S. G. Advani, C. L. Tucker, and I. , Closure approximations for three-dimensional structure tensors, Journal of Rheology, vol.34, issue.3, pp.367-386, 1990.

C. K. Aidun and J. R. Clausen, Lattice-boltzmann method for complex flows, Annual review of fluid mechanics, vol.42, pp.439-472, 2010.

E. Anczurowski, R. Cox, and S. Mason, The kinetics of flowing dispersions: Iv. transient orientations of cylinders, Journal of Colloid and Interface Science, vol.23, issue.4, pp.547-562, 1967.

E. Anczurowski and S. Mason, The kinetics of flowing dispersions: Iii. equilibrium orientations of rods and discs (experimental), Journal of Colloid and Interface Science, vol.23, issue.4, pp.533-546, 1967.

J. Andri?, S. Lindström, S. Sasic, and H. Nilsson, Ballistic deflection of fibres in decelerating flow, International Journal of Multiphase Flow, 2016.

J. Andri?, S. B. Lindström, S. Sasic, and H. Nilsson, Rheological properties of dilute suspensions of rigid and flexible fibers, Journal of Non-Newtonian Fluid Mechanics, vol.212, pp.36-46, 2014.

J. S. Andri?, S. B. Lindström, S. M. Sasic, and H. Nilsson, Particle-level simulations of flocculation in a fiber suspension flowing through a diffuser, Thermal Science, issue.00, pp.185-185, 2016.

M. N. Ardekani, P. Costa, W. P. Breugem, and L. Brandt, Numerical study of the sedimentation of spheroidal particles, International Journal of Multiphase Flow, vol.87, pp.16-34, 2016.

M. N. Ardekani, P. Costa, W. Breugem, F. Picano, and L. Brandt, Drag reduction in turbulent channel flow laden with finite-size oblate spheroids, Journal of Fluid Mechanics, vol.816, pp.43-70, 2017.

S. Balachandar, A scaling analysis for point-particle approaches to turbulent multiphase flows, International Journal of Multiphase Flow, vol.35, issue.9, pp.801-810, 2009.
DOI : 10.1016/j.ijmultiphaseflow.2009.02.013

S. Balachandar and J. K. Eaton, Turbulent dispersed multiphase flow, Annual Review of Fluid Mechanics, vol.42, pp.111-133, 2010.
DOI : 10.1146/annurev.fluid.010908.165243

G. Batchelor, Slender-body theory for particles of arbitrary cross-section in stokes flow, Journal of Fluid Mechanics, vol.44, issue.03, pp.419-440, 1970.

G. Batchelor, The stress generated in a non-dilute suspension of elongated particles by pure straining motion, Journal of Fluid Mechanics, vol.46, issue.4, pp.813-829, 1971.

G. Batchelor and J. Green, The hydrodynamic interaction of two small freely-moving spheres in a linear flow field, Journal of Fluid Mechanics, vol.56, issue.2, pp.375-400, 1972.

M. A. Bibbó, Rheology of semiconcentrated fiber suspensions, 1987.

M. A. Bibbo, S. M. Dinh, and R. C. Armstrong, Shear flow properties of semiconcentrated fiber suspensions, Journal of Rheology, vol.29, issue.6, pp.905-929, 1985.
DOI : 10.1122/1.549836

S. Bounoua, P. Kuzhir, and E. Lemaire, Normal stress differences in non-brownian fiber suspensions, Journal of rheology, vol.60, issue.4, pp.661-671, 2016.
DOI : 10.1122/1.4954084
URL : https://hal.archives-ouvertes.fr/hal-01356269

F. Bourrier, F. Kneib, B. Chareyre, and T. Fourcaud, Discrete modeling of granular soils reinforcement by plant roots, Ecological engineering, vol.61, pp.646-657, 2013.
DOI : 10.1016/j.ecoleng.2013.05.002

J. F. Brady, The rheological behavior of concentrated colloidal dispersions, The Journal of Chemical Physics, vol.99, issue.1, pp.567-581, 1993.
DOI : 10.1063/1.465782
URL : https://authors.library.caltech.edu/5284/1/BRAjcp93b.pdf

J. F. Brady and G. Bossis, Stokesian dynamics. Annual review of fluid mechanics, vol.20, pp.111-157, 1988.
DOI : 10.1146/annurev.fluid.20.1.111

H. Brenner, The oseen resistance of a particle of arbitrary shape, Journal of Fluid Mechanics, vol.11, issue.4, pp.604-610, 1961.

H. Brenner, The stokes resistance of an arbitrary particle, Chemical Engineering Science, vol.18, issue.1, pp.1-25, 1963.
DOI : 10.1016/0009-2509(63)80001-9

H. Brenner, Rheology of a dilute suspension of axisymmetric brownian particles, International Journal of Multiphase Flow, vol.1, issue.2, pp.195-341, 1974.
DOI : 10.1016/0301-9322(74)90018-4

F. P. Bretherton, The motion of rigid particles in a shear flow at low reynolds number, Journal of Fluid Mechanics, vol.14, issue.02, pp.284-304, 1962.

W. Breugem, A second-order accurate immersed boundary method for fully resolved simulations of particle-laden flows, Journal of Computational Physics, vol.231, issue.13, pp.4469-4498, 2012.

S. Broersma, Rotational diffusion constant of a cylindrical particle, The Journal of Chemical Physics, vol.32, issue.6, pp.1626-1631, 1960.
DOI : 10.1063/1.1730994

S. Broersma, Viscous force constant for a closed cylinder, The Journal of Chemical Physics, vol.32, issue.6, pp.1632-1635, 1960.
DOI : 10.1063/1.1730995

C. Brouzet, G. Verhille, and P. L. Gal, Flexible fiber in a turbulent flow: A macroscopic polymer, Physical review letters, vol.112, issue.7, p.74501, 2014.
DOI : 10.1103/physrevlett.112.074501
URL : https://hal.archives-ouvertes.fr/hal-01308692

G. L. Brown and A. Roshko, On density effects and large structure in turbulent mixing layers, Journal of Fluid Mechanics, vol.64, issue.4, pp.775-816, 1974.
DOI : 10.1017/s002211207400190x
URL : https://authors.library.caltech.edu/10104/1/BROjfm74.pdf

J. Burgers, Second report on viscosity and plasticity. Nordemann, p.113, 1938.

J. E. Butler and B. Snook, Microstructural dynamics and rheology of suspensions of rigid fibers, Annual Review of Fluid Mechanics, issue.0, 2018.
DOI : 10.1146/annurev-fluid-122316-045144

E. Catalano, A pore-scale coupled hydromechanical model for biphasic granular media. Application to granular sediment hydrodynamics, 2012.
URL : https://hal.archives-ouvertes.fr/tel-00743672

N. R. Challabotla, L. Zhao, and H. I. Andersson, On fiber behavior in turbulent vertical channel flow, Chemical Engineering Science, vol.153, pp.75-86, 2016.
DOI : 10.1016/j.ces.2016.07.002

B. Chareyre and P. Villard, Dynamic spar elements and discrete element methods in two dimensions for the modeling of soil-inclusion problems, Journal of engineering mechanics, vol.131, p.689, 2005.

A. J. Chorin, Numerical solution of the navier-stokes equations. Mathematics of computation, vol.22, pp.745-762, 1968.

D. H. Chung and T. H. Kwon, Improved model of orthotropic closure approximation for flow induced fiber orientation, Polymer composites, vol.22, issue.5, pp.636-649, 2001.
DOI : 10.1002/pc.10566

I. L. Claeys and J. F. Brady, Suspensions of prolate spheroids in stokes flow. part 1. dynamics of a finite number of particles in an unbounded fluid, Journal of Fluid Mechanics, vol.251, pp.411-442, 1993.
DOI : 10.1017/s0022112093003477
URL : https://authors.library.caltech.edu/10718/1/CLAjfm93b.pdf

I. L. Claeys and J. F. Brady, Suspensions of prolate spheroids in stokes flow. part 2. statistically homogeneous dispersions, Journal of Fluid Mechanics, vol.251, pp.443-477, 1993.
DOI : 10.1017/s0022112093003477
URL : https://authors.library.caltech.edu/10718/1/CLAjfm93b.pdf

R. Clift, J. R. Grace, and M. E. Weber, Bubbles, drops, and particles. Courier Corporation, 2005.

E. Climent and M. R. , The force coupling method: a flexible approach for the simulation of particulate flows, 2009.

R. Cox, The motion of long slender bodies in a viscous fluid part 1. general theory, Journal of Fluid mechanics, vol.44, issue.04, pp.791-810, 1970.

R. Crowson and M. Folkes, Rheology of short glass fiber-reinforced thermoplastics and its application to injection molding. ii. the effect of material parameters, Polymer Engineering & Science, vol.20, issue.14, pp.934-940, 1980.
DOI : 10.1002/pen.760201404

R. Crowson, M. Folkes, and P. Bright, Rheology of short glass fiber-reinforced thermoplastics and its application to injection molding i. fiber motion and viscosity measurement, Polymer Engineering & Science, vol.20, issue.14, pp.925-933, 1980.
DOI : 10.1002/pen.760201404

B. Delmotte, E. Climent, and F. Plouraboué, A general formulation of bead models applied to flexible fibers and active filaments at low reynolds number, Journal of Computational Physics, vol.286, pp.14-37, 2015.
DOI : 10.1016/j.jcp.2015.01.026
URL : https://hal.archives-ouvertes.fr/hal-01121600

B. Delmotte, E. E. Keaveny, E. Climent, and F. Plouraboué, Simulations of brownian tracer transport in squirmer suspensions, 2017.

B. Delmotte, E. E. Keaveny, F. Plouraboué, and E. Climent, Large-scale simulation of steady and time-dependent active suspensions with the force-coupling method, Journal of Computational Physics, vol.302, pp.524-547, 2015.
DOI : 10.1016/j.jcp.2015.09.020
URL : https://hal.archives-ouvertes.fr/hal-01308042

M. Do-quang, G. Amberg, G. Brethouwer, and A. V. Johansson, Simulation of finite-size fibers in turbulent channel flows, Physical Review E, vol.89, issue.1, p.13006, 2014.
DOI : 10.1103/physreve.89.013006

S. Dong, D. Liu, M. R. Maxey, and G. E. Karniadakis, Spectral distributed lagrange multiplier method: algorithm and benchmark tests, Journal of Computational Physics, vol.195, issue.2, pp.695-717, 2004.
DOI : 10.1016/j.jcp.2003.10.016

Y. Dubief, C. M. White, V. E. Terrapon, E. S. Shaqfeh, P. Moin et al., On the coherent drag-reducing and turbulence-enhancing behaviour of polymers in wall flows, Journal of Fluid Mechanics, vol.514, pp.271-280, 2004.

A. Dufresne, Nanocellulose: from nature to high performance tailored materials, 2017.

P. Dumont, J. Vassal, L. Orgéas, V. Michaud, D. Favier et al., Processing, characterisation and rheology of transparent concentrated fibre-bundle suspensions, Rheologica acta, vol.46, issue.5, pp.639-651, 2007.
DOI : 10.1007/s00397-006-0153-8

J. K. Eaton, Two-way coupled turbulence simulations of gas-particle flows using pointparticle tracking, International Journal of Multiphase Flow, vol.35, issue.9, pp.792-800, 2009.
DOI : 10.1016/j.ijmultiphaseflow.2009.02.009

A. Effeindzourou, B. Chareyre, K. Thoeni, A. Giacomini, and F. Kneib, Modelling of deformable structures in the general framework of the discrete element method, Geotextiles and Geomembranes, vol.44, issue.2, pp.143-156, 2016.

J. Eggels, F. Unger, M. Weiss, J. Westerweel, R. Adrian et al., Fully developed turbulent pipe flow: a comparison between direct numerical simulation and experiment, Journal of Fluid Mechanics, vol.268, pp.175-210, 1994.
DOI : 10.1017/s002211209400131x

J. Einarsson, F. Candelier, F. Lundell, J. Angilella, and B. Mehlig, Rotation of a spheroid in a simple shear at small reynolds number, Physics of Fluids, vol.27, issue.6, p.63301, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01459153

A. Einstein, Über die von der molekularkinetischen theorie der wärme geforderte bewegung von in ruhenden flüssigkeiten suspendierten teilchen, Annalen der physik, vol.322, issue.8, pp.549-560, 1905.
DOI : 10.1002/andp.19053220806
URL : https://onlinelibrary.wiley.com/doi/pdf/10.1002/andp.19053220806

H. Faxén, Der widerstand gegen die bewegung einer starren kugel in einer zähen flüssigkeit, die zwischen zwei parallelen ebenen wänden eingeschlossen ist, Annalen der Physik, vol.373, issue.10, pp.89-119, 1922.

O. Forgacs and S. Mason, Particle motions in sheared suspensions: Ix. spin and deformation of threadlike particles, Journal of colloid science, vol.14, issue.5, pp.457-472, 1959.

N. Frankel and A. Acrivos, The constitutive equation for a dilute emulsion, Journal of Fluid Mechanics, vol.44, issue.01, pp.65-78, 1970.
DOI : 10.1017/s0022112070001696

G. H. Ganser, A rational approach to drag prediction of spherical and nonspherical particles, Powder Technology, vol.77, issue.2, pp.143-152, 1993.
DOI : 10.1016/0032-5910(93)80051-b

M. Germano, U. Piomelli, P. Moin, and W. H. Cabot, A dynamic subgrid-scale eddy viscosity model, Physics of Fluids A: Fluid Dynamics, vol.3, issue.7, pp.1760-1765, 1991.
DOI : 10.1063/1.857955

R. Glowinski, T. Pan, T. I. Hesla, and D. D. Joseph, A distributed lagrange multiplier/fictitious domain method for particulate flows, International Journal of Multiphase Flow, vol.25, issue.5, pp.755-794, 1999.
DOI : 10.1016/s0301-9322(98)00048-2

H. Goldsmith and S. Mason, The microrheology of dispersions, In Rheology, vol.4, pp.85-250, 1967.

E. Guazzelli and J. F. Morris, A physical introduction to suspension dynamics, 2011.

J. Hämäläinen, S. B. Lindström, T. Hämäläinen, and H. Niskanen, Papermaking fibresuspension flow simulations at multiple scales, Journal of Engineering Mathematics, vol.71, issue.1, pp.55-79, 2011.

J. Happel and H. Brenner, Low Reynolds number hydrodynamics: with special applications to particulate media, vol.1, 2012.

A. Hölzer and M. Sommerfeld, New simple correlation formula for the drag coefficient of non-spherical particles, Powder Technology, vol.184, issue.3, pp.361-365, 2008.

A. Hölzer and M. Sommerfeld, Lattice boltzmann simulations to determine drag, lift and torque acting on non-spherical particles, Computers & Fluids, vol.38, issue.3, pp.572-589, 2009.

R. A. Hosn, L. Sibille, N. Benahmed, and B. Chareyre, Discrete numerical modeling of loose soil with spherical particles and interparticle rolling friction, Granular Matter, vol.19, issue.1, p.4, 2017.

G. B. Jeffery, The motion of ellipsoidal particles immersed in a viscous fluid, In Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.102, pp.161-179, 1922.

R. E. Johnson, An improved slender-body theory for stokes flow, J. Fluid Mech, vol.99, issue.02, pp.411-431, 1980.

C. Joung, N. Phan-thien, and X. Fan, Direct simulation of flexible fibers, Journal of non-newtonian fluid mechanics, vol.99, issue.1, pp.1-36, 2001.

M. Junk and R. Illner, A new derivation of jeffery's equation, Journal of Mathematical Fluid Mechanics, vol.9, issue.4, pp.455-488, 2007.

S. Kaplun, Low reynolds number flow past a circular cylinder, Journal of Mathematics and Mechanics, pp.595-603, 1957.

S. Kaplun and P. Lagerstrom, Asymptotic expansions of navier-stokes solutions for small reynolds numbers, Journal of Mathematics and Mechanics, pp.585-593, 1957.

G. Karypis and V. Kumar, A fast and high quality multilevel scheme for partitioning irregular graphs, SIAM Journal on scientific Computing, vol.20, issue.1, pp.359-392, 1998.

J. B. Keller and S. I. Rubinow, Slender-body theory for slow viscous flow, J. Fluid Mech, vol.75, issue.4, pp.705-714, 1976.

R. Kerekes and R. Garner, Measurement of turbulence in pulp suspensions by laser anemometry, PULP & PAPER-CANADA, vol.83, issue.9, pp.53-59, 1982.

R. Khayat and R. Cox, Inertia effects on the motion of long slender bodies, Journal of Fluid Mechanics, vol.209, pp.435-462, 1989.

S. Kim and S. J. Karrila, Microhydrodynamics: principles and selected applications. Courier Corporation, 2013.

C. Kloss, C. Goniva, A. Hager, S. Amberger, and S. Pirker, Models, algorithms and validation for opensource dem and cfd-dem. Progress in Computational Fluid Dynamics, an International Journal, vol.12, issue.2-3, pp.140-152, 2012.

D. L. Koch, A model for orientational diffusion in fiber suspensions, Physics of Fluids, vol.7, issue.8, pp.2086-2088, 1995.

M. Kraushaar, Application of the compressible and low-Mach number approaches to LargeEddy Simulation of turbulent flows in aero-engines, 2011.
URL : https://hal.archives-ouvertes.fr/tel-00711480

A. Kumar and J. J. Higdon, Dynamics of the orientation behavior and its connection with rheology in sheared non-brownian suspensions of anisotropic dicolloidal particles, Journal of Rheology, vol.55, issue.3, pp.581-626, 2011.

A. J. Ladd, Numerical simulations of particulate suspensions via a discretized boltzmann equation. part 1. theoretical foundation, Journal of fluid mechanics, vol.271, pp.285-309, 1994.

A. J. Ladd, Numerical simulations of particulate suspensions via a discretized boltzmann equation. part 2. numerical results, Journal of fluid mechanics, vol.271, pp.311-339, 1994.

O. A. Ladyzhenskaya, The mathematical theory of viscous incompressible flow, Gordon & Breach, vol.12, 1969.

H. Lamb and . Hydrodynamics, , 1932.

L. D. Landau and E. M. Lifshitz, Fluid mechanics: Landau and Lifshitz: course of theoretical physics, vol.6, 2013.

E. Lauga and T. R. Powers, The hydrodynamics of swimming microorganisms, Reports on Progress in Physics, vol.72, issue.9, p.96601, 2009.

L. Leal and E. Hinch, The effect of weak brownian rotations on particles in shear flow, Journal of Fluid Mechanics, vol.46, issue.4, pp.685-703, 1971.

P. F. Lee and G. G. Duffy, Relationships between velocity profiles and drag reduction in turbulent fiber suspension flow, AIChE Journal, vol.22, issue.4, pp.750-753, 1976.

D. Leith, Drag on nonspherical objects, Aerosol science and technology, vol.6, issue.2, pp.153-161, 1987.

L. Li, H. Manikantan, D. Saintillan, and S. E. Spagnolie, The sedimentation of flexible filaments, 2013.

S. Lim, A. Ferent, X. S. Wang, and C. S. Peskin, Dynamics of a closed rod with twist and bend in fluid, SIAM Journal on Scientific Computing, vol.31, issue.1, pp.273-302, 2008.

A. Lindner and M. Shelley, Elastic fibers in flows. Fluid-Structure Interactions in LowReynolds-Number Flows, p.168, 2015.

S. B. Lindström and T. Uesaka, Simulation of the motion of flexible fibers in viscous fluid flow, Physics of Fluids, vol.19, issue.11, p.113307, 1994.

S. B. Lindström and T. Uesaka, Particle-level simulation of forming of the fiber network in papermaking, International Journal of Engineering Science, vol.46, issue.9, pp.858-876, 2008.

S. B. Lindström and T. Uesaka, Simulation of semidilute suspensions of non-brownian fibers in shear flow, The Journal of chemical physics, vol.128, issue.2, p.24901, 2008.

S. B. Lindström and T. Uesaka, A numerical investigation of the rheology of sheared fiber suspensions, Physics of fluids, vol.21, issue.8, p.83301, 2009.

V. Loisel, M. Abbas, O. Masbernat, and E. Climent, The effect of neutrally buoyant finitesize particles on channel flows in the laminar-turbulent transition regime, Physics of Fluids, vol.25, issue.12, p.123304, 1994.

S. Lomholt and M. R. Maxey, Force-coupling method for particulate two-phase flow: Stokes flow, Journal of Computational Physics, vol.184, issue.2, pp.381-405, 2003.

D. Lopez and E. Guazzelli, Inertial effects on fibers settling in a vortical flow, Physical Review Fluids, vol.2, issue.2, p.24306, 2017.
DOI : 10.1103/physrevfluids.2.024306
URL : https://hal.archives-ouvertes.fr/hal-01724974

E. Loth, G. Tryggvason, Y. Tsuji, S. Elghobashi, C. T. Crowe et al., 13.1 overview of multiphase modeling, 2006.
URL : https://hal.archives-ouvertes.fr/hal-01407495

J. L. Lumley, Drag reduction by additives, Annual review of fluid mechanics, vol.1, issue.1, pp.367-384, 1969.
DOI : 10.1146/annurev.fl.01.010169.002055

F. Lundell, L. D. Söderberg, and P. H. Alfredsson, Fluid mechanics of papermaking, Annual Review of Fluid Mechanics, vol.43, pp.195-217, 2011.
DOI : 10.1146/annurev-fluid-122109-160700

M. Malandain, N. Maheu, and V. Moureau, Optimization of the deflated conjugate gradient algorithm for the solving of elliptic equations on massively parallel machines, Journal of Computational Physics, vol.238, pp.32-47, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01657525

C. Marchioli, M. Fantoni, and A. Soldati, Orientation, distribution, and deposition of elongated, inertial fibers in turbulent channel flow, Physics of fluids, vol.22, issue.3, p.33301, 2010.

N. Marheineke and R. Wegener, Modeling and application of a stochastic drag for fibers in turbulent flows, International Journal of Multiphase Flow, vol.37, issue.2, pp.136-148, 2011.

F. Martoïa, P. Dumont, L. Orgéas, M. Belgacem, and J. Putaux, Micro-mechanics of electrostatically stabilized suspensions of cellulose nanofibrils under steady state shear flow, Soft Matter, vol.12, issue.6, pp.1721-1735, 2016.

F. Martoïa, C. Perge, P. Dumont, L. Orgéas, M. Fardin et al., Heterogeneous flow kinematics of cellulose nanofibril suspensions under shear, Soft Matter, vol.11, issue.24, pp.4742-4755, 2015.

S. Mason and R. S. Manley, Particle motions in sheared suspensions: orientations and interactions of rigid rods, In Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.238, pp.117-131, 1956.
DOI : 10.1098/rspa.1956.0207

M. Maxey, Simulation methods for particulate flows and concentrated suspensions, Annual Review of Fluid Mechanics, vol.49, pp.171-193, 2017.
DOI : 10.1146/annurev-fluid-122414-034408

M. Maxey and B. Patel, Localized force representations for particles sedimenting in stokes flow, International journal of multiphase flow, vol.27, issue.9, pp.1603-1626, 2001.
DOI : 10.1016/s0301-9322(01)00014-3

Y. Morinishi, S. Tamano, and E. Nakamura, New scaling of turbulence statistics for incompressible thermal channel flow with different total heat flux gradients, International journal of heat and mass transfer, vol.50, issue.9, pp.1781-1789, 2007.
DOI : 10.1016/j.ijheatmasstransfer.2006.10.012

R. D. Moser, J. Kim, and N. N. Mansour, Direct numerical simulation of turbulent channel flow up to re= 590, Phys. Fluids, vol.11, issue.4, pp.943-945, 1999.
DOI : 10.1063/1.869966

V. Moureau, P. Domingo, and L. Vervisch, Design of a massively parallel cfd code for complex geometries, Comptes Rendus Mecanique, vol.339, issue.2, pp.141-148, 2011.
DOI : 10.1016/j.crme.2010.12.001
URL : https://hal.archives-ouvertes.fr/hal-01672172

E. Nazockdast, A. Rahimian, D. Needleman, and M. Shelley, Cytoplasmic flows as signatures for the mechanics of mitotic positioning, Molecular biology of the cell, vol.28, issue.23, pp.3261-3270, 2017.
DOI : 10.1091/mbc.e16-02-0108
URL : http://www.molbiolcell.org/content/28/23/3261.full.pdf

C. Nilsen, H. I. Andersson, and L. Zhao, A voronoï analysis of preferential concentration in a vertical channel flow, Physics of Fluids, vol.25, issue.11, p.115108, 2013.

A. Oberbeck, Ueber stationäre flüssigkeitsbewegungen mit berücksichtigung der inneren reibung, Journal für die reine und angewandte Mathematik, vol.81, pp.62-80, 1876.

C. Oseen, Ueber die stokes' sche formel, und iiber eine venvandt. e aufgabe in der hydrodynamik, Ark. Math. Astronom. Fys, vol.6, 1910.

J. Paschkewitz, Y. Dubief, C. D. Dimitropoulos, E. S. Shaqfeh, and P. Moin, Numerical simulation of turbulent drag reduction using rigid fibres, Journal of Fluid Mechanics, vol.518, pp.281-317, 2004.

J. Paschkewitz, Y. Dubief, and E. S. Shaqfeh, The dynamic mechanism for turbulent drag reduction using rigid fibers based on lagrangian conditional statistics, Physics of Fluids, vol.17, issue.6, p.63102, 2005.
DOI : 10.1063/1.1925447

N. A. Patankar, P. Singh, D. D. Joseph, R. Glowinski, and T. Pan, A new formulation of the distributed lagrange multiplier/fictitious domain method for particulate flows, International Journal of Multiphase Flow, vol.26, issue.9, pp.1509-1524, 2000.

T. Pedley and J. Kessler, Hydrodynamic phenomena in suspensions of swimming microorganisms, Annual Review of Fluid Mechanics, vol.24, issue.1, pp.313-358, 1992.
DOI : 10.1146/annurev.fluid.24.1.313

C. S. Peskin, Flow patterns around heart valves: a digital computer method for solving the equations of motion, IEEE Transactions on Biomedical Engineering, issue.4, pp.316-317, 1973.

C. S. Peskin, The immersed boundary method, Acta numerica, vol.11, pp.479-517, 2002.

C. S. Peskin and D. M. Mcqueen, A three-dimensional computational method for blood flow in the heart i. immersed elastic fibers in a viscous incompressible fluid, Journal of Computational Physics, vol.81, issue.2, pp.372-405, 1989.

M. P. Petrich, D. L. Koch, and C. Cohen, An experimental determination of the stress-microstructure relationship in semi-concentrated fiber suspensions, Journal of nonnewtonian fluid mechanics, vol.95, issue.2, pp.101-133, 2000.

T. R. Powers, Dynamics of filaments and membranes in a viscous fluid, Reviews of Modern Physics, vol.82, issue.2, p.1607, 2010.

C. Pozrikidis, Boundary integral and singularity methods for linearized viscous flow, 1992.
DOI : 10.1017/cbo9780511624124

A. Prosperetti, Life and death by boundary conditions, Journal of fluid mechanics, vol.768, pp.1-4, 2015.
DOI : 10.1017/jfm.2015.32
URL : https://www.cambridge.org/core/services/aop-cambridge-core/content/view/5B3AAB8912576B0D9754A01F651C9214/S0022112015000324a.pdf/div-class-title-life-and-death-by-boundary-conditions-div.pdf

I. Proudman and J. Pearson, Expansions at small reynolds numbers for the flow past a sphere and a circular cylinder, Journal of Fluid Mechanics, vol.2, issue.3, pp.237-262, 1957.

M. Rahnama, D. L. Koch, and E. S. Shaqfeh, The effect of hydrodynamic interactions on the orientation distribution in a fiber suspension subject to simple shear flow, Physics of Fluids, vol.7, issue.3, pp.487-506, 1995.

A. Robertson, The flow characteristics of dilute fiber suspensions, vol.40, p.326, 1957.

A. M. Roma, C. S. Peskin, and M. J. Berger, An adaptive version of the immersed boundary method, Journal of computational physics, vol.153, issue.2, pp.509-534, 1999.

C. Rosales and C. Meneveau, Linear forcing in numerical simulations of isotropic turbulence: Physical space implementations and convergence properties, Physics of Fluids, vol.17, issue.9, p.95106, 1994.

T. Rosén, Y. Kotsubo, C. K. Aidun, M. Do-quang, and F. Lundell, Orientational dynamics of a triaxial ellipsoid in simple shear flow: Influence of inertia, Phys. Rev. E, vol.96, p.13109, 2017.

M. E. Rosti, A. A. Banaei, L. Brandt, and A. Mazzino, A flexible fiber reveals the secrets of turbulence, 2018.

D. Saintillan, E. Darve, and E. S. Shaqfeh, A smooth particle-mesh ewald algorithm for stokes suspension simulations: The sedimentation of fibers, Physics of Fluids, vol.17, issue.3, p.33301, 2005.

A. Salahuddin, J. Wu, and C. Aidun, Numerical study of rotational diffusion in sheared semidilute fibre suspension, Journal of Fluid Mechanics, vol.692, issue.1, pp.153-182, 2012.

A. Salinas and J. Pittman, Bending and breaking fibers in sheared suspensions, Polymer Engineering & Science, vol.21, issue.1, pp.23-31, 1981.
DOI : 10.1002/pen.760210105

H. Schlichting and K. Gersten, Boundary-Layer Theory, 2016.

C. F. Schmid, L. H. Switzer, and D. J. Klingenberg, Simulations of fiber flocculation: Effects of fiber properties and interfiber friction, Journal of Rheology, vol.44, issue.4, pp.781-809, 1978.

M. Shapiro and M. Goldenberg, Deposition of glass fiber particles from turbulent air flow in a pipe, Journal of aerosol science, vol.24, issue.1, pp.65-87, 1993.

E. S. Shaqfeh and G. H. Fredrickson, The hydrodynamic stress in a suspension of rods, Physics of Fluids A: Fluid Dynamics, vol.2, issue.1, pp.7-24, 1990.

M. Shin and D. L. Koch, Rotational and translational dispersion of fibres in isotropic turbulent flows, Journal of Fluid Mechanics, vol.540, pp.143-173, 2005.

M. Shin, D. L. Koch, and G. Subramanian, Structure and dynamics of dilute suspensions of finite-reynolds-number settling fibers, Physics of Fluids, vol.21, issue.12, p.123304, 2009.

A. J. Sierakowski and A. Prosperetti, Resolved-particle simulation by the physalis method: enhancements and new capabilities, Journal of computational physics, vol.309, pp.164-184, 2016.

A. Sierou and J. F. Brady, Accelerated stokesian dynamics simulations, Journal of Fluid Mechanics, vol.448, pp.115-146, 2001.

A. Sierou and J. F. Brady, Shear-induced self-diffusion in non-colloidal suspensions, Journal of fluid mechanics, vol.506, pp.285-314, 2004.

P. Singh, T. Hesla, and D. Joseph, Distributed lagrange multiplier method for particulate flows with collisions, International Journal of Multiphase Flow, vol.29, issue.3, pp.495-509, 2003.

L. Skinner, Generalized expansions for slow flow past a cylinder, The Quarterly Journal of Mechanics and Applied Mathematics, vol.28, issue.3, pp.333-340, 1975.

P. Skjetne, R. F. Ross, and D. J. Klingenberg, Simulation of single fiber dynamics, The Journal of chemical physics, vol.107, issue.6, pp.2108-2121, 1997.

J. Smagorinsky, General circulation experiments with the primitive equations: I. the basic experiment, Monthly weather review, vol.91, issue.3, pp.99-164, 1963.

B. Snook, L. M. Davidson, J. E. Butler, O. Pouliquen, and E. Guazzelli, Normal stress differences in suspensions of rigid fibres, Journal of Fluid Mechanics, vol.758, pp.486-507, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01432387

B. Snook, E. Guazzelli, and J. E. Butler, Vorticity alignment of rigid fibers in an oscillatory shear flow: Role of confinement, Physics of Fluids, vol.24, issue.12, p.121702, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01432377

J. M. Stockie and S. I. Green, Simulating the motion of flexible pulp fibres using the immersed boundary method, Journal of Computational Physics, vol.147, issue.1, pp.147-165, 1998.

G. G. Stokes, On the effect of the internal friction of fluids on the motion of pendulums, vol.9, p.1851

C. A. Stover, D. L. Koch, and C. Cohen, Observations of fibre orientation in simple shear flow of semi-dilute suspensions, Journal of Fluid Mechanics, vol.238, pp.277-296, 1992.

R. Sundararajakumar and D. L. Koch, Structure and properties of sheared fiber suspensions with mechanical contacts, Journal of Non-Newtonian Fluid Mechanics, vol.73, issue.3, pp.205-239, 1997.

J. W. Swan and J. F. Brady, Particle motion between parallel walls: Hydrodynamics and simulation, Physics of Fluids, vol.22, issue.10, p.103301, 2010.

G. Taylor, Analysis of the swimming of long and narrow animals, In Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.214, pp.158-183, 1952.

S. Tomotika, T. Aoi, and H. Yosinobu, On the forces acting on a circular cylinder set obliquely in a uniform stream at low values of reynolds number, In Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.219, pp.233-244, 1953.

A. Tornberg and M. J. Shelley, Simulating the dynamics and interactions of flexible fibers in stokes flows, Journal of Computational Physics, vol.196, issue.1, pp.8-40, 2004.

S. Tran-cong, M. Gay, and E. E. Michaelides, Drag coefficients of irregularly shaped particles, Powder Technology, vol.139, issue.1, pp.21-32, 2004.
DOI : 10.1016/j.powtec.2003.10.002

B. Trevelyan and S. Mason, Particle motions in sheared suspensions. i. rotations, Journal of Colloid Science, vol.6, issue.4, pp.354-367, 1951.

D. Tritton, Experiments on the flow past a circular cylinder at low reynolds numbers, Journal of Fluid Mechanics, vol.6, issue.04, pp.547-567, 1959.

M. Uhlmann, An immersed boundary method with direct forcing for the simulation of particulate flows, Journal of Computational Physics, vol.209, issue.2, pp.448-476, 2005.

S. Vantieghem, Numerical simulations of quasi-static magnetohydrodynamics using an unstructured finite-volume solver: development and applications, 2011.

R. C. Vaseleski and A. Metzner, Drag reduction in the turbulent flow of fiber suspensions, AIChE Journal, vol.20, issue.2, pp.301-306, 1974.

G. Verhille and A. Bartoli, 3d conformation of a flexible fiber in a turbulent flow. Experiments in Fluids, vol.57, pp.1-10, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01457104

F. Vermolen, K. Vuik, and G. Segal, Deflation in Preconditioned Conjugate Gradient Methods for Finite Element Problems, pp.103-129, 2004.

V. ?milauer, Yade Documentation 2nd ed. The Yade Project, 2015.

G. Wang, M. Abbas, and E. Climent, Modulation of large-scale structures by neutrally buoyant and inertial finite-size particles in turbulent couette flow, Physical Review Fluids, vol.2, issue.8, p.84302, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01695734

F. M. White and I. Corfield, Viscous fluid flow, vol.3, 2006.

J. K. Wiens and J. M. Stockie, Simulating flexible fiber suspensions using a scalable immersed boundary algorithm, Computer Methods in Applied Mechanics and Engineering, vol.290, pp.1-18, 2015.
DOI : 10.1016/j.cma.2015.02.026
URL : http://arxiv.org/pdf/1407.7514

D. C. Wilcox, Turbulence modeling for CFD, DCW industries, vol.2, 1998.

C. Wu, O. Ayeni, A. Berrouk, and K. Nandakumar, Parallel algorithms for cfd-dem modeling of dense particulate flows, Chemical Engineering Science, vol.118, pp.221-244, 2014.

J. Wu and C. K. Aidun, A method for direct simulation of flexible fiber suspensions using lattice boltzmann equation with external boundary force, International Journal of Multiphase Flow, vol.36, issue.3, pp.202-209, 2010.

J. Wu and C. K. Aidun, A numerical study of the effect of fibre stiffness on the rheology of sheared flexible fibre suspensions, Journal of Fluid Mechanics, vol.662, p.123, 2010.

H. J. Xu and C. K. Aidun, Characteristics of fiber suspension flow in a rectangular channel, International Journal of Multiphase Flow, vol.31, issue.3, pp.318-336, 2005.

S. Yamamoto and T. Matsuoka, A method for dynamic simulation of rigid and flexible fibers in a flow field, The Journal of chemical physics, vol.98, issue.1, pp.644-650, 1993.

P. Yeung and S. Pope, An algorithm for tracking fluid particles in numerical simulations of homogeneous turbulence, Journal of computational physics, vol.79, issue.2, pp.373-416, 1988.

P. Yeung and S. Pope, Lagrangian statistics from direct numerical simulations of isotropic turbulence, Journal of Fluid Mechanics, vol.207, pp.531-586, 1989.
DOI : 10.1017/s0022112089002697

G. Youngren and A. Acrivos, Stokes flow past a particle of arbitrary shape: a numerical method of solution, Journal of fluid Mechanics, vol.69, issue.2, pp.377-403, 1975.

Z. Yu, N. Phan-thien, and R. I. Tanner, Dynamic simulation of sphere motion in a vertical tube, Journal of Fluid Mechanics, vol.518, pp.61-93, 2004.

M. V. Zagarola and A. J. Smits, Mean-flow scaling of turbulent pipe flow, Journal of Fluid Mechanics, vol.373, pp.33-79, 1998.

M. Zastawny, G. Mallouppas, F. Zhao, and B. Van-wachem, Derivation of drag and lift force and torque coefficients for non-spherical particles in flows, International Journal of Multiphase Flow, vol.39, pp.227-239, 2012.
DOI : 10.1016/j.ijmultiphaseflow.2011.09.004
URL : http://spiral.imperial.ac.uk/bitstream/10044/1/13837/2/International%20Journal%20of%20Multiphase%20Flow_39_2012.pdf

Z. Zhang and A. Prosperetti, A method for particle simulation, Journal of Applied Mechanics, vol.70, issue.1, pp.64-74, 2003.
DOI : 10.3724/sp.j.1089.2010.10970

L. Zhao and H. I. Andersson, Why spheroids orient preferentially in near-wall turbulence, Journal of Fluid Mechanics, vol.807, pp.221-234, 2016.
DOI : 10.1017/jfm.2016.619

L. Zhao, C. Marchioli, and H. I. Andersson, Slip velocity of rigid fibers in turbulent channel flow, Physics of Fluids, vol.26, issue.6, p.63302, 2014.
DOI : 10.1063/1.4881942
URL : https://air.uniud.it/bitstream/11390/1038033/1/PoF2014.pdf

O. C. Zienkiewicz, R. L. Taylor, and R. L. Taylor, The finite element method, vol.3, 1977.