[9] Boisson N, Malin M R. Numerical prediction of two-phase flow in bubble columns[J]. International Journal for Numerical Methods in Fluids, 1996, 23(12): 1289-1310.
[10]Chahed J, Roig V, Masbernat L. Eulerian-Eulerian two-fluid model for turbulent gas-liquid bubbly flows[J]. InternationalJournal of Multiphase Flow, 2003, 29(1): 23-49.
[13]
[11]Arakeri V H, Acosta A J. Viscous effects in the inception of cavitation on axisymmetric bodies[J]. Journal of Fluids Engineering, 1973, 95(4): 519-527.
[14]
[12]Belahadji B, Franc J P, Michel J M. Cavitation in the rotational structures of a turbulent wake[J]. Journal of Fluid Mechanics, 1995, 287(1): 383-403.
[15]
[13]Hunt J C R, Wray A A, Moin P. Eddies, streams, and convergence zones in turbulent flows[C]//Studying Turbulence Using Numerical Simulation Databases.Washington:NASA,1988: 193-208.
[16]
[14]Chong M S, Perry A E, Cantwell B J. A general classification of three-dimensional flow fields[C]// Topological Fluid Mechanics. Cambridge:IUTAM, 1990: 408-420.
[17]
[15]Jeong J, Hussain F. On the identification of a vortex[J]. Journal of Fluid Mechanics, 1995, 285(69): 69-94.
[18]
[16]Haller G, Yuan G. Lagrangian coherent structures and mixing in two-dimensional turbulence[J]. Physica D: Nonlinear Phenomena, 2000, 147(3): 352-370.
[19]
[17]Haller G. Distinguished material surfaces and coherent structures in three-dimensional fluid flows[J]. Physica D: Nonlinear Phenomena, 2001, 149(4): 248-277.
[20]
[18]Shadden S C, Lekien F, Marsden J E. Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows[J]. Physica D: Nonlinear Phenomena, 2005, 212(3): 271-304.
[21]
[19]Green M A, Rowley C W, Haller G. Detection of Lagrangian coherent structures in three-dimensional turbulence[J]. Journal of Fluid Mechanics, 2007, 572(1): 111-120.
[22]
[20]O’Farrell C, Dabiri J O. A lagrangian approach to identifying vortex pinch-off[J].An Interdisciplinary Journal of Nonlinear Science, 2010, 20(1):1-9.
[23]
[21]Tang J N, Tseng C C, Wang N F. Lagrangian-based investigation of multiphase flows by finite-time Lyapunov exponents[J]. Acta Mechanica Sinica, 2012, 28(3): 612-624.
[24]
[22]Launder B E, Spalding D B. The numerical computation of turbulent flows[J]. Computer Methods in Applied Mechanics and Engineering, 1974, 3(2): 269-289.
[25]
[23]Kubota A, Kato H, Yamaguchi H, et al. Unsteady structure measurement of cloud cavitation on a foil section using conditional sampling technique[J]. Journal of Fluids Engineering, 1989, 111(2): 204-210.