Numerical study of the sedimentation of spheroidal particles, International Journal of Multiphase Flow, vol.87, pp.16-34, 2016. ,
Instabilités de sillage générées derrière un corps solide cylindrique, fixe ou mobile dans un fluide visqueux, 2010. ,
Bifurcations in the wake of a thick circular disk, Theoretical and Computational Fluid Dynamics, vol.24, issue.1, pp.305-313, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00877297
Slender-body theory for particles of arbitrary cross-section in stokes flow, Journal of Fluid Mechanics, vol.44, issue.3, pp.419-440, 1970. ,
An introduction to fluid dynamics, 1967. ,
Order within chaos, 1987. ,
An euler-lagrange strategy for simulating particleladen flows, Journal of Computational Physics, vol.238, pp.1-31, 2013. ,
Parametric study of the transition in the wake of oblate spheroids and flat cylinders, Journal of Fluid Mechanics, vol.665, pp.199-208, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00586147
Bubbles, drops, and particles, 1978. ,
Experimental determination of the main features of the viscous flow in the wake of a circular cylinder in uniform translation. part 1. steady flow, Journal of Fluid Mechanics, vol.79, issue.2, pp.231-256, 1977. ,
The steady motion of a particle of arbitrary shape at small reynolds numbers, Journal of Fluid Mechanics, vol.23, issue.4, pp.625-643, 1965. ,
Symmetry and symmetry-breaking bifurcations in fluid dynamics, Annual Review of Fluid Mechanics, vol.23, issue.1, pp.341-387, 1991. ,
, , 2015.
, Fully resolved simulations of the flow through a packed bed of cylinders: Effect of size distribution, Chemical Engineering Science, vol.129, pp.180-192
Wake-induced oscillatory paths of bodies freely rising or falling in fluids, Annual Review of Fluid Mechanics, vol.44, pp.97-121, 2012. ,
Particle resolved simulations of liquid/solid and gas/solid fluidized beds, Physics of Fluids, vol.29, issue.3, p.33302, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01565238
Bifurcations and symmetry breaking in the wake of axisymmetric bodies, Physics of Fluids, vol.20, issue.5, p.51702, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00874366
Vortex systems on slender rotating bodies and their effect on the aerodynamic coefficients. NASA technical memorandum, 1966. ,
Flow around an inclined circular disk, Journal of Fluid Mechanics, vol.851, pp.687-714, 2018. ,
Breaking of axisymmetry and onset of unsteadiness in the wake of a sphere, Journal of Fluid Mechanics, vol.423, pp.33-69, 2000. ,
A distributed Lagrange multiplier/fictitious domain method for particulate flows, International Journal of Multiphase Flow, vol.25, issue.5, pp.755-794, 1999. ,
Fluid-dynamic drag: practical information on aerodynamic drag and hydrodynamic resistance, Hoerner Fluid Dynamics, 1965. ,
New simple correlation formula for the drag coefficient of non-spherical particles, Powder Technology, vol.184, issue.3, pp.361-365, 2008. ,
Lattice boltzmann simulations to determine drag, lift and torque acting on non-spherical particles, Computers & Fluids, vol.38, issue.3, pp.572-589, 2009. ,
Direct simulation of fluid particle motions, Theoretical and Computational Fluid Dynamics, vol.3, pp.285-306, 1992. ,
Eddies, streams, and convergence zones in turbulent flows, 1988. ,
Vortex shedding from a circular cylinder of finite length at low reynolds numbers, Physics of Fluids, vol.20, issue.3, p.33601, 2008. ,
The behaviour of freely falling cylinders and cones in a viscous fluid, Journal of Fluid Mechanics, vol.22, issue.4, pp.709-720, 1965. ,
Flow past a sphere up to a reynolds number of 300, Journal of Fluid Mechanics, vol.378, pp.19-70, 1999. ,
An improved immersed boundary method with direct forcing for the simulation of particle laden flows, Journal of Computational Physics, vol.231, issue.9, pp.3663-3684, 2012. ,
Inertia effects on the motion of long slender bodies, Journal of Fluid Mechanics, vol.209, pp.435-462, 1989. ,
On the equation for spherical-particle motion: effect of reynolds and acceleration numbers, Journal of Fluid Mechanics, vol.367, issue.1, pp.221-253, 1998. ,
Drag and lift forces on a rotating sphere in a linear shear flow, Journal of Fluid Mechanics, vol.384, pp.183-206, 1999. ,
Immersed boundary methods, Annu. Rev. Fluid Mech, vol.37, pp.239-261, 2005. ,
For instance if there are two modes ,
The increase of numerical errors for low Reynolds number flow past immersed boundaries is also observed by Kempe and Fröhlich [31] and ? ]. In their cases those are a direct consequence of IBM forcing before the implicit step of the Crank-Nicholson method ,
This bifurcation might already exist since the mean of the lift force observed in the periodic regimes is not exactly zero (Appendix C 1). A more detailed study could clarify if the non-zero mean value is due to a real bifurcation or to numerical errors ,
Single pairs of steady counter-rotating vortices are found for (Re = 25, ? = 75 ? ) and (Re = 125, ? = 70 ? ). This regime is presented in the next section and detailed in Appendix C 2 ,
We have purposely considered a range of yaw angles larger than the one discussed in the present section, since the added regimes (? = 65 ? ) have slightly different wake patterns but comparable ,
It is possible to include higher order terms, but it does not improve significantly the model. Indeed one of the drawbacks of slender body theory is that ,
An analysis of the fractional step method, Journal of Computational Physics, vol.108, issue.1, pp.51-58, 1993. ,
Inertial settling of a sphere through an interface. part 1. from sphere flotation to wake fragmentation, Journal of Fluid Mechanics, vol.835, pp.762-807, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01660645
A quadtree-adaptive multigrid solver for the Serre-Green-Naghdi equations, Journal of Computational Physics, vol.302, pp.336-358, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01163101
Computational methods for multiphase flow, 2009. ,
Free falling and rising of spherical and angular particles, Physics of Fluids, vol.26, issue.8, p.83301, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01085146
The effects of yaw and finite length upon the vortex wakes of stationary and vibrating circular cylinders, Journal of Fluid Mechanics, vol.128, pp.81-107, 1983. ,
Tests on Smooth and Stranded Wires Inclined T the Wind Direction, and a Comparison of Results on Stranded Wires in Air and Water, 1917. ,
Using a multi-parameter particle shape description to predict the motion of non-spherical particle shapes in swirling flow, Applied Mathematical Modelling, vol.24, issue.1, pp.11-25, 2000. ,
Three-dimensional numerical simulations of the transition of flow past a cube, Physics of Fluids, vol.16, issue.5, pp.1630-1646, 2004. ,
A study on vortex shedding from spheres in a uniform flow, Transactions, Journal of Fluids Engineering, vol.112, pp.386-392, 1990. ,
On the orientational dependence of drag experienced by spheroids, Journal of Fluid Mechanics, p.820, 2017. ,
The boundary layer of yawed cylinders, Journal of the Aeronautical Sciences, 1948. ,
Numerical investigation of transitional and weak turbulent flow past a sphere, Journal of Fluid Mechanics, vol.416, pp.45-73, 2000. ,
Freely falling cylinders at moderate reynolds numbers; part 1: kinematics and wake, Journal of Fluid Mechanics, 2018. ,
An immersed boundary method with direct forcing for the simulation of particulate flows, Journal of Computational Physics, vol.209, pp.448-476, 2005. ,
The motion of a single heavy sphere in ambient fluid: a benchmark for interface-resolved particulate flow simulations with significant relative velocities, International Journal of Multiphase Flow, vol.59, pp.221-243, 2014. ,
Drag and lift coefficients of inclined finite circular cylinders at moderate reynolds numbers, Computers & Fluids, vol.38, issue.9, pp.1771-1781, 2009. ,
DOI : 10.1016/j.compfluid.2009.03.006
A dem-dlm/fd method for direct numerical simulation of particulate flows: Sedimentation of polygonal isometric particles in a newtonian fluid with collisions, Computers & Fluids, vol.38, issue.8, pp.1608-1628, 2009. ,
PeliGRIFF, a parallel DEM-DLM/FD direct numerical simulation tool for 3D particulate flows, Journal of Engineering Mathematics, vol.71, issue.1, pp.131-155, 2011. ,
Accuracy of finite volume/staggered grid distributed lagrange multiplier/fictitious domain simulations of particulate flows, Computers & Fluids, vol.115, pp.154-172, 2015. ,
Further data on the law of liquid and air drag, Phys. Z, vol.23, pp.219-224, 1922. ,
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. ,
Flow past short circular cylinders with two free ends, Journal of Fluid Mechanics, vol.203, pp.557-575, 1989. ,
DOI : 10.1017/s002211208900159x
Flow around Circular Cylinders, vol.2, 2003. ,
DOI : 10.1115/1.3242521
Direct numerical simulation of three-dimensional flow past a yawed circular cylinder of infinite length, Journal of Fluids and Structures, vol.25, issue.5, pp.831-847, 2009. ,