Abstract
Clusters containing bubbles and solid particles are used in many fields of industry. For instance, the study of bubble-particle interaction can be useful for surface cleaning in microelectronics and froth flotation in oil distillation.
The present work discusses the joint 3D dynamics of bubbles and solid spherical particles in the presence of an acoustic field in an unbounded ideal incompressible liquid. To solve the problem, we chose the boundary element method (BEM) which requires only the discretization of the boundary of the computational domain. However, the application of the conventional BEM for the direct simulation of large particle-bubble systems is normally limited by memory, computational complexity, and speed. To perform such simulations, we propose a numerical approach based on the GPU acceleration of the BEM code.
The method includes the solution of linear algebraic equations with a dense matrix of special type, using for this the generalized minimal residual method with calculation of the matrix-vector product on graphics processors using CUDA technology. We also discuss the performance of the method and run test computations of bubble-particle clusters.
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References
Tomita, Y., Robinson, P.B., Tong, R.P., Blake, J.R.: Growth and collapse of cavitation bubbles near a curved rigid boundary. J. Fluid Mech. 466, 259–283 (2002). https://doi.org/10.1017/S0022112002001209
Brujan, E.A., Keen, G.S., Vogel, A., Blake, J.R.: The final stage of the collapse of a cavitation bubble close to a rigid boundary. Phys. Fluids 14, 85–92 (2002). https://doi.org/10.1063/1.1421102
Miao, H., Gracewski, S.M.: Response of an ultrasonically excited bubble near a fixed rigid object. Acoust. Res. Lett. Online 6, 144–150 (2005). https://doi.org/10.1121/1.1898344
Gracewski, S.M., Miao, H., Dalecki, D.: Ultrasonic excitation of a bubble near a rigid or deformable sphere: implications for ultrasonically induced hemolysis. J. Acoust. Soc. Am. 117, 1440–1447 (2005). https://doi.org/10.1121/1.1858211
Hay, T.A., Hamilton, M.F., Ilinskii, Yu.A., Zabolotskaya, E.A.: Coupled pulsation and translation of a gas bubble and rigid particle. In: AIP Conference Proceedings, vol. 1022, pp. 209–212 (2008). https://doi.org/10.1063/1.2956188
Derjaguin, B.V., Dukhin, S.S.: Theory of flotation of small and medium-size particles. Trans. Inst. Min. Metall. 70, 221–246 (1961)
Phan, C.M., Nguyen, A.V., Miller, J.D., Evans, G.M., Jameson, G.J.: Investigations of bubble-particle interactions. Int. J. Miner. Process. 72, 239–254 (2003). https://doi.org/10.1016/S0301-7516(03)00102-9
Dai, Z., Fornasiero, D., Ralston, J.: Particle-bubble collision models - a review. Adv. Colloid Interface Sci. 96, 54 (2000). https://doi.org/10.1016/S0001-8686(99)00030-5
Nguyen, A.V., Evans, G.M.: Attachment interaction between air bubbles and particles in froth flotation. Exp. Therm. Fluid Sci. 28, 381–385 (2004). https://doi.org/10.1016/j.expthermflusci.2002.12.001
Verrelli, D.I., Koh, P.T.L., Nguyen, A.V.: Particle-bubble interaction and attachment in flotation. Chem. Eng. Sci. 66, 5910–5921 (2011)
Basarova, P., Machon, V., Hubicka, M., Horn, D.: Collision processes involving a single rising bubble and a larger stationary spherical particle. Int. J. Miner. Process. 94, 58–66 (2010). https://doi.org/10.1016/j.minpro.2009.11.004
Koh, P.T.L., Schwarz, M.P.: CFD modelling of bubble-particle collision rates and efficiencies in a flotation cell. Miner. Eng. 16, 1055–1059 (2003). https://doi.org/10.1016/j.mineng.2003.05.005
Liu, T.Y., Schwarz, M.P.: CFD-based modelling of bubble-particle collision efficiency with mobile bubble surface in a turbulent environment. Int. J. Miner. Process. 90, 45–55 (2009)
Canot, E., Achard, J.-L.: An overview of boundary integral formulations for potential flows in fluid-fluid systems. Arch. Mech. 43, 453–98 (1991)
Bui, T.T., Ong, E.T., Khoo, B.C., Klaseboer, E., Hung, K.C.: A fast algorithm for modeling multiple bubbles dynamics. J. Comput. Phys. 216, 430–453 (2006). https://doi.org/10.1016/j.jcp.2005.12.009
CUDA C Programming Guide. http://docs.nvidia.com/cuda/cuda-c-programming-guide/index.html
NVIDIA Programming Guide. http://docs.nvidia.com/cuda/cuda-c-programming-guide/index.html
Saad, Y., Schultz, M.H.: GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 7, 856–869 (1986). https://doi.org/10.1137/0907058
Itkulova(Pityuk), Yu.A., Solnyshkina, O.A., Gumerov, N.A.: Toward large scale simulations of emulsion flows in microchannels using fast multipole and graphics processor accelerated boundary element method. In: ASME 2012 International Mechanical Engineering Congress and Exposition, pp. 873–881 (2012). https://doi.org/10.1115/IMECE2012-86238
Abramova, O.A., Pityuk, Yu.A., Gumerov, N.A., Akhatov, I.Sh.: High-performance BEM simulation of 3D emulsion flow. In: Sokolinsky, L., Zymbler, M. (eds.) PCT 2017. CCIS, vol. 753, pp. 317–330. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-67035-5_23
Itkulova(Pityuk), Yu.A., Abramova, O.A., Gumerov, N.A., Akhatov I.S.: Simulation of bubble dynamics in three-dimensional potential flows on heterogeneous computing systems using the fast multipole and boundary element methods. Numer. Methods Program. 15, 239–257 (2014). (in Russian)
Zinchenko, A.Z., Rother, M.A., Davis, R.H.: A novel boundary-integral algorithm for viscous interaction of deformable drops. Phys. Fluid. 9(6), 1493–1511 (1997). https://doi.org/10.1063/1.869275
Plesset, M.S., Prosperetti, A.: Bubble dynamics and cavitation. J. Fluid Mech. 9, 145–185 (1977). https://doi.org/10.1146/annurev.fl.09.010177.001045
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Zarafutdinov, I.A., Pityuk, Y.A., Gainetdinov, A.R., Gumerov, N.A., Abramova, O.A., Akhatov, I.S. (2018). GPU Acceleration of Bubble-Particle Dynamics Simulation. In: Sokolinsky, L., Zymbler, M. (eds) Parallel Computational Technologies. PCT 2018. Communications in Computer and Information Science, vol 910. Springer, Cham. https://doi.org/10.1007/978-3-319-99673-8_17
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