Experimental investigation of the turbulence induced by a bubble swarm rising within incident turbulence, J. Fluid Mech, vol.825, pp.1091-1112, 2017. ,
Effect of bubble contamination on rise velocity and mass transfer, Chem. Engng Sci, vol.60, issue.1, pp.1-9, 2005. ,
Velocity fluctuations generated by the flow through a random array of spheres: a model of bubble-induced agitation, J. Fluid Mech, vol.823, pp.592-616, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01593663
Attenuation of the wake of a sphere in an intense incident turbulence with large length scales, Phys. Fluids, vol.22, p.55105, 2010. ,
Analysis of phase distribution in fully developed laminar bubbly two-phase flow, Intl J. Multiphase Flow, vol.17, issue.5, pp.635-652, 1991. ,
Validated simulation of droplet sedimentation with finite-element and level-set methods, Chem. Engng Sci, vol.65, issue.6, pp.2037-2051, 2010. ,
Two-phase flow equations for a dilute dispersion of gas bubbles in liquid, J. Fluid Mech, vol.148, pp.301-318, 1984. ,
Direct numerical simulation of a turbulent bubbly flow in a vertical channel: towards an improved second-order Reynolds stress model, Nucl. Engng Des, vol.321, pp.92-103, 2017. ,
URL : https://hal.archives-ouvertes.fr/cea-02389168
DNS of turbulent bubbly flows in plane channels using the front-tracking algorithm of TrioCFD, Proceedings of the ASME Fluid Engineering Division Summer Meeting & Multiphase Flow Technical Committee, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-02419673
DNS of a turbulent steam/water bubbly flow in a vertical channel, Proceedings of the 9th International Conference on Multiphase Flows (ICMF2016), 2016. ,
Homogeneous swarm of high-Reynolds-number bubbles rising within a thin gap. Part 1: bubble dynamics, J. Fluid Mech, vol.704, pp.211-231, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-01325329
Homogeneous swarm of high-Reynolds-number bubbles rising within a thin gap. Part 2: liquid dynamics, J. Fluid Mech, vol.758, pp.508-521, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01325329
Eulerian-Eulerian two-fluid model for turbulent gas liquid bubbly flows, Intl J. Multiphase Flow, vol.29, pp.23-49, 2003. ,
Boundary conditions at a planar fluid-porous interface for a Poiseuille flow, Intl J. Heat Mass Transfer, vol.49, pp.2137-2150, 2006. ,
Turbulence attenuation by large neutrally buoyant particles, Phys. Fluids, vol.27, issue.6, pp.1-7, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01198368
Turbulent bubbly flow in pipe under gravity and microgravity conditions, J. Fluid Mech, vol.711, pp.469-515, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00875768
Multiphase turbulence in bubbly flows: RANS simulations, Intl J. Multiphase Flow, vol.77, pp.222-243, 2015. ,
Scaling law for bubbles rising near vertical walls, Phys. Fluids, vol.28, p.62101, 2016. ,
Turbulence kinetic energy exchanges in flows with highly variable fluid properties, J. Fluid Mech, vol.834, pp.5-54, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01867346
The rise of bubbles in a vertical shear flow, Trans ASME J. Fluids Engng, vol.119, issue.2, pp.443-449, 1997. ,
Bubble induced turbulence model improved by direct numerical simulation of bubbly flow, Chem. Engng J, 2018. ,
Effect of bubble diameter on modification of turbulence in an upward pipe flow, Intl J. Heat Fluid Flow, vol.25, issue.3, pp.481-488, 2004. ,
Turbulence kinetic energy budget in bubbly flows in a vertical duct, Exp. Fluids, vol.52, issue.3, pp.719-728, 2012. ,
Bubble-induced pseudo turbulence in laminar pipe flows, Intl J. Heat Fluid Flow, vol.40, pp.97-105, 2013. ,
Statistical analysis of liquid phase turbulence based on direct numerical simulations of bubbly flows, 2006. ,
On the identification of a vortex, J. Fluid Mech, vol.285, pp.69-94, 1995. ,
Local instant formulation of two-phase flow, Intl J. Multiphase Flow, vol.12, issue.5, pp.745-758, 1986. ,
Basic equations of turbulence in gas-liquid two-phase flow, Intl J. Multiphase Flow, vol.15, issue.5, pp.843-855, 1989. ,
Turbulence statistics in fully developed channel flow at low Reynolds number, J. Fluid Mech, vol.177, pp.133-166, 1987. ,
Turbulence in the liquid phase of a uniform bubbly air-water flow, J. Fluid Mech, vol.222, pp.95-118, 1358. ,
Homogeneous turbulence in bubbly flows, J. Fluids Engng, vol.113, issue.2, pp.295-300, 1991. ,
Progress in the development of a Reynolds-stress turbulence closure, J. Fluid Mech, vol.68, pp.537-566, 1975. ,
A generalized turbulent dispersion model for bubbly flow numerical simulation in NEPTUNE_CFD, NURETH-16, pp.4167-4181, 2015. ,
Two fluid model for two-phase turbulent jets, Nucl. Engng Des, vol.179, issue.1, pp.65-74, 1998. ,
A DNS study of laminar bubbly flows in a vertical channel, Intl J. Multiphase Flow, vol.32, issue.6, pp.643-660, 2006. ,
Effect of bubble deformability in turbulent bubbly upflow in a vertical channel, Phys. Fluids, vol.20, p.40701, 2008. ,
A more fundamental wall lubrication force from turbulent dispersion regularization for multiphase CFD applications, Intl J. Multiphase Flow, vol.98, pp.36-44, 2017. ,
Etudes physique, expérimentale et numérique des mécanismes de base intervenant dans les écoulements diphasiques en micro-fluidique, 2003. ,
The effect of microbubbles on developed turbulence, Phys. Fluids, vol.15, p.5, 2003. ,
Mathematical Modeling of Two-Phase Flow, 2015. ,
Numerical description of flow regime transitions in bubble column reactors by a multiple gas phase model, Chem. Engng Sci, vol.58, issue.10, pp.2113-2121, 2003. ,
Modeling of turbulent structure of an upward polydisperse gas-liquid flow, Fluid Dyn, vol.50, issue.2, pp.229-239, 2015. ,
Modelling and simulation of the dynamic flow behaviour in a bubble column, Chem. Engng Sci, vol.56, issue.4, pp.1737-1747, 2001. ,
A high-order projection method for tracking fluid interfaces in variable density incompressible flows, J. Comput. Phys, vol.130, pp.269-282, 1997. ,
On a kinetic equation for the transport of particles in turbulent flows, Phys. Fluids A, vol.3, issue.3, pp.446-456, 1991. ,
A model of bubble-induced turbulence based on large-scale wake interactions, J. Fluid Mech, vol.719, pp.362-387, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00946094
Experimental characterization of the agitation generated by bubbles rising at high Reynolds number, J. Fluid Mech, vol.643, pp.509-539, 2010. ,
The approximate arithmetical solution by finite differences of physical problems involving differential equations, with an application to the stresses in a masonry dam, Phil. Trans. R. Soc. Lond. A, vol.210, pp.459-470, 1911. ,
Physical interpretation of probability density functions of bubble-induced agitation, J. Fluid Mech, vol.809, pp.240-263, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01401237
Agitation, mixing, and transfers induced by bubbles, Annu. Rev. Fluid Mech, vol.50, pp.25-48, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01778999
Velocity fluctuations in a homogeneous dilute dispersion of high-Reynolds-number rising bubbles, J. Fluid Mech, vol.453, pp.395-410, 2002. ,
Wake attenuation in large Reynolds number dispersed two-phase flows, Phil. Trans. R. Soc. Lond. A, vol.366, pp.2177-2190, 2008. ,
Bubble-induced turbulence: comparison of CFD models, Nucl. Engng Des, vol.258, pp.57-65, 2013. ,
Direct numerical simulations of spherical bubbles in vertical turbulent channel flow. Influence of bubble size and bidispersity, Intl J. Multiphase Flow, vol.81, pp.27-45, 2016. ,
Budget analysis of the turbulent kinetic energy for bubbly flow in a vertical channel, Chem. Engng Sci, vol.141, pp.46-62, 2016. ,
Liquid turbulence kinetic energy budget of co-current bubbly flow in a large diameter vertical pipe, J. Fluids Engng, vol.133, issue.9, p.91303, 2011. ,
Modelling the pressure-strain correlation of turbulence: an invariant dynamical systems approach, J. Fluid Mech, vol.227, pp.245-272, 1991. ,
Transverse migration of single bubbles in simple shear flows, Chem. Engng Sci, vol.57, issue.11, pp.1849-1858, 2002. ,
Jump conditions for filtered quantities at an under-resolved discontinuous interface. Part 1: theoretical development, Intl J. Multiphase Flow, vol.35, issue.12, pp.1100-1118, 2009. ,
Jump conditions for filtered quantities at an under-resolved discontinuous interface. Part 2: a priori tests, Intl J. Multiphase Flow, vol.35, issue.12, pp.1119-1129, 2009. ,
DNS of the interaction between a deformable buoyant bubble and a spatially decaying turbulence: a priori tests for LES two-phase flow modelling, Comput. Fluids, vol.37, issue.7, pp.877-886, 2008. ,
Volume-conserving mesh smoothing for fronttracking methods, Comput. Fluids, vol.67, pp.16-25, 2012. ,
A two-equation turbulence model of turbulent bubbly flows, Intl J. Multiphase Flow, vol.27, issue.11, pp.1965-2000, 2001. ,
Computations of multiphase flows, Adv. Appl. Mech, vol.39, issue.C, pp.81-120, 2003. ,
Multiscale considerations in direct numerical simulations of multiphase flows, Phys. Fluids, vol.25, p.31302, 2013. ,
Bubble-induced turbulence modeling for vertical bubbly flows, Intl J. Heat Mass Transfer, vol.115, pp.741-752, 2017. ,
Comparison of direct numerical simulation databases of turbulent channel flow at Re = 180, Phys. Fluids, vol.26, issue.1, p.15102, 2014. ,
Turbulence modeling for CFD, 1993. ,
Low-storage Runge-Kutta schemes, J. Comput. Phys, vol.35, issue.1, pp.48-56, 1980. ,