   Manservisi, Sandro ^a   Scardovelli, Ruben ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

Front tracking; Hybrid method; Reconstruction and advection of interfaces; Two phase flow; Volume tracking

Indexed keywords

ADVECTION; VOLUME FRACTION;

BOUNDARY FLOWS; FREE BOUNDARY; FRONT TRACKING; HYBRID METHOD; RECONSTRUCTION AND ADVECTION OF INTERFACE; TWO PHASE; TWO PHASES FLOW; VOLUME OF FLUID ALGORITHMS; VOLUME TRACKING; VOLUME-OF-FLUID METHOD;

TWO PHASE FLOW;

EID: 0038346317     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9991(03)00196-7     Document Type: Article

References (40)

1. R. Adams, Sobolev Spaces, Academic Press, New York, 1975.
2. A. Amsden, Numerical calculation of surface waves: a modified ZUNI code with surface particles and partial cells, Technical Report LA-5146, Los Alamos Scientific Laboratory, 1973.
3. J.B. Bell, P. Colella, H.M. Glaz, A second-order projection method for the incompressible Navier-Stokes equations, J. Comput. Phys. 85 (1989) 257.
4. J.U. Brackbill, D.B. Kothe, C. Zemach, A continuum method for modeling surface tension, J. Comput. Phys. 100 (1992) 335.
5. S. Chen, D. Johnson, P. Raad, D. Fadda, The surfer marker and micro cell method, Int. J. Numer. Meth. Fluids 25 (1997) 749.
6. D. Enright, R. Fedkiw, J. Ferziger, I. Mitchell, A hybrid particle level set method for improved interface capturing, J. Comput. Phys. 183 (2002) 83.
7. J. Glimm, M.J. Graham, J. Grove, X.L. Li, T.M. Smith, D. Tan, F. Tangerman, Q. Zhang, Front tracking in two and three dimensions, Comput. Math. Appl. 35 (1998) 1.
8. D. Gueyffier, A. Nadim, J. Li, R. Scardovelli, S. Zaleski, Volume of fluid interface tracking with smoothed surface stress methods for three-dimensional flows, J. Comput. Phys. 152 (1999) 423.
9. F.H. Harlow, J.E. Welch, Numerical calculation of time-dependent viscous incompressible flow of fluid with a free surface, Phys. Fluids 8 (1965) 2182.
10. D.J.E. Harvie, D.F. Fletcher, A new volume of fluid advection algorithm: the stream scheme, J. Comput. Phys. 162 (2000) 1.
11. D.J.E. Harvie, D.F. Fletcher, A new volume of fluid advection algorithm: the defined donating region scheme, Int. J. Numer. Meth. Fluids 35 (2001) 151.
12. D. Jacqmin, Calculation of two-phase Navier-Stokes flows using phase-field modeling, J. Comput. Phys. 155 (1999) 96.
13. D. Jamet, O. Lebaigue, N. Coutris, J.M. Delhaye, The second gradient method for the direct numerical simulation of liquid-vapor flows with phase change, J. Comput. Phys. 169 (2001) 624.
14. B. Lafaurie, C. Nardone, R. Scardovelli, S. Zaleski, G. Zanetti, Modelling merging and fragmentation in multiphase flows with SURFER, J. Comput. Phys. 113 (1994) 134.
15. R.J. Leveque, High-resolution conservative algorithms for advection in incompressible flow, SIAM J. Numer. Anal. 33 (1996) 627.
16. S. Osher, R. Fedkiw, Level set methods: an overview and some recent results, J. Comput. Phys. 169 (2001) 463-502.
17. J.E. Pilliod Jr., E.G. Puckett, Second-order accurate volume-of-fluid algorithms for tracking material interfaces, Technical Report No. LBNL-40744, Lawrence Berkeley National Laboratory, 1997.
18. S. Popinet, S. Zaleski, A front-tracking algorithm for accurate representation of surface tension, Int. J. Numer. Meth. Fluids 30 (1999) 775.
19. W.H. Press, S.A. Teukolsky, W.T. Vetterling, B.P. Flannery, Numerical Recipes in C++ and C for Unix/Linux, V2.11, Cambridge University Press, Cambridge, 2000.
20. E.G. Puckett, A.S. Almgren, J.B. Bell, D.L. Marcus, W.J. Rider, A high-order projection method for tracking fluid interfaces in variable density incompressible flow, J. Comput. Phys. 130 (1997) 269.
21. M. Renardy, Y. Renardy, J. Li, Numerical simulation of moving contact lines using a volume-of-fluid method, J. Comput. Phys. 171 (2001) 243.
22. W.J. Rider, D.B. Kothe, A marker particle method for interface tracking, in: H. Dwyer (Ed.), Proceedings of the Sixth International Symposium on Computational Fluid Dynamics, 1995, p. 976.
23. W.J. Rider, D.B. Kothe, Stretching and tearing interface tracking methods, in: 12th AIAA CFD Conference, AIAA 95, 1995.
24. W.J. Rider, D.B. Kothe, Reconstructing volume tracking, J. Comput. Phys. 141 (1998) 112.
25. M. Rudman, Volume-tracking methods for interfacial flow calculations, Int. J. Numer. Meth. Fluids 24 (1997) 671.
26. R. Scardovelli, S. Zaleski, Direct numerical simulation of free-surface and interfacial flow, Annu. Rev. Fluid Mech. 31 (1999) 567.
27. R. Scardovelli, S. Zaleski, Analytical relations connecting linear interfaces and volume fractions in rectangular grids, J. Comput. Phys. 164 (2000) 228.
28. R. Scardovelli, S. Zaleski, Interface reconstruction with least-square fit and split Eulerian-Lagrangian advection, Int. J. Numer. Meth. Fluids 41 (2003) 251.
29. J. Sethian, Evolution, implementation and application of level set and fast marching methods for advancing fronts, J. Comput. Phys. 169 (2001) 463-502.
30. S. Shin, D. Juric, Modeling three-dimensional multiphase flow using a level countour reconstruction method for front tracking without connectivity, J. Comput. Phys. 180 (2002) 427-470.
31. P.K. Smolarkiewicz, The multi-dimensional Crowley advection scheme, Mon. Weather Rev. 110 (1982) 1968.
32. M. Sussman, E. Fatemi, An efficient, interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow, SIAM J. Sci. Comput. 20 (1999) 1165.
33. M. Sussman, E. Fatemi, P. Smereka, S. Osher, An improved level set method for incompressible two-phase flows, Comput. Fluids 27 (1998) 663.
34. M. Sussman, E. Puckett, A coupled level set and VOF method for computing 3D and axisymmetric incompressible two-phase flows, J. Comput. Phys. 162 (2000) 301.
35. D. Torres, J.U. Brackbill, The point-set method: front tracking without connectivity, J. Comput. Phys. 165 (2000) 620.
36. G. Tryggvason, B. Brunnen, A. Esmaeli, D. Juric, N. Al-Rawahi, W. Tauber, J. Han, S. Nas, Y.J. Jan, A front-tracking method for the computations of multiphase flow, J. Comput. Phys. 169 (2001) 708.
37. S.O. Unverdi, G. Tryggvason, A front-tracking method for viscous, incompressible, multi-fluid flows, J. Comput. Phys. 100 (1992) 25.
38. M.W. Williams, D.B. Kothe, E.G. Puckett, Convergence and accuracy of kernel-basee continuum surface tension models, in: W. Shyy (Ed.), Fluid Mechanics at Interfaces, Cambridge, MA, 1999, p. 347.
39. D.L. Youngs, Time-dependent multi-material flow with large fluid distortion, in: K.W. Morton, M.J. Baines (Eds.), Numerical Methods for Fluid Dynamics, Academic Press, New York, 1982.
40. S. Zalesak, Fully multidimensional flux-corrected transport algorithm for fluids, J. Comput. Phys. 31 (1975) 335.