A novel representation of the surface tension force for two-phase flow with reduced spurious currents

Computer Methods in Applied Mechanics and Engineering

Volumn 195, Issue 44-47, 2006, Pages 6239-6257

  Aulisa, E ^a   Manservisi, S ^a,b   Scardovelli, R ^b  

^a TEXAS TECH UNIVERSITY   (United States)

^b UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

Capillary force; Finite element methods; Interface front tracking; Navier Stokes equations; Two phase flows

Indexed keywords

ALGORITHMS; CAPILLARY FLOW; DAMPING; FINITE ELEMENT METHOD; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; OSCILLATIONS; REYNOLDS NUMBER; SURFACE TENSION;

CAPILLARY FORCE; INTERFACE FRONT-TRACKING; SPURIOUS CURRENTS;

TWO PHASE FLOW;

ALGORITHMS; CAPILLARY FLOW; DAMPING; FINITE ELEMENT METHOD; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; OSCILLATIONS; REYNOLDS NUMBER; SURFACE TENSION; TWO PHASE FLOW;

EID: 33745969105     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.12.006     Document Type: Article

References (29)

1. Glimm J., Graham M.J., Grove J., Li X.L., Smith T.M., Tan D., Tangerman F., and Zhang Q. Front tracking in two and three dimensions. Comput. Math. Appl. 35 (1998) 1-11
2. Glimm J., Grove J.W., Li X.L., Shyue K., Zeng Y., and Zhang Q. Three-dimensional front tracking. SIAM J. Scient. Comput. 19 (1998) 703-727
3. Osher S., and Fedkiw R. Level set methods: an overview and some recent results. J. Comput. Phys. 169 (2001) 463-502
4. Scardovelli R., and Zaleski S. Direct numerical simulation of free-surface and interfacial flow. Ann. Rev. Fluid Mech. 31 (1999) 567-603
5. Tryggvason G., Brunnen B., Esmaeli A., Juric D., Al-Rawahi N., Tauber W., Han J., Nas S., and Jan Y.J. A front-tracking method for the computations of multiphase flow. J. Comput. Phys. 169 (2001) 708-759
6. Brackbill J.U., Kothe D.B., and Zemach C. A continuum method for modeling surface tension. J. Comput. Phys. 100 (1992) 335-354
7. Lafaurie B., Nardone C., Scardovelli R., Zaleski S., and Zanetti G. Modelling merging and fragmentation in multiphase flows with SURFER. J. Comput. Phys. 113 (1994) 134-147
8. Bramble J.H. Multigrid Methods. Pitman Research Notes in Mathematics vol. 294 (1993), Longman, London
9. Aulisa E., Manservisi S., and Scardovelli R. A mixed markers and volume-of-fluid method for the reconstruction and advection of interfaces in two-phase and free-boundary flows. J. Comput. Phys. 188 (2003) 611-639
10. Aulisa E., Manservisi S., and Scardovelli R. A surface marker algorithm coupled to an area-preserving marker redistribution method for three-dimensional interface tracking. J. Comput. Phys. 197 (2004) 555-584
11. Aubert F., Aulisa E., Manservisi S., and Scardovelli R. Interface tracking with dynamically-redistributed surface markers in unstructured quadrangular grid. Comput. Fluids 35 (2006) 675-686
12. Adams R.A. Sobolev Spaces (1975), Academic Press, New York
13. Temam R. Navier-Stokes Equation (1977), North-Holland, Amsterdam
14. V. Girault, P.A. Raviart, Finite element methods for Navier-Stokes equations: theory and algorithms, Springer Series in Computational Mathematics, vol. 5, New York, 1986.
15. Vanka S. Block-implicit multigrid solution of Navier-Stokes equations in primitive variables. J. Comput. Phys. 65 (1986) 138-158
16. John V. A comparison of parallel solvers for the incompressible Navier-Stokes equations. Comput. Visualiz. Sci. 1 (1999) 193-200
17. John V., and Tobiska L. Numerical performance of smoothers in coupled multigrid methods for the parallel solution of the incompressible Navier-Stokes equations. Int. J. Numer. Methods Fluids 33 (2000) 453-473
18. Paisley M.F., and Bhatti N.M. Comparison of multigrid methods for neutral and stably stratified flows over two-dimensional obstacles. J. Comput. Phys. 142 (1998) 581-610
19. S. Turek, Multilevel pressure Schur complement techniques for the numerical solution of the incompressible Navier-Stokes equations, Ph.D. dissertation, 1997.
20. Kothe D.B., Williams M.W., and Puckett E.G. Accuracy and convergence of continuum surface tension models. Fluid Dynamics at Interfaces (1998), Cambridge University Press
21. Sussman M., and Puckett E.G. A coupled level set and VOF method for computing 3D and axisymmetric incompressible two-phase flows. J. Comput. Phys. 162 (2000) 301-337
22. Renardy Y.Y., and Renardy M. PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method. J. Comput. Phys. 183 (2002) 400-421
23. Popinet S., and Zaleski S. A front-tracking algorithm for accurate representation of surface tension. Int. J. Numer. Methods Fluids 30 (1999) 775-793
24. Fyfe D.E., Oran E.S., and Fritts M.J. Surface tension and viscosity with Lagrangian hydrodynamics on a triangular mesh. J. Comput. Phys. 76 (1988) 349-384
25. Shin S., and Juric D. Modeling three-dimensional multiphase flow using a level contour reconstruction method for front tracking without connectivity. J. Comput. Phys. 180 (2002) 427-470
26. Lamb H. Hydrodynamics (1932), Cambridge University Press, Cambridge
27. Prosperetti A. Free oscillations of drops and bubbles: the initial-value problem. J. Fluid Mech. 100 (1980) 333-347
28. Meradji S., Lyubimova T.P., Lyubimov D.V., and Roux B. Numerical simulation of a liquid drop freely oscillating. Cryst. Res. Technol. 36 (2001) 729-744
29. Basaran O.A. Nonlinear oscillations of viscous liquid drops. J. Fluid Mech. 241 (1992) 169-198