Direct Numerical Simulation of a Fully Developed Turbulent Channel Flow With Respect to the Reynolds Number Dependence, Journal of Fluids Engineering, vol.123, issue.2, pp.382-393, 2001. ,
DOI : 10.1115/1.1366680
Code_Saturne: a Finite Volume code for the computation of turbulent incompressible flows -industrial applications, International Journal on Finite Volumes, vol.1, pp.1-62, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-01115371
Numerical study of thermal convection in a fluid heated from below, 1966. ,
On the convergence of discrete approximations to the Navier-Stokes equations, Mathematics of Computation, vol.23, issue.106, pp.341-353, 1969. ,
DOI : 10.1090/S0025-5718-1969-0242393-5
An SPH Projection Method, Journal of Computational Physics, vol.152, issue.2, pp.584-607, 1999. ,
DOI : 10.1006/jcph.1999.6246
Improving convergence in smoothed particle hydrodynamics simulations without pairing instability, Monthly Notices of the Royal Astronomical Society, vol.425, issue.2, pp.1-15, 2012. ,
DOI : 10.1111/j.1365-2966.2012.21439.x
Code_Saturne 3.0.0 theory guide. http://code-saturne.org/cms/ sites/default/files/theory-3.0.pdf. Accessed, pp.2013-2023 ,
SPH simulations of flow around a periodic array of cylinders confined in a channel, International Journal for Numerical Methods in Engineering, vol.187, issue.5, pp.1027-1040, 2011. ,
DOI : 10.1002/nme.3088
Dynamic refinement and boundary contact forces in SPH with applications in fluid flow problems, International Journal for Numerical Methods in Engineering, vol.47, issue.3, pp.295-324, 2007. ,
DOI : 10.1002/nme.2010
Unified semi-analytical wall boundary conditions for inviscid, laminar or turbulent flows in the meshless SPH method, International Journal for Numerical Methods in Fluids, vol.153, issue.1, pp.446-472, 2013. ,
DOI : 10.1002/fld.3666
URL : https://hal.archives-ouvertes.fr/hal-00691603
A new 3D parallel SPH scheme for free surface flows, Computers & Fluids, vol.38, issue.6, pp.1203-1217, 2009. ,
DOI : 10.1016/j.compfluid.2008.11.012
High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method, Journal of Computational Physics, vol.48, issue.3, pp.387-411, 1982. ,
DOI : 10.1016/0021-9991(82)90058-4
Specific pre/post treatments for 3-D SPH applications through massive HPC simulations, Proc. 4th international SPHERIC workshop, pp.27-29, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-01156314
A linearised turbulent production in the k-? model for engineering applications, Proc. Vth International Symposium on Engineering Turbulence Modelling and Measurements, pp.157-166, 2002. ,
Pressure boundary conditions for computing incompressible flows with SPH, Journal of Computational Physics, vol.230, issue.19, pp.7473-7487, 2011. ,
DOI : 10.1016/j.jcp.2011.06.013
An incompressible multi-phase SPH method, Journal of Computational Physics, vol.227, issue.1, pp.264-278, 2007. ,
DOI : 10.1016/j.jcp.2007.07.013
Numerical assessment of the Smoothed Particle Hydrodynamics gridless method for incompressible flows and its extension to turbulent flows, 2004. ,
DNS of turbulence and heat transport in a channel flow with different Reynolds and Prandtl numbers and boundary conditions, Turbulence, Heat and Mass Transfer 3 (Proc. of the 3rd International Symposium on Turbulence, Heat and Mass Transfer), pp.15-32, 2000. ,
A variational formulation based contact algorithm for rigid boundaries in two-dimensional SPH applications, Computational Mechanics, vol.33, issue.4, pp.316-325, 2004. ,
DOI : 10.1007/s00466-003-0534-0
Mathematical models of turbulence, 1972. ,
Truly incompressible approach for computing incompressible flows in SPH and comparisons with the traditional weakly compressible approach, 2007. ,
Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method, Journal of Computational Physics, vol.227, issue.18, pp.8417-8436, 2008. ,
DOI : 10.1016/j.jcp.2008.06.005
Normal flux method at the boundary for SPH, Proc. 4th international SPHERIC workshop, pp.149-156, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-01156281
Incompressible smoothed particle hydrodynamics for free-surface flows: A generalised diffusion-based algorithm for stability and validations for impulsive flows and propagating waves, Journal of Computational Physics, vol.231, issue.4, pp.1499-1523, 2012. ,
DOI : 10.1016/j.jcp.2011.10.027
Viscoelastic flow of polymer solutions around a periodic, linear array of cylinders: comparisons of predictions for microstructure and flow fields, Journal of Non-Newtonian Fluid Mechanics, vol.77, issue.3, pp.153-190, 1998. ,
DOI : 10.1016/S0377-0257(97)00067-0
Cercos-Pita, and A. Souto-Iglesias. A boundary integral sph formulation -consistency and applications to isph and wcsph. Progress of Theoretical Physics, pp.439-462, 2012. ,
Fast free-surface detection and level-set function definition in SPH solvers, Journal of Computational Physics, vol.229, issue.10, pp.3652-3663, 2010. ,
DOI : 10.1016/j.jcp.2010.01.019
URL : https://hal.archives-ouvertes.fr/hal-01161589
Unified semi-analytical wall boundary conditions in SPH: analytical extension to 3-D. Numerical Algorithms, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01318437
Study of differential operators in the context of the semi-analytical wall boundary conditions, Proc. 7th international SPHERIC workshop, pp.149-156, 2012. ,
A conservative immersed interface method for Large-Eddy Simulation of incompressible flows, Journal of Computational Physics, vol.229, issue.18, pp.6300-6317, 2010. ,
DOI : 10.1016/j.jcp.2010.04.040
Assessment of Implicit Large-Eddy Simulation with a Conservative Immersed Interface Method for turbulent cylinder flow, International Journal of Heat and Fluid Flow, vol.31, issue.3, pp.368-377, 2010. ,
DOI : 10.1016/j.ijheatfluidflow.2010.02.026
Smoothed particle hydrodynamics, Reports on Progress in Physics, vol.68, issue.8, pp.1703-1759, 2005. ,
DOI : 10.1088/0034-4885/68/8/R01
SPH particle boundary forces for arbitrary boundaries, Computer Physics Communications, vol.180, issue.10, pp.1811-1820, 2009. ,
DOI : 10.1016/j.cpc.2009.05.008
Modeling Low Reynolds Number Incompressible Flows Using SPH, Journal of Computational Physics, vol.136, issue.1, pp.214-226, 1997. ,
DOI : 10.1006/jcph.1997.5776
Transition in a 2-D lid-driven cavity flow, Computers & Fluids, vol.32, issue.3, pp.337-352, 2003. ,
DOI : 10.1016/S0045-7930(01)00053-6
Turbulent flows. Cambridge, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-00338511
Smoothed particle hydrodynamics and magnetohydrodynamics, Journal of Computational Physics, vol.231, issue.3, pp.759-794, 2012. ,
DOI : 10.1016/j.jcp.2010.12.011
URL : http://arxiv.org/abs/1012.1885
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems, SIAM Journal on Scientific and Statistical Computing, vol.7, issue.3, pp.856-869, 1986. ,
DOI : 10.1137/0907058
Incompressible SPH simulation of wave breaking and overtopping with turbulence modelling, International Journal for Numerical Methods in Fluids, vol.9, issue.5, pp.597-621, 2006. ,
DOI : 10.1002/fld.1068
Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface, Advances in Water Resources, vol.26, issue.7, pp.787-800, 2003. ,
DOI : 10.1016/S0309-1708(03)00030-7
Experimental approach to adapt the turbulent flow in the vertical slot fishways to the small fish species, Journal Hydrobiologia, vol.1, pp.177-188, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00384055
Accuracy and performance of implicit projection methods for transient viscous flows using SPH, Proc. 8th international SPHERIC workshop, 2013. ,
ONE AND TWO-EQUATIONS TURBULENT CLOSURES FOR SMOOTHED PARTICLE HYDRODYNAMICS, Proc. 6th Int. Conf. Hydroinformatics, pp.87-94, 2004. ,
DOI : 10.1142/9789812702838_0011
Fluid Mechanics and the SPH method, 2012. ,
DOI : 10.1093/acprof:oso/9780199655526.001.0001
Maximum time step for keeping numerical stability of viscous weakly compressible SPH, Journal of Computational Physics, pp.unpub- lished ,
Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems, SIAM Journal on Scientific and Statistical Computing, vol.13, issue.2, pp.631-644, 1992. ,
DOI : 10.1137/0913035
Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree, Advances in Computational Mathematics, vol.4, issue.1, pp.389-396, 1995. ,
DOI : 10.1007/BF02123482
Accuracy and stability in incompressible SPH (ISPH) based on the projection method and a new approach, Journal of Computational Physics, vol.228, issue.18, pp.6703-6725, 2009. ,
DOI : 10.1016/j.jcp.2009.05.032
SPH with the multiple boundary tangent method, International Journal for Numerical Methods in Engineering, vol.79, issue.10, pp.1416-1438, 2009. ,
DOI : 10.1002/nme.2458