Fluid mechanical description of fluidized beds. equations of motion, Ind. and Eng. Chem. Fundamentals, vol.6, issue.4, pp.527-539, 1967. ,
Mathematical methods for physicists, 2005. ,
A simulation technique for many spheres in quasi-static motion under frameinvariant pair drag and brownian forces, Physica A : Stat. Mech. and Appl, vol.247, issue.1-4, pp.444-472, 1997. ,
Biorthogonal basis functions in hp-adaptive fem for elliptic obstacle problems, Comp. and Math. with App, vol.70, issue.8, pp.1721-1742, 2015. ,
Brownian diffusion of particles with hydrodynamic interaction, J. of Fluid Mech, vol.74, issue.1, pp.1-29, 1976. ,
The hydrodynamic interaction of two small freely-moving spheres in a linear flow field, J. of Fluid Mech, vol.56, issue.2, pp.375-400, 1972. ,
The determination of the bulk stress in a suspension of spherical particles to order c 2, J. Fluid Mech, vol.56, issue.03, pp.401-427, 1972. ,
Existence and weak stability for a pressureless model with unilateral constraint, Math. Mod. and Meth. in App. Sci, vol.12, issue.02, pp.249-272, 2002. ,
Weak solutions for a hyperbolic system with unilateral constraint and mass loss, Annales de l'IHP (C) Non Linear Anal, vol.20, pp.975-997, 2003. ,
A model for the evolution of traffic jams in multi-lane. Kinetic and Related Models, vol.5, pp.697-728, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00874398
A model for the formation and evolution of traffic jams, Arch. for Rational Mech. and Anal, vol.187, issue.2, pp.185-220, 2008. ,
Dynamics of polymeric liquids, vol.1, 1987. ,
Rhéologie et microstructure des suspensions concentrées non browniennes, 2011. ,
Local transient rheological behavior of concentrated suspensions, J. Rheol, vol.55, issue.4, pp.835-854, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00646078
Experimental signature of the pair trajectories of rough spheres in the shear-induced microstructure in noncolloidal suspensions, Phys. Rev. Lett, vol.107, issue.20, p.208302, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00645540
Microstructure in sheared non-Brownian concentrated suspensions, J. Rheol, vol.57, issue.1, pp.273-292, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00781954
Sommes de cesaro et multiplicateurs des développements en harmoniques sphé-riques, Transactions of the American Mathematical Society, vol.183, pp.223-263, 1973. ,
Dynamic simulation of sheared suspensions. i. general method. The J. of, Chem. Phys, vol.80, issue.10, pp.5141-5154, 1984. ,
Convergence analysis of a penalization method for the three-dimensional motion of a rigid body in an incompressible viscous fluid, SIAM J. on Num. Anal, vol.48, issue.4, pp.1313-1337, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00352808
Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids, E. J. of Mech.-B/Fluids, vol.55, pp.116-131, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-00833468
A hierarchy of models for two-phase flows, J. of NonLinear Sci, vol.10, issue.6, pp.639-660, 2000. ,
A two-phase shallow debris flow model with energy balance, ESAIM : Math. Mod. and Num. Anal, vol.49, issue.1, pp.101-140, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00860871
A two-phase two-layer model for fluidized granular flows with dilatancy effects, J. of Fluid Mech, vol.801, pp.166-221, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01161930
A two-phase two-layer model for fluidized granular flows with dilatancy effects, J. of Fluid Mech, vol.801, pp.166-221, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01161930
Free-energy-dissipative schemes for the oldroyd-b model, ESAIM : Math. Mod. and Num. Anal, vol.43, issue.3, pp.523-561, 2009. ,
URL : https://hal.archives-ouvertes.fr/inria-00204620
Unifying suspension and granular rheology, Phys. Rev. Lett, vol.107, issue.18, p.188301, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-01432411
Dense suspensions in rotating-rod flows : normal stresses and particle migration, J. Fluid Mech, vol.686, pp.5-25, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-01432497
The rheology of concentrated suspensions of spheres in simple shear flow by numerical simulation, J. of F. Mech, vol.155, pp.105-129, 1985. ,
Stokesian dynamics, Ann. Rev. of Fluid Mech, vol.20, issue.1, pp.111-157, 1988. ,
Microstructure of strongly sheared suspensions and its impact on rheology and diffusion, J. Fluid Mech, vol.348, pp.103-139, 1997. ,
Development of congestion in compressible flow with singular pressure, Asymptotic Anal, vol.103, issue.1-2, pp.95-101, 2017. ,
Singular limit of a navier-stokes system leading to a free/congested zones two-phase model, Comptes Rendus Mathematique, vol.352, issue.9, pp.685-690, 2014. ,
Compression effects in heterogeneous media, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01838014
Functional analysis, Sobolev spaces and partial differential equations, 2011. ,
Matériaux granulaires -Modélisation et simulation numérique, 2012. ,
Shear reversal in dense suspensions : the challenge to fabric evolution models from simulation data, J. of Fluid Mech, vol.847, pp.700-734, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01954130
A three-dimensional numerical model for incompressible two-phase flow of a granular bed submitted to a laminar shearing flow, Comp. Meth. in App. Mech. and Eng, vol.199, pp.439-449, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00619372
Particle migration of non-brownian, concentrated suspensions in a truncated cone-and-plate, In S. of Rheol. Meeting, vol.103, 1995. ,
Des sources sédimentaires à l'exutoire : un problème de connectivité ? PhD thesis, 2014. ,
Suspensions in a tilted trough : second normal stress difference, J. Fluid Mech, vol.686, pp.26-39, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-01432501
A discrete numerical model for granular assemblies, Geotechnique, vol.29, issue.1, pp.47-65, 1979. ,
Rheology of dense suspensions of non-colloidal spheres in yield-stress fluids, J. of Fluid Mech, vol.776, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01432397
Convergence rate of spherical harmonic expansions of smooth functions, J. of Math. Anal. and Appl, vol.348, issue.1, pp.28-33, 2008. ,
Elongational flows of some non-colloidal suspensions, Rheol. Acta, vol.56, issue.1, pp.63-71, 2017. ,
Viscometric functions for noncolloidal sphere suspensions with Newtonian matrices, J. Rheol, vol.57, issue.2, pp.493-510, 2013. ,
A suspension balance direct-forcing immersed boundary model for wet granular flows over obstacles, J. Non-Newt. Fluid Mech, vol.230, pp.68-79, 2016. ,
Shear-induced particle migration : Predictions from experimental evaluation of the particle stress tensor, J. of Non-Newtonian Fluid Mech, vol.198, pp.78-95, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00824342
Normal stresses in concentrated non-Brownian suspensions, J. Fluid Mech, vol.715, pp.239-272, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00778723
Particle pressure in a sheared suspension : a bridge from osmosis to granular dilatancy, Phys. Rev. Lett, vol.102, issue.10, p.108301, 2009. ,
Unified theory of inertial granular flows and non-brownian suspensions, Phys. Rev. E, vol.91, issue.6, p.62206, 2015. ,
All speed scheme for the low mach number limit of the isentropic euler equations, Comm. in Comp. Phy, vol.10, issue.1, pp.1-31, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00630995
Mach-number uniform asymptotic-preserving gauge schemes for compressible flows, Bulletin-Institute of Mathematics Academia Sinica, vol.2, issue.4, p.851, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00635618
Numerical simulations of the euler system with congestion constraint, J. of Comp. Phy, vol.230, issue.22, pp.8057-8088, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00996913
Rheology of non-brownian suspensions, Ann. Rev. Chem. Biomol. Eng, vol.5, pp.203-228, 2014. ,
Deterministic and stochastic behaviour of non-Brownian spheres in sheared suspensions, J. Fluid Mech, vol.460, pp.307-335, 2002. ,
The Contact Dynamics method : A nonsmooth story, Comptes Rendus Mécanique, vol.346, pp.247-262, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01676287
Les inéquations en mécanique et en physique. Dunod, 1972. ,
Octave : A high-level interactive language for numerical computations. Free software fundation, 2011. ,
Eine neue bestimmung der moleküldimensionen, Ann. Phys. ser, vol.4, pp.289-306, 1906. ,
Investigation on the theory of the Brownian movement, 1956. ,
Flow-aligned tensor models for suspension flows, Int. J. of multiphase flow, vol.28, issue.1, pp.137-166, 2002. ,
Crowd motion from the granular standpoint, Math. Models and Meth. in App. Sci, vol.25, issue.03, pp.463-493, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01358423
Formal deduction of the saint-venant-exner model including arbitrarily sloping sediment beds and associated energy, ESAIM : Math. Model. and Num. Anal, vol.51, issue.1, pp.115-145, 2017. ,
Nonlinear mechanics of fluidization of beds of spherical particles, J. of Fluid Mech, vol.177, pp.467-483, 1987. ,
Shear-induced structure in a concentrated suspension of solid spheres, J. Rheol, vol.24, issue.6, pp.799-814, 1980. ,
A fictitious domain approach for the simulation of dense suspensions, J. of Comp. Phys, vol.256, pp.367-387, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01026308
Rheology of sheared suspensions of rough frictional particles, J of Fluid Mech, vol.757, pp.514-549, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01069828
Rheology of sheared suspensions of rough frictional particles, J. Fluid Mech, vol.757, pp.514-549, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01069828
Effect of confinement in wall-bounded non-colloidal suspensions, J. of Fluid Mech, vol.799, pp.100-127, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01347658
Simulations of sheared dense noncolloidal suspensions : Evaluation of the role of long-range hydrodynamics, Phy. Rev. Fluids, vol.3, issue.4, p.42301, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01802715
A distributed lagrange multiplier/fictitious domain method for particulate flows, Int. J. of Multiphase Flow, vol.25, issue.5, pp.755-794, 1999. ,
Memory materials without characteristic time and their relation to the rheology of certain particle suspensions, Adv. Coll. Interf. Sci, vol.17, issue.1, pp.241-262, 1982. ,
A dissipative anisotropic fluid model for non-colloidal particle dispersions, J. Fluid Mech, vol.568, pp.1-17, 2006. ,
The slow motion of two identical arbitrarily oriented spheres through a viscous fluid, Chem. Eng. Sci, vol.21, issue.12, pp.1151-1170, 1966. ,
Anisotropic fluid theory : a different approach to the dumbbell theory of dilute polymer solutions, J. Rheol, vol.16, pp.79-97, 1972. ,
A physical introduction to suspension dynamics, 2012. ,
Rheology of dense granular suspensions, J. of Fluid Mech, vol.852, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01902053
Suspension flow past a cylinder : particle interactions with recirculating wakes, J. Fluid Mech, vol.760, p.2, 2014. ,
On the application of immersed boundary, fictitious domain and body-conformal mesh methods to many particle multiphase flows, Int. J. of Multiphase Flow, vol.40, pp.38-55, 2012. ,
A theory of anisotropic fluids, J. Fluid Mech, vol.13, issue.1, pp.33-46, 1962. ,
The effect of brownian motion on the rheological properties of a suspension of non-spherical particles, J. of Fluid Mech, vol.52, issue.4, pp.683-712, 1972. ,
Direct simulation of flows of solid-liquid mixtures, Int. J. of Multiphase Flow, vol.22, issue.2, pp.335-352, 1996. ,
Direct simulation of fluid particle motions, Theo. and Comp. Fluid Dyn, vol.3, issue.5, pp.285-306, 1992. ,
A sufficient condition for a positive definite configuration tensor in differential models, J. Non-Newt. Fluid Mechanics, vol.38, issue.1, pp.93-100, 1990. ,
The statistical mechanical theory of transport processes. iv. the equations of hydrodynamics, The J. of Chem. Phy, vol.18, issue.6, pp.817-829, 1950. ,
Locally averaged equations of motion for a mixture of identical spherical particles and a Newtonian fluid, Chem. Eng. Sci, vol.52, issue.15, pp.2457-2469, 1997. ,
The dynamics of fluidized particles, 2000. ,
Advanced mesh generation and update methods for 3d flow simulations, Comp. Mech, vol.23, issue.2, pp.130-143, 1999. ,
Saddle-point integration of C ? "bump" functions. preprint, 2015. ,
Open source scientific tools for Python, 2001. ,
A constitutive law for dense granular flows, Nature, vol.441, issue.7094, p.727, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-01432178
On the expansion of a function in terms of spherical harmonics in arbitrary dimensions, Bulletin of the Belgian Mathematical Society Simon Stevin, vol.2, issue.4, pp.361-380, 1995. ,
Transient normal stress response in a concentrated suspension of spherical particles, J. Rheol, vol.46, issue.1, pp.321-334, 2002. ,
An outline of hypoplasticity, Arch. Appl. Mech, vol.61, issue.3, pp.143-151, 1991. ,
Rheology of monodisperse latices, Adv. in Coll. and Interface sci, vol.3, issue.2, pp.111-136, 1972. ,
A mechanism for non-newtonian flow in suspensions of rigid spheres, Trans. Soc. Rheol, vol.3, issue.1, pp.137-152, 1959. ,
A free boundary model for korteweg fluids as a limit of barotropic compressible navier-stokes equations, Meth. and App. of Anal, vol.20, issue.2, pp.165-178, 2013. ,
Advanced transport phenomena : fluid mechanics and convective transport processes, 2007. ,
Confined flow of suspensions modelled by a frictional rheology, J. Fluid Mech, vol.759, pp.197-235, 2014. ,
Fluid-particle simulations with freefem++, Esaim : Proceedings, vol.18, pp.120-132, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00728387
Modélisation numérique d'écoulements fluide/particules, 2007. ,
Apparent viscosity of a mixture of a newtonian fluid and interacting particles, Comptes rendus mécanique, vol.333, issue.12, pp.923-933, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00728382
Micro-macro modelling of an array of spheres interacting through lubrication forces, Adv. in Math. Sci. and App, vol.21, issue.2, pp.535-557, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00257250
The shear-induced migration of particles in concentrated suspensions, J. of Fluid Mech, vol.181, pp.415-439, 1987. ,
Migration of rigid particles in non-Brownian viscous suspensions, Phys. Fluids, vol.21, issue.2, p.23302, 2009. ,
Convergence rate of fourier-laplace series of l 2-functions, J. of Approx. Theory, vol.128, issue.2, pp.103-114, 2004. ,
A smoluchowski theory with simple approximations for hydrodynamic interactions in concentrated dispersions, J. of Rheol, vol.41, issue.2, pp.399-425, 1997. ,
On a free boundary barotropic model, Annales de l'IHP (C) Non Linear Anal, vol.16, pp.373-410, 1999. ,
The flow of fiber suspensions in complex geometries, J. Non-Newt. Fluid Mech, vol.26, issue.3, pp.297-325, 1988. ,
Force-coupling method for particulate two-phase flow : Stokes flow, J. of Comp. Phys, vol.184, issue.2, pp.381-405, 2003. ,
Cohesive, frictional powders : contact models for tension, Granular matter, vol.10, p.235, 2008. ,
An experimental study of the motion of concentrated suspensions in twodimensional channel flow. part 1. monodisperse systems, J. of Fluid Mech, vol.363, pp.25-56, 1998. ,
Shear thickening, frictionless and frictional rheologies in non-brownian suspensions, J. of Rheol, vol.58, issue.6, pp.1693-1724, 2014. ,
Nonmonotonic flow curves of shear thickening suspensions, Phys. Rev. E, vol.91, issue.5, p.52302, 2015. ,
Application of Ree-Eyring generalized flow theory to suspensions of spherical particles, J. Colloid Sci, vol.11, issue.1, pp.80-95, 1956. ,
A time-stepping scheme for inelastic collisions, Numerische Mathematik, vol.102, issue.4, pp.649-679, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-01473592
A gluey particle model, ESAIM : Proceedings, vol.18, pp.133-142, 2007. ,
Fluid-particle flow : a symmetric formulation, Comptes Rendus de l'Académie des Sciences-Series I-Mathematics, vol.324, issue.9, pp.1079-1084, 1997. ,
A macroscopic crowd motion model of gradient flow type, Math. Models and Meth. in App. Sci, vol.20, issue.10, pp.1787-1821, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00418511
Simulation methods for particulate flows and concentrated suspensions, Ann. Rev. of Fluid Mech, vol.49, pp.171-193, 2017. ,
Localized force representations for particles sedimenting in stokes flow, Int. J. of multiphase flow, vol.27, issue.9, pp.1603-1626, 2001. ,
Simulations of dispersed turbulent multiphase flow, Fluid Dyn. Res, vol.20, issue.1-6, p.143, 1997. ,
Irreversibility and chaos : role of long-range hydrodynamic interactions in sheared suspensions, Phys. Rev. E, vol.82, issue.5, p.51406, 2010. ,
Normal stress-driven migration and axial development in pressure-driven flow of concentrated suspensions, J. Non-Newt. Fluid Mech, vol.135, issue.2, pp.149-165, 2006. ,
Suspension flow modeling for general geometries, Chem. Eng. Sci, vol.64, issue.22, pp.4597-4610, 2009. ,
Rheology and structure of concentrated suspensions of hard spheres. shear induced particle migration, J. de Physique, vol.II, issue.10, pp.1597-1608, 1995. ,
URL : https://hal.archives-ouvertes.fr/jpa-00248257
User guide for minpack-1, 1980. ,
Standard inelastic shocks and the dynamics of unilateral constraints, Unilateral problems in structural analysis, pp.173-221, 1985. ,
URL : https://hal.archives-ouvertes.fr/hal-01544442
Unilateral contact and dry friction in finite freedom dynamics, Nonsmooth mechanics and Applications, pp.1-82, 1988. ,
URL : https://hal.archives-ouvertes.fr/hal-01713847
Sorne numerical methods in multibody dynamics : application to granular materials, Euro. J. of Mechanics-A/Solids, vol.13, issue.4-suppl, pp.93-114, 1993. ,
URL : https://hal.archives-ouvertes.fr/hal-01789082
A review of microstructure in concentrated suspensions and its implications for rheology and bulk flow, Rheol. Acta, vol.48, issue.8, pp.909-923, 2009. ,
Curvilinear flows of noncolloidal suspensions : the role of normal stresses, J. Rheol, vol.43, issue.5, pp.1213-1237, 1999. ,
, Spherical harmonics, vol.17, 1966.
The motion of small particles and droplets in quadratic flows, Studies in app. math, vol.85, issue.1, pp.53-73, 1991. ,
Transient response of concentrated suspensions after shear reversal, J. Rheol, vol.46, issue.1, pp.295-305, 2002. ,
Lmfit : non-linear least-square minimization and curve-fitting for python, Astrophysics Source Code Library, 2016. ,
Pressure-driven flow of suspensions : simulation and theory, J. Fluid Mech, vol.275, pp.157-199, 1994. ,
The suspension balance model revisited, Phys. Fluids, vol.23, issue.4, p.43304, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-01432494
A method for the calculation of the effective transport properties of suspensions of interacting particles, J. of Fluid Mech, vol.91, issue.1, pp.17-39, 1979. ,
Pressure-driven suspension flow near jamming, Phy. Rev. Let, vol.114, issue.8, p.88301, 2015. ,
On the formulation of rheological equations of states, Proc. R. Soc. Lond. A, vol.200, pp.523-541, 1950. ,
Sediment dynamics. part 1. bed-load transport by laminar shearing flows, J. of Fluid Mech, vol.636, pp.295-319, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-01432009
Local determination of the constitutive law of a dense suspension of noncolloidal particles through magnetic resonance imaging, J. Rheol, vol.50, issue.3, pp.259-292, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00776443
Flows of suspensions of particles in yield stress fluids, J. of Rheol, vol.59, issue.6, pp.1449-1486, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01223726
A new rate-independent tensorial model for suspensions of noncolloidal rigid particles in newtonian fluids, J. of Rheol, vol.62, issue.4, pp.889-903, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01528817
Rheology, microstructure and migration in brownian colloidal suspensions, Langmuir, vol.26, issue.1, pp.133-142, 2009. ,
Mouvement à un nombre fini de degrés de liberté avec contraintes unilatérales : cas avec perte d'énergie, ESAIM : Math. Model. and Num. Anal, vol.27, issue.6, pp.673-717, 1993. ,
A new formulation of the distributed lagrange multiplier/fictitious domain method for particulate flows, Int. J. of Multiphase Flow, vol.26, issue.9, pp.1509-1524, 2000. ,
Pressure-dependent viscosity model for granular media obtained from compressible navier-stokes equations, App. Math. Research eXpress, vol.2016, issue.2, pp.289-333, 2016. ,
Free/congested two-phase model from weak solutions to multi-dimensional compressible navier-stokes equations, Comm. in PDE, vol.40, issue.8, pp.1558-1589, 2015. ,
Rheology of non-brownian suspensions of rough frictional particles under shear reversal : A numerical study, Journal of rheology, vol.60, issue.4, pp.715-732, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01347647
Constitutive equation for concentrated suspensions in Newtonian liquids, J. Rheol, vol.39, issue.4, pp.679-695, 1995. ,
A new constitutive model for monodispersed suspensions of spheres at high concentrations, Rheol. Acta, vol.38, issue.4, pp.297-304, 1999. ,
A numerical simulation of suspension flow using a constitutive model based on anisotropic interparticle interactions, Rheol. Acta, vol.39, issue.2, pp.122-130, 2000. ,
A constitutive equation for concentrated suspensions that accounts for shear-induced particle migration, Phy. of Fluids A : Fluid Dyn, vol.4, issue.1, pp.30-40, 1992. ,
Computational methods for multiphase flow, 2007. ,
Computational methods for multiphase flow, 2009. ,
Description and use of LSODE, the Livermore solver for ordinary differential equations, 1993. ,
The influence of secondary flows induced by normal stress differences on the shear-induced migration of particles in concentrated suspensions, J. of Fluid Mech, vol.603, pp.207-243, 2008. ,
The influence of surface roughness on the particle-pair distribution function of dilute suspensions of non-colloidal spheres in simple shear flow, J. of Fluid Mech, vol.339, pp.1-24, 1997. ,
Finite element analysis of fibre suspension flows, Comput. Meth. Appl. Mech. Eng, vol.190, issue.18, pp.2349-2367, 2001. ,
Sedimentation and fluidisation : Part i, Chem. Eng. Res. and Design, vol.75, pp.82-100, 1997. ,
A new constitutive equation for elastoviscoplastic fluid flows, J. Non-Newt. Fluid Mech, vol.145, issue.1, pp.1-14, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00109101
Complex fluids : modelling and algorithms, Gewerbestrasse, vol.11, 2016. ,
Normal stress differences in dense suspensions, J. of Fluid Mech, vol.857, pp.200-215, 2018. ,
Microstructure and thickening of dense suspensions under extensional and shear flows, J. of Fluid Mech, vol.825, 2017. ,
Accelerated stokesian dynamics simulations, J. of Fluid Mech, vol.448, pp.115-146, 2001. ,
Rheology and microstructure in concentrated noncolloidal suspensions, J. of Rheol, vol.46, issue.5, pp.1031-1056, 2002. ,
Experimental measurements of the normal stresses in sheared stokesian suspensions, J. of Fluid Mech, vol.490, pp.293-320, 2003. ,
Dynamics of shear-induced migration of spherical particles in oscillatory pipe flow, J. of Fluid Mech, vol.786, pp.128-153, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01432419
Rigid-body dynamics with friction and impact, SIAM review, vol.42, pp.3-39, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-01570533
Fluid mechanics and rheology of dense suspensions, Ann. Rev. Fluid Mech, vol.37, pp.129-149, 2005. ,
A constitutive model for microstructure and total stress in particulate suspensions, J. Rheol, vol.50, issue.4, pp.379-413, 2006. ,
Application of a constitutive model for particulate suspensions : time-dependent viscometric flows, J. Rheol, vol.51, issue.6, pp.1271-1302, 2007. ,
Simulation of hydrodynamically interacting particles near a no-slip boundary, Phys. of Fluids, vol.19, issue.11, p.113306, 2007. ,
The hydrodynamics of confined dispersions, J. of Fluid Mech, vol.687, pp.254-299, 2011. ,
A new strategy for finite element computations involving moving boundaries and interfaces-the deforming-spatial-domain/space-time procedure : Ii. computation of free-surface flows, two-liquid flows, and flows with drifting cylinders, Comp. meth. in appl. mech. and eng, vol.94, issue.3, pp.353-371, 1992. ,
Model for granular texture with steric exclusion, Phys. Rev. E, vol.66, issue.4, p.41305, 2002. ,
URL : https://hal.archives-ouvertes.fr/hal-00077973
Modified lees-edwards boundary conditions and viscous contact for numerical simulations of particles in a shear flow, Euro. J. of Comp. Mech, vol.21, pp.397-406, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00783667
Flow of a yield-stress fluid over a cavity : Experimental and numerical investigation of a viscoplastic boundary layer, J. of Non-Newt. Fluid Mech, vol.261, pp.38-49, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01857303
Particle settling in yield stress fluids : limiting time, distance and applications, J. of Non-Newtonian Fluid Mech, vol.238, pp.189-204, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01455108
Accuracy of finite volume/staggered grid distributed lagrange multiplier/fictitious domain simulations of particulate flows, Comp. and Fluids, vol.115, pp.154-172, 2015. ,
Spectral ewald acceleration of stokesian dynamics for polydisperse suspensions, J. of Comp Phy, vol.306, pp.443-477, 2016. ,
Spherical harmonic, from mathworld -a wolfram web resource, 2016. ,
gnuplot : an interactive program, 2010. ,
The viscosity of a dilute suspension of rough spheres, J. of Fluid Mech, vol.421, pp.339-367, 2000. ,
Discontinuous shear thickening without inertia in dense non-brownian suspensions, Physical review letters, vol.112, issue.9, p.98302, 2014. ,
Particle migration and suspension structure in steady and oscillatory plane Poiseuille flow, Phys. Fluids, vol.21, issue.5, p.53302, 2009. ,
Dynamics of concentrated suspensions of non-colloidal particles in couette flow, Journal of Fluid Mechanics, vol.649, pp.205-231, 2010. ,
Simulation of concentrated suspensions using the force-coupling method, J. of Comput. Phys, vol.229, issue.6, pp.2401-2421, 2010. ,
Numerical simulations of concentrated suspensions of monodisperse particles in a poiseuille flow, J. of Fluid Mech, vol.682, pp.491-518, 2011. ,
The characterization of the total stress of concentrated suspensions of noncolloidal spheres in Newtonian fluids, J. Rheol, vol.44, issue.2, pp.185-220, 2000. ,
Averaged equations for inviscid disperse two-phase flow, Journal of Fluid Mechanics, vol.267, pp.185-219, 1994. ,