Convected level set method for the numerical simulation of fluid buckling

International Journal for Numerical Methods in Fluids

Volumn 66, Issue 3, 2011, Pages 324-344

  Ville, Laurence ^a   Silva, Luisa ^a   Coupez, Thierry ^a  

^a PSL RESEARCH UNIVERSITY   (France)

Author keywords

Fluid buckling; Free surface flows; Jet buckling; Level set; Reinitialization

Indexed keywords

AIR ENTRAPMENT; DISTANCE FUNCTIONS; FLAT SURFACES; FREE SURFACE FLOW PROBLEM; FREE SURFACE FLOWS; HIGH VISCOSITY FLUIDS; INTERFACE CAPTURING; LEVEL SET; LEVEL SET METHOD; MOLD FILLING; NUMERICAL RESULTS; NUMERICAL SIMULATION; REINITIALIZATION; TRANSPORT EQUATION;

BUCKLING; DROP BREAKUP; FLUIDS; INDUSTRIAL APPLICATIONS; INJECTION MOLDING; LEVEL MEASUREMENT; MOLDS; NUMERICAL METHODS; SURFACES;

FLOW OF FLUIDS;

EID: 79955147500     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.2259     Document Type: Article

References (23)

1. Taylor GI. Instability of jets, threads, and sheets of viscous fluid. Twelfth Proceedings of the International Congress of Applied Mechanics. Springer: Berlin, 1968.
2. Cruickshank JO. Viscous fluid buckling: a theoretical and experimental analysis with extensions to general fluid stability. Ph.D. Dissertation, Iowa State University, Ames, IA, 1980.
3. Cruickshank JO. Low-Reynolds-number instabilities in stagnating jet flows. Journal of Fluid Mechanics 1987; 193:111-127.
4. Cruickshank JO, Munson BR. Viscous fluid buckling of plane and axysimmetric jets. Journal of Fluid Mechanics 1981; 113:221-239.
5. Cruickshank JO, Munson BR. A theoretical prediction of the fluid buckling frequency. Physics of Fluids 1982; 26:928-930.
6. Mahadevan L. Fluid 'rope trick' investigated. Nature 1998; 392:140.
7. Tome MF, Duffy B, McKee S. A numerical technique for solving unsteady non-Newtonian free surface flows. Journal of Non-Newtonian Fluids Mechanics 1995; 62:9-34.
8. Tome MF. Viscous fluid buckling: a theoritical and experimental analysis with extensions to general fluid stability. Ph.D. Dissertation, University of Strathclyde, Glasgow, U.K., 1993.
9. Tome MF, McKee S. Numerical simulation of viscous flow: buckling of planar jets. International Journal for Numerical Methods in Fluids 1999; 29:705-718.
10. Tome MF, Grossi L, Castelo A, Cuminato JA, Mangiavacchi N, Ferreira VG, De Sousa FS, McKee S. A numerical method for solving three-dimensional generalized Newtonian free surface flows. Journal of Non-Newtonian Fluids Mechanics 2004; 123:2-3.
11. Breil J. Modélisation du remplissage en propergol de moteur à propulsion solide. Ph.D. Dissertation, Ecole doctorale des sciences physiques et de l'ingenieur, Bordeaux, France, 2001.
12. Pichelin E, Coupez T. Finite element solution of the 3D mold filling problem for viscous incompressible fluid. Computer Methods in Applied Mechanics and Engineering 1998; 163:359-371.
13. Bonito A, Picasso M, Laso M. Numerical simulation of 3d viscoelastic flows with free surface. Journal of Computational Physics 2006; 215:691-716.
14. Vincent S, Caltagirone JP. Efficient solving method for unsteady incompressible interfacial flow problems. International Journal for Numerical Methods in Fluids 1999; 30:795-811.
15. Osher S, Sethian JA. Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics 1988; 79:12-49.
16. Basset O. Simulation numrique d'coulements multi fluides sur grille de calcul. Ph.D. Dissertation, Ecole nationale suprieure des Mines de Paris, Paris, France, 2006.
17. Coupez T. Reinitialisation convective et locale des fonctions Level Set pour le mouvement de surfaces et d'interfaces. Journes Activits Universitaires et Mcanique, La Rochelle, France, 2006.
18. Hughes TJR. Recent progress in the development and understanding of supg methods with special reference to the compressible Euler and Navier-Stokes equations. International Journal for Numerical Methods in Fluids 1987; 7:1261-1275.
19. Arnold DN, Brezzi F, Fortin M. A stable finite element for the stokes equations. Calcolo 1983; 21:337-344.
20. Coupez T. Stabilisation using bubbles in F.E. time dependent problem with application in forming. Tenth ESAFORM Conference on Material Forming. AIP Conference Proceedings, Zaragoza, Spain, vol. 907, 2007; 1396-1401.
21. Balay S, Buschelman K, Gropp WD, Kaushik D, Knepley M, McInnes LC, Smith BF, Zhang H. PETSc: Users Manual ANL-95/11-Revision 2.1.5, Argonne National Laboratory, 2002.
22. Brezzi F, Russo A. Choosing bubbles for advection-diffusion problems. Mathematical Models and Methods in Applied Sciences 1994; 4:571-587.
23. Coupez T, Digonnet H, Rodriguez-Villa A, Zerguine W, Silva L. Multifluid flows, interface capturing and application to the simulation of the water assisted injection molding process. Twenty-second Annual Meeting of the Polymer Processing Society, Yamagata, Japan, 2006.