Brujan, E., Ikeda, T., Yoshinaka, K., and Matsumoto, Y., 2011, “The Final Stage of the Collapse of a Cloud of Bubbles Close to a Rigid Boundary,” Ultrason. Sonochem., 18(1), pp. 59–64.

[CrossRef] [PubMed]Brujan, E., Ikeda, T., and Matsumoto, Y., 2012, “Shock Wave Emission From a Cloud of Bubbles,” Soft Matter, 8(21), pp. 5777–5783.

[CrossRef]Kalumuck, K. M., and Chahine, G. L., 2000, “The Use of Cavitating Jets to Oxidize Organic Compounds in Water,” ASME J. Fluids Eng., 122(3), pp. l465–1470.

[CrossRef]Chahine, G. L., 2014, “Modeling of Cavitation Dynamics and Interaction With Material,”

*Advanced Experimental and Numerical Techniques for Cavitation Erosion Prediction*, Vol. 106, K. H.Kim, G. L.Chahine, J. P.Franc, and A.Karimi, eds., Springer, Dordrecht, The Netherlands, pp. 123–162

[CrossRef].

Plesset, M. S., and Prosperetti, A., 1977, “Bubble Dynamics and Cavitation,” Ann. Rev. Fluid Mech., 9(1), pp. 145–185.

[CrossRef]Blake, J. R., and Gibson, D. C., 1987, “Bubble Dynamics and Cavitation,” Ann. Rev. Fluid Mech., 19(1), pp. 99–123.

[CrossRef]Van Wijngaarden, L., 1964, “On the Collective Collapse of a Large Number of Gas Bubbles in Water,” Proceedings of 11th International Congress of Applied Mechanics, Springer, Berlin, Germany, Aug. 30–Sept. 5, pp. 854–861.

Morch, K. A., 1981, “Cavity Cluster Dynamics and Cavitation Erosion,” ASME Proceeding of the Cavitation and Polyphase Flow Forum, Boulder, CO, June 22–24, pp. 1–10.

Chahine, G. L., 1983, “Cloud Cavitation: Theory,” Proceedings of 14th Symposium on Naval Hydrodynamics, National Academy Press, Ann Arbor, MI, pp. 165–194.

Chahine, G. L., and Liu, H.-L., 1985, “A Singular Perturbation Theory of the Growth of a Bubble Cluster in a Superheated Liquid,” J. Fluid Mech., 156, pp. 257–279.

[CrossRef]Chahine, G. L., and Duraiswami, R., 1992, “Dynamical Interaction in a Multi-Bubble Cloud,” ASME J. Fluids Eng., 114(4), pp. 680–686.

[CrossRef]Esmaeeli, A., and Tryggvason, G., 1998, “Direct Numerical Simulations of Bubbly Flows. Part 1. Low Reynolds Number Array,” J. Fluid Mech., 377, pp. 313–345.

[CrossRef]Lu, J., Biswas, S., and Tryggvason, G., 2006, “A DNS Study of Laminar Bubbly Flows in a Vertical Channel,” Int. J. Multiphase Flow, 32(6), pp. 643–660.

[CrossRef]Seo, J. H., Lele, S. K., and Tryggvason, G., 2010, “Investigation and Modeling of Bubble–Bubble Interaction Effect in Homogeneous Bubbly Flows,” Phys. Fluids, 22(6), p. 063302.

[CrossRef]Crowe, C. T., Troutt, T. R., and Chung, J. N., 1996, “Numerical Models for Two-Phase Turbulent Flows,” Ann. Rev. Fluid Mech., 28, pp. 11–43.

[CrossRef]Balachandar, S., and Eaton, J. K., 2010, “Turbulent Dispersed Multiphase Flow,” Ann. Rev. Fluid Mech., 42(1), pp. 111–133.

[CrossRef]Apte, S. V., Mahesh, K., and Lundgren, T., 2008, “Accounting for Finite-Size Effect in Disperse Two-Phase Flow,” Int. J. Multiphase Flow, 34(3), pp. 260–271.

[CrossRef]Spelt, P. D. M., and Biesheivel, A., 1997, “On the Motion of Gas Bubbles in Homogeneous Isotropic Turbulence,” J. Fluid Mech., 336, pp. 221–244.

[CrossRef]Druzhinin, O. A., and Elghobashi, S. E., 1998, “Direct Numerical Simulations of Bubble-Laden Turbulent Flows Using the Two-Fluid Formulation,” Phys. Fluids, 10(3), pp. 685–697.

[CrossRef]Bunner, B., and Tryggvason, G., 2003, “Effect of Bubble Deformation on the Stability and Properties of Bubbly Flows,” J. Fluid Mech., 495, pp. 77–118.

[CrossRef]Brennen, C. E., 1995, *Cavitation and Bubble Dynamics*, Oxford University, New York.

Prosperetti, A., Sundaresan, S., Pannala, S., and Zhang, D. Z., 2007, “Segregated Methods for Two-Fluid Models,” *Computational Methods for Multiphase Flow*, Cambridge University, New York, pp. 320–385.

Ma, J., Oberai, Drew, D. A., Lahey, R. T., Jr., and Moraga, F., 2010, “Two-Fluid Modeling of Bubbly Flows Around Surface Ships Using a Phenomenological Subgrid Air Entrainment Model,” Comput. Fluids, 39(1), pp. 77–86.

[CrossRef]Ma, J., Oberai, A., Hyman, M., Drew, D. A., and Lahey, R. T., Jr., 2011, “Two-Fluid Modeling of Bubbly Flows Around Surface Ships Using a Phenomenological Subgrid Air Entrainment Model,” Comput. Fluids, 52, pp. 50–57.

[CrossRef]Ma, J., Oberai, A., Drew, D. A., and Lahey, R. T., Jr., 2012, “A Two-Way Coupled Polydispersed Two-Fluid Model for the Simulation of Air Entrainment Beneath a Plunging Liquid Jet,” ASME J. Fluids Eng., 134(10), p. 101304.

[CrossRef]Xiang, M., Cheung, S., Yeoh, G., Zhang, W., and Tu, J., 2011, “On the Numerical Study of Bubbly Flow Created by Ventilated Cavity in Vertical Pipe,” Int. J. Multiphase Flow, 37(7), pp. 756–768.

[CrossRef]Raju, R., Singh, S., Hsiao, C.-T., and Chahine, G. L., 2011, “Study of Pressure Wave Propagation in a Two-Phase Bubbly Mixture,” ASME J. Fluids Eng., 133(12), p. 121302.

[CrossRef]Gilmore, F. R., 1952, “The Growth and Collapse of a Spherical Bubble in a Viscous Compressible Liquid,” California Institute of Technology, Hydraulic Laboratory, Report No. 26-4.

Wardlaw, A., Jr., and Luton, J. A., 2000, “Fluid–Structure Interaction for Close-in Explosions,” Shock Vib. J., 7, pp. 265–275.

[CrossRef]Wardlaw, A., Jr., Luton, J. A., Renzi, J. J., and Kiddy, K., 2003, “Fluid–Structure Coupling Methodology for Undersea Weapons,” *Fluid Structure Interaction II*, WIT Press, Southampton, UK, pp. 251–263.

Ma, J., Singh, S., Hsiao, C.-T., Choi, J.-K., and Chahine, G. L., 2012, “Spherical Bubble Dynamics in a Bubbly Medium,” International Conference on Numerical Methods in Multiscale Flows, Philadelphia, PA, June 12–14.

Ma, J., Hsiao, C.-T., and Chahine, G. L., 2012, “Bubble Dynamics in Bubbly Medium,” 65th Annual Meeting of the APS Division of Fluid Dynamics, San Diego, CA, Nov. 18–20.

Ma, J., Chahine, G. L., and Hsiao, C.-T., “Spherical Bubble Dynamics in a Bubbly Medium Using an Euler–Lagrange Model,” Chem. Eng. Sci., (unpublished).

Hsiao, C.-T., and Chahine, G. L., 2012, “Effect of a Propeller and Gas Diffusion on Bubble Nuclei Distribution in a Liquid,” J. Hydrodyn., Ser. B, 24(6), pp. 809–822.

[CrossRef]Hsiao, C.-T., and Chahine, G. L., 2004, “Prediction of Tip Vortex Cavitation Inception Using Coupled Spherical and Nonspherical Bubble Models and Navier–Stokes Computations,” J. Mar. Sci. Technol., 8(3), pp. 99–108.

[CrossRef]Hsiao, C.-T., and Chahine, G., 2008, “Numerical Study of Cavitation Inception Due to Vortex/Vortex Interaction in a Ducted Propulsor,” J. Ship. Res., 52, pp. 114–123.

Wu, X., Choi, J.-K., Hsiao, C.-T., and Chahine, G. L., 2010, “Bubble Augmented Waterjet Propulsion: Numerical and Experimental Studies,” Proceedings of 28th Symposium on Naval Hydrodynamics, Pasadena, CA, Sept. 12–17, pp. 1–17.

Wu, X., Choi, J.-K., Singh, S., Hsiao, C.-T., and Chahine, G. L., 2012, “Experimental and Numerical Investigation of Bubble Augmented Waterjet Propulsion,” J. Hydrodyn., 24(5), pp. 635–647.

[CrossRef]Singh, S., Choi, J.-K., and Chahine, G. L., 2012, “Optimum Configuration of an Expanding-Contracting-Nozzle for Thrust Enhancement by Bubble Injection,” ASME J. Fluids Eng., 134(1), p. 0113011.

[CrossRef]Hsiao, C. T., Wu, X., Ma, J., and Chahine, G. L., 2013, “Numerical and Experimental Study of Bubble Entrainment Due to a Horizontal Plunging Jet,” Int. Shipbuild. Prog., 60, pp. 435–469.

van Wijngaarden, L., 1968, “On the Equations of Motion for Mixtures of Liquid and Gas Bubbles,” J. Fluid Mech., 33(3), pp. 465–474.

[CrossRef]van Wijngaarden, L., 1972, “One-Dimensional Flow of Liquids Containing Small Gas Bubbles,” Ann. Rev. Fluid Mech., 4, pp. 369–396.

[CrossRef]Commander, K. W., and Prosperetti, A., 1989, “Linear Pressure Waves in Bubbly Liquids: Comparison Between Theory and Experiments,” J. Acoust. Soc. Am., 85(2), pp. 732–746.

[CrossRef]Brennen, C. E., 2005, *Fundamentals of Multiphase Flows*, Cambridge University, New York.

Awad, M. M., and Muzzchka, Y. S., 2008, “Effective Property Models for Homogeneous Two Phase Flow,” Exp. Therm. Fluid Sci., 33(1), pp. 106–113.

[CrossRef]Ferrante, A., and Elghobashi, S., 2004, “On the Physical Mechanisms of Drag Reduction in a Spatially Developing Turbulent Boundary Layer Laden With Microbubbles,” J. Fluid Mech., 503, pp. 345–355.

[CrossRef]Darmana, D., Deen, N. G., and Kuipers, J. A. M., 2006, “Parallelization of an Euler–Lagrange Model Using Mixed Domain Decomposition and a Mirror Domain Technique: Application to Disperse Gas–Liquid Two-Phase Flow,” J. Comput. Phys., 220(1), pp. 216–248.

[CrossRef]Shams, E., Finn, J., and Apte, S. V., 2011, “A Numerical Scheme for Euler–Lagrange Simulation of Bubbly Flows in Complex Systems,” Int. J. Num. Methods Fluids, 67(12), pp. 1865–1898.

[CrossRef]Chahine, G. L., 2009, “Numerical Simulation of Bubble Flow Interactions,” J. Hydrodyn., 21(3), pp. 316–332.

[CrossRef]Hsiao, C.-T., Chahine, G. L., and Liu, H.-L., 2003, “Scaling Effects on Prediction of Cavitation Inception in a Line Vortex Flow,” ASME J. Fluids Eng., 125(1), pp. 53–60.

[CrossRef]Johnson, V. E., and Hsieh, T., 1966, “The Influence of the Trajectories of Gas Nuclei on Cavitation Inception,” 6th Symposium on Naval Hydrodynamics, Washington, DC, Sept. 28–Oct. 4, pp. 163–179.

Saffman, P., 1965, “The Lift on a Small Sphere in a Slow Shear Flow,” J. Fluid Mech., 22(2), pp. 385–400.

[CrossRef]Haberman, W. L., and Morton, R. K., 1953, “An Experimental Investigation of the Drag and Shape of Air Bubbles Rising in Various Liquids,” DTMB Report No. 802.

Chorin, A. J., 1967, “A Numerical Method for Solving Incompressible Viscous Flow Problems,” J. Comput. Phys., 2(1), pp. 12–26.

[CrossRef]Roe, P. L., 1981, “Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes,” J. Comput. Phys., 43(2), pp. 357–372.

[CrossRef]Van Leer, B., Thomas, J. L., Roe, P. L., and Newsome, R. W., 1987, “A Comparison of Numerical Flux Formulas for the Euler and Navier–Stokes Equation,” AIAA Paper No. 87-1104-CP.

[CrossRef]Chahine, G. L., Hsiao, C.-T., and Raju, R., 2014, “Scaling of Cavitation Bubble Cloud Dynamics on Propellers,” *Advanced Experimental and Numerical Techniques for Cavitation Erosion Prediction*, Vol. 106, K. H.Kim, G. L.Chahine, J. P.Franc, and A.Karimi, eds., Springer, Dordrecht, The Netherlands, pp. 345–372.