Climent, E and Maxey, M.R 2003. Numerical simulations of random suspensions at finite Reynolds numbers. International Journal of Multiphase Flow, Vol. 29, Issue. 4, p. 579.
Tryggvason, Gretar Esmaeeli, Asghar Lu, Jiacai and Biswas, Souvik 2006. Direct numerical simulations of gas/liquid multiphase flows. Fluid Dynamics Research, Vol. 38, Issue. 9, p. 660.
Lappa, Marcello 2013. On the variety of particle accumulation structures under the effect of g-jitters. Journal of Fluid Mechanics, Vol. 726, p. 160.
Fabregat, Alexandre Dewar, William K. Özgökmen, Tamay M. Poje, Andrew C. and Wienders, Nicolas 2015. Numerical simulations of turbulent thermal, bubble and hybrid plumes. Ocean Modelling, Vol. 90, p. 16.
HALLEZ, YANNICK and LEGENDRE, DOMINIQUE 2011. Interaction between two spherical bubbles rising in a viscous liquid. Journal of Fluid Mechanics, Vol. 673, p. 406.
Sarkar, Kausik and Schowalter, William R. 2002. Computation of a free jet with embedded drops. Journal of Non-Newtonian Fluid Mechanics, Vol. 102, Issue. 2, p. 263.
Ohta, Mitsuhiro Haranaka, Satoshi Yoshida, Yutaka and Sussman, Mark 2004. Three-Dimensional Numerical Simulations of the Motion of a Gas Bubble Rising in Viscous Liquids. JOURNAL OF CHEMICAL ENGINEERING OF JAPAN, Vol. 37, Issue. 8, p. 968.
Smolianski, Anton Haario, Heikki and Luukka, Pasi 2008. Numerical study of dynamics of single bubbles and bubble swarms. Applied Mathematical Modelling, Vol. 32, Issue. 5, p. 641.
Singh, Rajkeshar Chao, Jianghui Popescu, Mihaela Tai, Cheng-Feng Mei, Renwei and Shyy, Wei 2006. Multiphase/Multidomain Computations Using Continuum and Lattice–Boltzmann Methods. Journal of Aerospace Engineering, Vol. 19, Issue. 4, p. 288.
Villela, M.F.S. Villar, M.M. Serfaty, R. Mariano, F.P. and Silveira-Neto, A. 2017. Mathematical modeling and numerical simulation of two-phase flows using Fourier pseudospectral and front-tracking methods: The proposition of a new method. Applied Mathematical Modelling, Vol. 52, p. 241.
Torres, D.J. and Brackbill, J.U. 2000. The Point-Set Method: Front-Tracking without Connectivity. Journal of Computational Physics, Vol. 165, Issue. 2, p. 620.
McCaslin, Jeremy O. and Desjardins, Olivier 2014. Numerical investigation of gravitational effects in horizontal annular liquid–gas flow. International Journal of Multiphase Flow, Vol. 67, p. 88.
Subramaniam, S. 2000. Statistical representation of a spray as a point process. Physics of Fluids, Vol. 12, Issue. 10, p. 2413.
van Sint Annaland, M. Deen, N.G. and Kuipers, J.A.M. 2005. Numerical simulation of gas bubbles behaviour using a three-dimensional volume of fluid method. Chemical Engineering Science, Vol. 60, Issue. 11, p. 2999.
Lu, Jiacai and Tryggvason, Gretar 2013. Dynamics of nearly spherical bubbles in a turbulent channel upflow. Journal of Fluid Mechanics, Vol. 732, p. 166.
Sankaranarayanan, Krishnan and Sundaresan, Sankaran 2002. Lift force in bubbly suspensions. Chemical Engineering Science, Vol. 57, Issue. 17, p. 3521.
Bassano, Edmondo 2003. Numerical simulation of thermo-solutal-capillary migration of a dissolving drop in a cavity. International Journal for Numerical Methods in Fluids, Vol. 41, Issue. 7, p. 765.
van Sint Annaland, M. Dijkhuizen, W. Deen, N. G. and Kuipers, J. A. M. 2006. Numerical simulation of behavior of gas bubbles using a 3-D front-tracking method. AIChE Journal, Vol. 52, Issue. 1, p. 99.
Pianet, G. Vincent, S. Leboi, J. Caltagirone, J.P. and Anderhuber, M. 2010. Simulating compressible gas bubbles with a smooth volume tracking 1-Fluid method. International Journal of Multiphase Flow, Vol. 36, Issue. 4, p. 273.
Shin, Seungwon Yoon, Ikroh and Juric, Damir 2011. The Local Front Reconstruction Method for direct simulation of two- and three-dimensional multiphase flows. Journal of Computational Physics, Vol. 230, Issue. 17, p. 6605.
Zhang, Wenming and Zhu, David Z. 2013. Bubble characteristics of air–water bubbly jets in crossflow. International Journal of Multiphase Flow, Vol. 55, p. 156.
Erfanian, Mohammad Reza Anbarsooz, Morteza Rahimi, Nasrollah Zare, Mohsen and Moghiman, Mohammad 2015. Numerical and experimental investigation of a three dimensional spherical-nose projectile water entry problem. Ocean Engineering, Vol. 104, p. 397.
RAJA, R. VIVEK SUBRAMANIAN, GANESH and KOCH, DONALD L. 2010. Inertial effects on the rheology of a dilute emulsion. Journal of Fluid Mechanics, Vol. 646, p. 255.
Emans, M. and Zenger, Ch. 2005. An efficient method for the prediction of the motion of individual bubbles. International Journal of Computational Fluid Dynamics, Vol. 19, Issue. 4, p. 347.
Bolintineanu, Dan S. Grest, Gary S. Lechman, Jeremy B. Pierce, Flint Plimpton, Steven J. and Schunk, P. Randall 2014. Particle dynamics modeling methods for colloid suspensions. Computational Particle Mechanics, Vol. 1, Issue. 3, p. 321.
Bunner, B. and Tryggvason, G. 1999. An examination of the flow induced by the motion of many buoyant bubbles. Journal of Visualization, Vol. 2, Issue. 2, p. 153.
Song, Chiyoon and Sirviente, Ana I. 2004. A numerical study of breaking waves. Physics of Fluids, Vol. 16, Issue. 7, p. 2649.
Salih, A. and Moulic, S. Ghosh 2010. Numerical Simulation of Buoyancy-driven Bubble Motion Using Level Set Method. International Journal for Computational Methods in Engineering Science and Mechanics, Vol. 11, Issue. 4, p. 211.
MacLachlan, S.P. Tang, J.M. and Vuik, C. 2008. Fast and robust solvers for pressure-correction in bubbly flow problems. Journal of Computational Physics, Vol. 227, Issue. 23, p. 9742.
Lomholt, S. Stenum, B. and Maxey, M.R. 2002. Experimental verification of the force coupling method for particulate flows. International Journal of Multiphase Flow, Vol. 28, Issue. 2, p. 225.
Loisy, Aurore Naso, Aurore and Spelt, Peter D. M. 2017. Buoyancy-driven bubbly flows: ordered and free rise at small and intermediate volume fraction. Journal of Fluid Mechanics, Vol. 816, p. 94.
Ansari, M.R. and Nimvari, M.E. 2011. Bubble viscosity effect on internal circulation within the bubble rising due to buoyancy using the level set method. Annals of Nuclear Energy, Vol. 38, Issue. 12, p. 2770.
Sun, Y. and Beckermann, C. 2010. Phase-field modeling of bubble growth and flow in a Hele–Shaw cell. International Journal of Heat and Mass Transfer, Vol. 53, Issue. 15-16, p. 2969.
Sun, Dong-Liang Yang, Yong-Ping Xu, Jin-Liang and Tao, Wen-Quan 2011. An Improved Volume of Fluid Method for Two-Phase Flow Computations on Collocated Grid System. Journal of Heat Transfer, Vol. 133, Issue. 4, p. 041901.
Reichardt, Thomas Tryggvason, Gretar and Sommerfeld, Martin 2017. Effect of velocity fluctuations on the rise of buoyant bubbles. Computers & Fluids, Vol. 150, p. 8.
Yin, Xiaolong Koch, Donald L. and Verberg, Rolf 2006. Lattice-Boltzmann method for simulating spherical bubbles with no tangential stress boundary conditions. Physical Review E, Vol. 73, Issue. 2,
Lau, Yuk Man Müller, Karolin Azizi, Salar and Schubert, Markus 2016. Voronoï analysis of bubbly flows via ultrafast X-ray tomographic imaging. Experiments in Fluids, Vol. 57, Issue. 3,
Biswas, Souvik and Tryggvason, Gretar 2007. The transient buoyancy driven motion of bubbles across a two-dimensional quiescent domain. International Journal of Multiphase Flow, Vol. 33, Issue. 12, p. 1308.
Bunner, Bernard and Tryggvason, Grétar 1999. Direct numerical simulations of three-dimensional bubbly flows. Physics of Fluids, Vol. 11, Issue. 8, p. 1967.
Hysing, S. Turek, S. Kuzmin, D. Parolini, N. Burman, E. Ganesan, S. and Tobiska, L. 2009. Quantitative benchmark computations of two-dimensional bubble dynamics. International Journal for Numerical Methods in Fluids, Vol. 60, Issue. 11, p. 1259.
Revstedt, Johan and Fuchs, Laszlo 2001. Handling complex boundaries on a Cartesian grid using surface singularities. International Journal for Numerical Methods in Fluids, Vol. 35, Issue. 2, p. 125.
Reséndiz, Edgar and Pinnau, René 2014. Adjoint-based optimization of particle trajectories in laminar flows. Applied Mathematics and Computation, Vol. 248, p. 567.
Pang, Mingjun Wei, Jinjia and Yu, Bo 2010. Numerical study of bubbly upflows in a vertical channel using the Euler–Lagrange two-way model. Chemical Engineering Science, Vol. 65, Issue. 23, p. 6215.
Mazzitelli, Irene M. and Lohse, Detlef 2009. Evolution of energy in flow driven by rising bubbles. Physical Review E, Vol. 79, Issue. 6,
Russo, E. Kuerten, J.G.M. and Geurts, B.J. 2014. Delay of biomass pyrolysis by gas–particle interaction. Journal of Analytical and Applied Pyrolysis, Vol. 110, p. 88.
Kolakaluri, Ravi Subramaniam, Shankar and Panchagnula, Mahesh V. 2014. Trends in Multiphase Modeling and Simulation of Sprays. International Journal of Spray and Combustion Dynamics, Vol. 6, Issue. 4, p. 317.
Sun, Rui and Xiao, Heng 2015. Diffusion-based coarse graining in hybrid continuum–discrete solvers: Theoretical formulation and a priori tests. International Journal of Multiphase Flow, Vol. 77, p. 142.
Sethian, J.A. 2001. Evolution, Implementation, and Application of Level Set and Fast Marching Methods for Advancing Fronts. Journal of Computational Physics, Vol. 169, Issue. 2, p. 503.
Pang, Mingjun Wei, Jinjia and Yu, Bo 2011. Mechanism on lateral distribution of small bubbles in vertical bubbly upflows. Nonlinear Dynamics, Vol. 64, Issue. 1-2, p. 147.
Farhangi, M. M. Passandideh-Fard, M. and Moin, H. 2010. Numerical study of bubble rise and interaction in a viscous liquid. International Journal of Computational Fluid Dynamics, Vol. 24, Issue. 1-2, p. 13.
Xie, Fangfang Zheng, Xiaoning Triantafyllou, Michael S. Constantinides, Yiannis Zheng, Yao and Em Karniadakis, George 2017. Direct numerical simulations of two-phase flow in an inclined pipe. Journal of Fluid Mechanics, Vol. 825, p. 189.
Ma, Jingsen Hsiao, Chao-Tsung and Chahine, Georges L. 2017. A physics based multiscale modeling of cavitating flows. Computers & Fluids, Vol. 145, p. 68.
Pan, Hui Chen, Xi-Zhong Liang, Xiao-Fei Zhu, Li-Tao and Luo, Zheng-Hong 2016. CFD simulations of gas–liquid–solid flow in fluidized bed reactors — A review. Powder Technology, Vol. 299, p. 235.
Lu, Jiacai and Tryggvason, Gretar 2007. Effect of bubble size in turbulent bubbly downflow in a vertical channel. Chemical Engineering Science, Vol. 62, Issue. 11, p. 3008.
Yang, B. and Prosperetti, A. 2006. A second-order boundary-fitted projection method for free-surface flow computations. Journal of Computational Physics, Vol. 213, Issue. 2, p. 574.
Tavakoli, Rohallah Babaei, Reza Varahram, Naser and Davami, Parviz 2006. Numerical simulation of liquid/gas phase flow during mold filling. Computer Methods in Applied Mechanics and Engineering, Vol. 196, Issue. 1-3, p. 697.
Vu, Truong V. and Wells, John C. 2017. Numerical simulations of solidification around two tandemly-arranged circular cylinders under forced convection. International Journal of Multiphase Flow, Vol. 89, p. 331.
Benitz, M.A. Lackner, M.A. and Schmidt, D.P. 2015. Hydrodynamics of offshore structures with specific focus on wind energy applications. Renewable and Sustainable Energy Reviews, Vol. 44, p. 692.
Portela, L. M. and Oliemans, R. V. A. 2006. Possibilities and Limitations of Computer Simulations of Industrial Turbulent Dispersed Multiphase Flows. Flow, Turbulence and Combustion, Vol. 77, Issue. 1-4, p. 381.
Russo, E. Kuerten, J. G. M. van der Geld, C. W. M. and Geurts, B. J. 2014. Water droplet condensation and evaporation in turbulent channel flow. Journal of Fluid Mechanics, Vol. 749, p. 666.
Labourasse, E. Lacanette, D. Toutant, A. Lubin, P. Vincent, S. Lebaigue, O. Caltagirone, J.-P. and Sagaut, P. 2007. Towards large eddy simulation of isothermal two-phase flows: Governing equations and a priori tests. International Journal of Multiphase Flow, Vol. 33, Issue. 1, p. 1.
Ohta, Mitsuhiro Imura, Tatsuya Yoshida, Yutaka and Sussman, Mark 2005. A computational study of the effect of initial bubble conditions on the motion of a gas bubble rising in viscous liquids. International Journal of Multiphase Flow, Vol. 31, Issue. 2, p. 223.
Liang, Ruquan Liang, Dong Yan, Fusheng Liao, Zhangqing and Duan, Guangdong 2011. Bubble Motion near a Wall Under Microgravity: Existence of Attractive and Repulsive Forces. Microgravity Science and Technology, Vol. 23, Issue. 1, p. 79.
Shin, Seungwon and Juric, Damir 2009. A hybrid interface method for three-dimensional multiphase flows based on front tracking and level set techniques. International Journal for Numerical Methods in Fluids, Vol. 60, Issue. 7, p. 753.
Hazi, Gabor Mayer, Gusztav and Markus, Attila 2009. Drag force acting on bubbles in a subchannel of triangular array of rods. International Journal of Heat and Mass Transfer, Vol. 52, Issue. 5-6, p. 1481.
Kitagawa, Atsuhide Sugiyama, Kazuyasu and Murai, Yuichi 2004. Experimental detection of bubble–bubble interactions in a wall-sliding bubble swarm. International Journal of Multiphase Flow, Vol. 30, Issue. 10, p. 1213.
Gupta, Amit and Kumar, Ranganathan 2008. Lattice Boltzmann simulation to study multiple bubble dynamics. International Journal of Heat and Mass Transfer, Vol. 51, Issue. 21-22, p. 5192.
Deen, Niels G. Annaland, Martin van Sint and Kuipers, J.A.M. 2009. Direct numerical simulation of complex multi-fluid flows using a combined front tracking and immersed boundary method. Chemical Engineering Science, Vol. 64, Issue. 9, p. 2186.
Cao, Qing Sarkar, Kausik and Prasad, Ajay K. 2004. Direct numerical simulations of two-layer viscosity-stratified flow. International Journal of Multiphase Flow, Vol. 30, Issue. 12, p. 1485.
Ma, Jingsen Hsiao, Chao-Tsung and Chahine, Georges L. 2018. Numerical study of acoustically driven bubble cloud dynamics near a rigid wall. Ultrasonics Sonochemistry, Vol. 40, p. 944.
Watanabe, Yasunori Saruwatari, Ayumi and Ingram, David M. 2008. Free-surface flows under impacting droplets. Journal of Computational Physics, Vol. 227, Issue. 4, p. 2344.
Marheineke, Nicole Pinnau, René and Reséndiz, Edgar 2012. Space mapping-focused control techniques for particle dispersions in fluids. Optimization and Engineering, Vol. 13, Issue. 1, p. 101.
Ekambara, K. Dhotre, Mahesh T. and Joshi, Jyeshtharaj B. 2005. CFD simulations of bubble column reactors: 1D, 2D and 3D approach. Chemical Engineering Science, Vol. 60, Issue. 23, p. 6733.
Basting, Steffen and Prignitz, Rodolphe 2013. An interface-fitted subspace projection method for finite element simulations of particulate flows. Computer Methods in Applied Mechanics and Engineering, Vol. 267, p. 133.
Ferziger, Joel H. 2003. Interfacial transfer in Tryggvason's method. International Journal for Numerical Methods in Fluids, Vol. 41, Issue. 5, p. 551.
Das, A. K. Das, P. K. and Thome, J. R. 2009. Transition of Bubbly Flow in Vertical Tubes: New Criteria Through CFD Simulation. Journal of Fluids Engineering, Vol. 131, Issue. 9, p. 091303.
Fraga, Bruño and Stoesser, Thorsten 2016. Influence of bubble size, diffuser width, and flow rate on the integral behavior of bubble plumes. Journal of Geophysical Research: Oceans, Vol. 121, Issue. 6, p. 3887.
Guan, Xiaoping Li, Zhaoqi Wang, Lijun Cheng, Youwei and Li, Xi 2014. CFD Simulation of Bubble Dynamics in Bubble Columns with Internals. Industrial & Engineering Chemistry Research, Vol. 53, Issue. 42, p. 16529.
Quan, Shaoping Lou, Jing and Stone, Howard A. 2011. Interactions between two deformable droplets in tandem subjected to impulsive acceleration by surrounding flows. Journal of Fluid Mechanics, Vol. 684, p. 384.
de Sousa, F.S. Mangiavacchi, N. Nonato, L.G. Castelo, A. Tomé, M.F. Ferreira, V.G. Cuminato, J.A. and McKee, S. 2004. A front-tracking/front-capturing method for the simulation of 3D multi-fluid flows with free surfaces. Journal of Computational Physics, Vol. 198, Issue. 2, p. 469.
Fraga, Bruño Stoesser, Thorsten Lai, Chris C.K. and Socolofsky, Scott A. 2016. A LES-based Eulerian–Lagrangian approach to predict the dynamics of bubble plumes. Ocean Modelling, Vol. 97, p. 27.
Koch, Donald L and Hill, Reghan J 2001. INERTIAL EFFECTS IN SUSPENSION AND POROUS-MEDIA FLOWS. Annual Review of Fluid Mechanics, Vol. 33, Issue. 1, p. 619.
Sundaresan, Sankaran Eaton, John Koch, Donald L. and Ottino, Julio M. 2003. Appendix 2: Report of study group on disperse flow. International Journal of Multiphase Flow, Vol. 29, Issue. 7, p. 1069.
van Sint Annaland, M. Deen, N.G. and Kuipers, J.A.M. 2005. Numerical simulation of gas–liquid–solid flows using a combined front tracking and discrete particle method. Chemical Engineering Science, Vol. 60, Issue. 22, p. 6188.
Shin, Seungwon 2012. Direct numerical simulation of rising bubble interaction with free surface using level contour reconstruction method. Journal of Mechanical Science and Technology, Vol. 26, Issue. 10, p. 3141.
Tryggvason, Grétar and Lu, Jiacai 2015. Direct Numerical Simulations of Flows with Phase Change. Procedia IUTAM, Vol. 15, p. 2.
TRYGGVASON, Gretar and LU, Jiacai 2015. Direct numerical simulations of bubbly flows. Mechanical Engineering Reviews, Vol. 2, Issue. 2, p. 15-00220.
Bai, Jinlong Qiao, Xinqi and Zhuang, Jian 2014. A numerical investigation of an engine oil droplet normally impinging onto oil pan within crankcase of an IC engine. Computers & Fluids, Vol. 92, p. 34.
Tryggvason, G. Bunner, B. Esmaeeli, A. Juric, D. Al-Rawahi, N. Tauber, W. Han, J. Nas, S. and Jan, Y.-J. 2001. A Front-Tracking Method for the Computations of Multiphase Flow. Journal of Computational Physics, Vol. 169, Issue. 2, p. 708.
Khezzar, Lyes Kharoua, Nabil and Kiger, Kenneth T. 2015. Large eddy simulation of rough and smooth liquid plunging jet processes. Progress in Nuclear Energy, Vol. 85, p. 140.
SUGIYAMA, Kazuyasu TAKAGI, Shu and MATSUMOTO, Yoichiro 2001. JAPANESE JOURNAL OF MULTIPHASE FLOW, Vol. 15, Issue. 1, p. 31.
Puncochar, Miroslav Ruzicka, Marek C. and Simcik, Miroslav 2016. Bubble swarm rise velocity in fluidized beds. Chemical Engineering Science, Vol. 152, p. 84.
Mirzaii, I. and Passandideh-Fard, M. 2012. Modeling free surface flows in presence of an arbitrary moving object. International Journal of Multiphase Flow, Vol. 39, p. 216.
Jofre, Lluís Lehmkuhl, Oriol Castro, Jesús and Oliva, Assensi 2014. A 3-D Volume-of-Fluid advection method based on cell-vertex velocities for unstructured meshes. Computers & Fluids, Vol. 94, p. 14.
Subramaniam, Shankar 2013. Lagrangian–Eulerian methods for multiphase flows. Progress in Energy and Combustion Science, Vol. 39, Issue. 2-3, p. 215.
Santos, F. L. P. Ferreira, V. G. Tomé, M. F. Castelo, A. Mangiavacchi, N. and McKee, S. 2012. A marker-and-cell approach to free surface 2-D multiphase flows. International Journal for Numerical Methods in Fluids, Vol. 70, Issue. 12, p. 1543.
Direct numerical simulations of the motion of two- and three-dimensional buoyant bubbles in periodic domains are presented. The full Navier–Stokes equations are solved by a finite difference/front tracking method that allows a fully deformable interface between the bubbles and the ambient fluid and the inclusion of surface tension. The governing parameters are selected such that the average rise Reynolds number is O(1) and deformations of the bubbles are small. The rise velocity of a regular array of three-dimensional bubbles at different volume fractions agrees relatively well with the prediction of Sangani (1988) for Stokes flow. A regular array of two- and three-dimensional bubbles, however, is an unstable configuration and the breakup, and the subsequent bubble–bubble interactions take place by ‘drafting, kissing, and tumbling’. A comparison between a finite Reynolds number two-dimensional simulation with sixteen bubbles and a Stokes flow simulation shows that the finite Reynolds number array breaks up much faster. It is found that a freely evolving array of two-dimensional bubbles rises faster than a regular array and simulations with different numbers of two-dimensional bubbles (1–49) show that the rise velocity increases slowly with the size of the system. Computations of four and eight three-dimensional bubbles per period also show a slight increase in the average rise velocity compared to a regular array. The difference between two- and three-dimensional bubbles is discussed.
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