Parallel adaptive simulation of a plunging liquid jet

Acta Mathematica Scientia

Volumn 30, Issue 2, 2010, Pages 522-538

  Galimov, Azat Yu ^a   Sahni, Onkar ^a   Lahey Jr , Richard T ^a   Shephard, Mark S ^a   Drew, Donald A ^a   Jansen, Kenneth E ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

65Y05; 76B10; 76M10; air entrainment; level set method; parallel adaptive simulation; plunging liquid jet; two phase ows

Indexed keywords

EID: 77950235011     PISSN: 02529602     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0252-9602(10)60060-4     Document Type: Article

References (38)

1. McCurdy E. The Notebooks of Leonardo Da Vinci. six-th ed. Vol 2 (1956), Jonathan Cape, London, UK
2. Rayleigh L. On the instability of jets. Proc Lond Math Soc 10 (1878) 4-13
3. Rayleigh L. On the capillary phenomena of jets. Proc Roy Math Soc London A 29 (1879) 71-97
4. Rayleigh L. On the instability of a cylinder of viscous liquid under capillary force. Phil Mag 34 (1892) 145-154
5. Ehrenberger R. Wasserbewegung in steilen Rinnen (Susstennen) mit besonderer Berucksichtigung der SelSelbstbeluftung (Flow of water in Steep Chutes with Special reference to Self-aeration). Zeittschrift des Osterreichischer Ingebieur und Architektverein. No 15/16 and 17/18 (in German), 1926
6. Weber C. Zum Zerfall eines Flussigkeitsstrahles. Z Angew Math Mech 11 (1931) 136-154 (in German)
7. Tomotika S. On the instability of a cylindrical thread of a viscous liquid surrounded by another viscous fluid. Proc Roy Math Soc London A 150 (1935) 322-337
8. McKeogh E.J., and Ervine D.A. Air entrainment rate and diffusion pattern of plunging liquid jets. Chem Eng Sci 36 (1981) 1161-1172
9. Bonetto F., and Lahey Jr. R.T. An experimental study on air carryunder due to a plunging liquid jet. Int J Multiphase Flow 19 2 (1993) 281-294
10. Chanson H. Air Bubble Entrainment in Free-Surface Turbulent Shear Flows (1996), Academic Press
11. Davoust L., Achard J.L., and Hammoumi M. Air entrainment by a plunging jet: the dynamical roughness concept and its estimation by a light absorbtion technique. Int J Multiphase Flow 28 9 (2002) 1541-1564
12. Chanson H., and Manasseh R. Air entrainment processes in a circular plunging jet: Void-fraction and acoustic measurements. J Fluids Eng 125 5 (2003) 910-921
13. Bonetto F., Drew D.A., and Lahey Jr. R.T. The analysis of a plunging liquid jet-the air entrainment process. Chem Eng Commun 130 (1994) 11-29
14. Zhu Y., Oguz H.N., and Prosperetti A. On the mechanism of air entrainment by liquid jets at a free surface. J Fluid Mech 404 (2000) 151-177
15. Lorenceau E, Reyssat E, Restango F, Eggers J, Quere D. On liquid/liquid impect//Proceeding of 6th Int Conf on Multiphase Flow (ICMF 2007). Leipzig, Germany, July 9-13, 2007
16. Jansen K.E., Whiting C., and Hulbert G.M. A generalized-alpha method for integrating the filtered Navier-Stokes equations with a stabilized finite element method. Comput Methods Appl Mech Eng 190 (2000) 305-319
17. Müller J., Sahni O., Li X., Jansen K.E., Shephard M.S., and Taylor C.A. Anisotropic adaptive finite element method for modeling blood flow. Comput Methods in Biomech Biomed Eng 8 5 (2005) 295-305
18. Whiting C.H., and Jansen K.E. A stabilized finite element method for the incompressible Navier-Stokes equations using hierarchical basis. Int J Numer Methods Fluids 35 (2001) 93-116
19. Nagrath S., Jansen K.E., and Lahey Jr. R.T. Computation of incompressible bubble dynamics with a stabilized finite element level set method. Comp Methods Applied Mech Eng 194 42/44 (2005) 4565-4587
20. Nagrath S., Jansen K., Lahey Jr. R.T., and Akhatov I. Hydrodynamic simulation of air bubble implosion using a level set approach. J Comput Phys 215 1 (2006) 98-132
21. Osher S., and Fedkiw R. Level Set Methods and Dynamic Implicit Surfaces (2003), Springer-Verlag, New York
22. Brackbill J.U., Kothe D.B., and Zemach C. A continuum method for modeling surface tension. J Comput Phys 100 (1992) 335-354
23. Sussman M., Almgren A.S., Bell J.B., Howell L.H., Colella P., and Welcome W.L. An adaptive level set approach for incompressible two-phase flows. J Comput Phys 148 (1999) 81-124
24. Taylor C.A., Hughes T.J.R., and Zarins C.K. Finite element modeling of blood flow in arteries. Comp Meth Appl Mech Eng 158 (1998) 155-196
25. www.simmetrix.com
26. De Cougny H.L., and Shephard M.S. Parallel refinement and coarsening of tetrahedral meshes. Int J Numer Meth Eng 46 (1999) 1101-1125
27. Sahni O, Zhou M, Shephard M S, Jansen K E. Scalable implicit finite element solver for massively parallel processing with demonstration to 160 K cores//Proc 2009 ACM/IEEE Conference on Supercomputing. Portland, OR, November, 2009
28. Ainsworth M., and Oden J.T. A Posteriori Error Estimation in Finite Element Analysis (2000), John Wiley & Sons, New York
29. Saad Y., and Schultz M.H. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J Sci Stat Comput 7 (1986) 856-869
30. Karypis G., and Kumar V. Parallel multilevel k-way partitioning scheme for irregular graphs. SIAM Review 41 (1999) 278-300
31. Catalyurek U, Boman E, Devine K, Bozdag D, Heaphy R, Riesen L. Hypergraph-based dynamic load balancing for adaptive scientific computations//Proc of IEEE Intl Parallel and Distributed Processing Symp (IPDPS). Long Beach, CA, March, 2007
32. Beall M.W., and Shephard M.S. A general topology-based mesh data structure. Int J Numer Meth Engng 40 9 (1997) 1573-1596
33. Shephard M.S., Flaherty J.E., Bottasso C.L., de Cougny H.L., Ozturan C., and Simone M.L. Parallel automated adaptive analysis. Parallel Computing 23 (1997) 1327-1347
34. Flaherty J.E., Loy R.M., Ozturan C., Shephard M.S., Szymanski B.K., Terresco J.D., and Ziantz L.H. Parallel structures and dynamic load balancing for adaptive finite element computations. Appl Numer Math 26 1/2 (1998) 241-263
35. Li X., Shephard M.S., and Beall M.W. 3-D anisotropic mesh adaptation by mesh modifications. Comp Meth Appl Mech Eng 194 48/49 (2005) 4915-4950
36. Sahni O., Mueller J., Jansen K.E., Shephard M.S., and Taylor C.A. Efficient anisotropic adaptive discretization of the cardiovascular system. Comp Meth Appl Mech Eng 195 41/43 (2006) 5634-5655
37. Li X., Shephard M.S., and Beall M.W. Accouting for curved domains in mesh adaptation. Int J Numer Meth Eng 58 (2003) 246-276
38. Shephard M.S., Flaherty J.E., Jansen K.E., Li X., Luo X.-J., Chevaugeon N., Remacle J.-F., Beall M.W., and O'Bara R.M. Adaptive mesh generation for curved domains. J Appl Num Math 53 2/3 (2005) 251-271