A. , F. Adams, R. Fournier, and J. F. , Sobolev spaces, Pure and Applied Mathematics, vol.140, 2003.

. Andreu, L1 existence and uniqueness results for quasi-linear elliptic equations with nonlinear boundary conditions. Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.24, pp.61-89, 2007.
DOI : 10.1016/j.anihpc.2005.09.009
URL : https://doi.org/10.1016/j.anihpc.2005.09.009

. Andreu, Renormalized solutions for degenerate elliptic-parabolic problems with nonlinear dynamical boundary conditions and L1-data, Journal of Differential Equations, vol.244, issue.11, pp.2764-2803, 2008.

M. Andrews, D. Andrews, and M. Mcintyre, Planetary waves in horizontal and vertical shear : the generalized Eliassen-Palm relation and the zonal mean acceleration, J. Atmos. Sci, vol.33, pp.2031-2048, 1976.

M. Argyropoulos, C. Argyropoulos, and N. Markatos, Recent advances on the numerical modelling of turbulent flows, vol.39, pp.693-732, 2015.

[. Barenblatt, Scaling laws for fully developed turbulent flow in pipes, Applied Mechanics Reviews, vol.50, issue.7, pp.413-429, 1997.

G. Barenblatt and J. Chorin, Scaling of the intermediate region in wall-bounded turbulence : The power law, Physics of Fluids, vol.10, issue.4, pp.1043-1044, 1998.

G. K. Batchelor, The theory of homogeneous turbulence, Cambridge Monographs on Mechanics and Applied Mathematics, 1959.

. Behrendt, Profiles of second-to fourth-order moments of turbulent temperature BIBLIOGRAPHIE fluctuations in the convective boundary layer : first measurements with rotational raman lidar, Atmospheric Chemistry and Physics, vol.15, issue.10, pp.5485-5500, 2015.

. Bennis, Numerical modelling of algebraic closure models of oceanic turbulent mixing layers, M2AN Math. Model. Numer. Anal, vol.44, issue.6, pp.1255-1277, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00548725

L. Berselli, L. Berselli, and R. Lewandowski, On the reynolds time-averaged equations and the long-time behavior of leray-hopf weak solutions, with applications to ensemble averages, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01695374

[. Bidadi, R. ;. Bidadi, S. Rani, and S. , Quantification of numerical diffusivity due to tvd schemes in the advection equation, Journal of Computational Physics, vol.261, pp.65-82, 2014.

B. Blanke and P. Delecluse, Variability of the tropical atlantic ocean simulated by a general circulation model with two different mixed-layer physics, J. Phys. Oceanogr, vol.23, pp.1363-1388, 1993.
URL : https://hal.archives-ouvertes.fr/hal-01143309

[. Blocken, CFD simulation of the atmospheric boundary layer : wall function problems, Atmospheric Environment, vol.41, issue.2, pp.238-252, 2007.

[. Boccardo, Existence of a solution for a weaker form of a nonlinear elliptic equation, Recent advances in nonlinear elliptic and parabolic problems, vol.208, pp.149-169, 1988.

M. Boccardo, L. Boccardo, and F. Murat, A property of nonlinear elliptic equations when the right-hand side is a measure, Potential Anal, vol.3, issue.3, pp.257-263, 1994.

J. Boussinesq, Theorie de l'écoulement tourbillant. Mém. prés par div. savants á la Acad, Sci, vol.23, pp.46-50, 1877.

H. Brezis, Functional analysis, Sobolev spaces and partial differential equations, 2011.

. Bibliographie-[brossier, F. Lewandowski-;-brossier, and R. Lewandowski, Impact of the variations of the mixing length in a first order turbulent closure system, p.2, 2002.

, Math. Model. Numer. Anal, vol.36, issue.2, pp.345-372

W. Bruner, C. Bruner, and R. Walters, Parallelization of the Euler equations on unstructured grids, 13th Computational Fluid Dynamics Conference, Fluid Dynamics and Co-located Conferences, 1997.

[. Bulí?ek, On evolutionary Navier-Stokes-Fourier type systems in three spatial dimensions, Comment. Math. Univ. Carolin, vol.52, issue.1, pp.89-114, 2011.

[. Businger, Flux-Profile Relationships in the Atmospheric Surface Layer, 1971.

[. Busse, Direct numerical simulation of turbulent flow over a rough surface based on a surface scan, Computers & Fluids, vol.116, pp.129-147, 2015.

[. Cammilleri, Pod-spectral decomposition for fluid flow analysis and model reduction, Theoretical and Computational Fluid Dynamics, vol.27, issue.6, pp.787-815, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00793380

M. Cannone, Harmonic analysis tools for solving the incompressible Navier-Stokes equations, Handbook of mathematical fluid dynamics, 2004.

J. Carlier and M. Stanislas, Experimental study of eddy structures in a turbulent boundary layer using particle image velocimetry, and Stanislas, vol.535, pp.143-188, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00072384

J. Chabrowski, On the Neumann problem with L1 data, Colloq. Math, vol.107, issue.2, pp.301-316, 2007.

. [chacòn-rebollo, T. Lewandowski-;-chacòn-rebollo, R. Lewandowski, and . Chandramouli, Mathematical and Numerical Foundations of Turbulence Models and Applications. Modeling and Simulation in Science, Engineering and Technology, Computer and Fluids, vol.168, pp.170-189, 2014.

. Chemin, J. Gallagher-;-chemin, and I. Gallagher, Wellposedness and stability results for the Navier-Stokes equations in R 3, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.26, issue.2, pp.599-624, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00110863

P. Cheng, W. Cheng, and F. , Large-eddy simulation of flow and scalar dispersion in rural-to-urban transition regions, International Journal of Heat and Fluid Flow, vol.60, pp.47-60, 2016.

P. Chow, Stochastic partial differential equations, 2007.

B. Cipra, A new theory of turbulence causes a stir among experts, Science, vol.272, issue.5264, pp.951-951, 1996.

[. Clark, Evaluation of subgrid-scale models using an accurately simulated turbulent flow, Journal of Fluid Mechanics, vol.91, issue.1, pp.1-16, 1979.

[. Coleman, Direct simulation of the stably stratified turbulent Ekman layer, Journal of Fluid Mechanics, vol.244, issue.1, p.677, 1992.

D. Coles, The law of the wake in the turbulent boundary layer, Journal of Fluid Mechanics, vol.1, pp.191-226, 1956.

C. , F. Constantin, P. Foias, and C. , Navier-Stokes equations, Chicago Lectures in Mathematics, 1988.

M. S. Darwish, F. Moukalled, and J. W. Deardorff, A numerical study of three-dimensional turbulent channel flow at large reynolds numbers, International Journal of Heat and Mass Transfer, vol.46, issue.2, pp.453-480, 1970.

D. Alamo, Scaling of the energy spectra of turbulent channels, Journal of Fluid Mechanics, vol.500, pp.135-144, 2004.

B. , Wall shear stress fluctuations : Mixed scaling and their effects on velocity fluctuations in a turbulent boundary layer, Physics of Fluids, issue.5, p.29, 2017.

. Ducros, Wall-adapting local eddyviscosity models for simulations in complex geometries, Numerical Methods for Fluid Dynamics VI, 1998.

A. J. Dyer-;-dyer, A review of flux-profile relationships, Boundary-Layer Meteorology, vol.7, issue.3, pp.363-372, 1974.

. Eitel-amor, Simulation and validation of a spatially evolving turbulent boundary layer up to re?= 8300, International Journal of Heat and Fluid Flow, vol.47, pp.57-69, 2014.

[. Khoury, Direct numerical simulation of turbulent pipe flow at moderately high reynolds numbers. Flow, turbulence and combustion, vol.91, pp.475-495, 2013.

[. Eymard, Finite volume methods, Techniques of Scientific Computing, vol.7, pp.713-1018, 2000.
URL : https://hal.archives-ouvertes.fr/hal-02100732

P. Fang, J. Porté-agel, and F. , Large-Eddy Simulation of Very-Large-Scale Motions in the Neutrally Stratified Atmospheric Boundary Layer, Boundary-Layer Meteorology, vol.155, issue.3, pp.397-416, 2015.

E. Feireisl, J. Ferziger, and M. Peric, Computational Methods for Fluid Dynamics, Oxford Lecture Series in Mathematics and its Applications, vol.26, 2001.

T. Foken, 50 years of the Monin-Obukhov similarity theory, Boundary-Layer Meteorology, vol.119, issue.3, pp.431-447, 2006.

K. ;. Frehlich, R. Frehlich, and N. Kelley, Measurements of wind and turbulence profiles with scanning doppler lidar for wind energy applications, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, vol.1, issue.1, pp.42-47, 2008.

U. ;. Frisch and . Kolmogorov, Turbulence, 1995.
URL : https://hal.archives-ouvertes.fr/hal-00630884

. Fujita, H. Kato-;-fujita, and T. Kato, On the navier-stokes initial value problem. i. Archive for Rational Mechanics and Analysis, vol.16, pp.269-315, 1964.

[. Fulgosi, Direct numerical simulation of turbulence in a sheared air-water flow with a deformable interface, Journal of fluid mechanics, vol.482, pp.319-345, 2003.

;. G. Borrell, J. A. Borrell, and J. J. Sillero, A code for direct numerical simulation of turbulent boundary layers at high reynolds numbers in bg/p supercomputers, Computers & Fluids, vol.80, pp.37-43, 2013.

[. Gallouët, On a turbulent system with unbounded eddy viscosities, Nonlinear Anal, vol.52, issue.4, pp.1051-1068, 2003.

P. Gauckler, Etudes Théoriques et Pratiques sur l'Ecoulement et le Mouvement des Eaux, 1867.

[. Gautier, A dns study of jet control with microjets using an immersed boundary method, Int. J. Comput. Fluid Dyn, vol.28, pp.393-410, 2014.

G. , C. George, W. Castillo, and L. , Zero-pressure-gradient turbulent boundary layer, Applied Mechanics Reviews, vol.50, issue.12, pp.689-729, 1997.

M. Germano, A proposal for redefinition of the turbulent stresses in the filtered navier-stokes equations, Physics of Fluids, vol.29, issue.7, pp.2323-2324, 1986.

M. Germano, Turbulence : the filtering approach, Journal of Fluid Mechanics, vol.238, pp.325-336, 1992.

, Fundamentals of large eddy simulation, Advanced turbulent flow computations, vol.395, pp.81-130, 1998.

[. Germano, A dynamic subgrid scale eddy viscosity model, Physics of Fluids A : Fluid Dynamics, vol.3, issue.7, pp.1760-1765, 1991.

. Bibliographie-[gorji, A comparative study of turbulence models in a transient channel flow, Computers & Fluids, vol.89, pp.111-123, 2014.

J. Gullbrand and F. Chow, The effect of numerical errors and turbulence models in large-eddy simulations of channel flow, with and without explicit filtering, Journal of Fluid Mechanics, vol.495, pp.323-341, 2003.

[. Hambleton, Simultaneous orthogonal-plane particle image velocimetry measurements in a turbulent boundary layer, Journal of Fluid Mechanics, vol.560, pp.53-64, 2006.

A. Harten, High resolution schemes for hyperbolic conservation laws, Journal of Computational Physics, vol.49, issue.3, pp.357-393, 1983.

R. Herbin, Analyse numérique des équations aux dérivées partielles, 2011.

U. Högström, Non-dimensional wind and temperature profiles in the atmospheric surface layer : A re-evaluation, Boundary-Layer Meteorology, vol.42, issue.12, pp.55-78, 1988.

D. D. Holm and T. Holzmann, Variational principles for stochastic fluid dynamics, Mathematics, numerics, derivations and openfoam®, vol.471, 2015.

E. Hopf, Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen, Math. Nachr, vol.4, pp.213-231, 1951.

J. Hrvoje, Error analysis and estimation for finite volume method with applications to fluid flow, 1996.

R. I. Issa, Solution of the implicitly discretised fluid flow equations by operator-splitting, Journal of Computational Physics, vol.62, issue.1, pp.40-65, 1986.

H. Jasak, Error analysis and estimation for the finite volume method with applications to fluid flows, 1996.

[. Jeong, Coherent structures near the wall in a turbulent channel flow, Journal of Fluid Mechanics, vol.332, pp.185-214, 1997.

B. Moser-;-jimenez, J. Moser, and R. D. , What are we learning from simulating wall turbulence ? Phil, Trans. R. Soc. A, pp.715-732, 2007.

A. Juneja and J. G. Brasseur, Characteristics of subgrid-resolved-scale dynamics in anisotropic turbulence, with application to rough-wall boundary layers, Physics of Fluids, vol.11, issue.10, pp.3054-3068, 1999.

[. Kadri, H. Kadri, H. , S. Mémin, and E. , Stochastic representation of the Reynolds transport theorem : revisiting large-scale modeling, Computers and Fluids, vol.156, pp.456-469, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01394780

[. Kalitzin, Nearwall behavior of RANS turbulence models and implications for wall functions, Journal of Computational Physics, vol.204, issue.1, pp.265-291, 2005.

T. Kawamura, Numerical investigation of turbulence near a sheared air-water interface. part 2 : Interaction of turbulent shear flow with surface waves, Journal of marine science and technology, vol.5, issue.4, pp.161-175, 2000.

[. Kim, Turbulence statistics in fully developed channel flow at low reynolds number, vol.177, pp.133-166, 1987.

[. Kirkil, Implementation and Evaluation of Dynamic Subfilter-Scale Stress Models for LargeEddy Simulation Using WRF*, Monthly Weather Review, vol.140, issue.1, pp.266-284, 2012.

P. ;. Klebanoff, . National, . Bureau, . Standards, and . Md, Reynolds number dependence, scaling, and dynamics of turbulent boundary layers, Trans. ASME J. Fluids Eng, vol.132, issue.094001, pp.1-48, 1955.

[. Kline, The structure of turbulent boundary layers, Journal of Fluid Mechanics, vol.30, issue.4, pp.741-773, 1967.

A. Kolmogorov, Equations of turbulent motion in an incompressible fluid, Dokl. Akad. Nauk SSSR, vol.30, pp.299-303, 1941.

A. Bibliographie-[kravchenko-and-moin-;-kravchenko and P. Moin, On the effect of numerical errors in large eddy simulations of turbulent flows, Journal of Computational Physics, vol.131, issue.2, pp.310-322, 1997.

S. Krell, Schémas Volumes Finis en mécanique des fluides complexes, 2010.

H. Kunita, Stochastic flows and stochastic differential equations, vol.24, 1997.

S. Laizet and E. Lamballais, High-order compact schemes for incompressible flows : A simple and efficient method with quasi-spectral accuracy, Journal of Computational Physics, vol.228, issue.16, pp.5989-6015, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00459942

L. ;. Laizet, S. Laizet, and N. Li, Incompact3d : A powerful tool to tackle turbulence problems with up to O(105) computational cores, International Journal for Numerical Methods in Fluids, vol.67, pp.1735-1757, 2011.

. Lederer, J. Lewandowski-;-lederer, and R. Lewandowski, A RANS 3D model with unbounded eddy viscosities, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.24, issue.3, pp.413-441, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00363812

. Lee, M. Moser-;-lee, and R. Moser, Direct numerical simulation of turbulent channel flow up to re ? = 5200, Journal of Fluid Mechanics, vol.774, pp.395-415, 2015.

S. K. Lele, Compact finite difference schemes with spectral-like resolution, Journal of Computational Physics, vol.103, pp.16-42, 1992.
DOI : 10.1016/0021-9991(92)90324-r

F. Lemarie, Algorithmes de Schwarz et couplage oceanatmosphere, 2008.
URL : https://hal.archives-ouvertes.fr/tel-00343501

P. Lemarié-rieusset-;-lemarié-rieusset, A. Leonard, and J. Leray, Energy cascade in large-eddy simulations of turbulent fluid flows, Turbulent Diffusion in Environmental Pollution, vol.431, pp.193-248, 1934.

. Bibliographie-[lesieur, The mixing layer and its coherence examined from the point of view of two-dimensional turbulence, Journal of Fluid Mechanics, vol.192, pp.511-534, 1988.

[. Lewandowski-;-lewandowski, R. Lewandowski, and R. , The mathematical analysis of the coupling of a turbulent kinetic energy equation to the Navier-Stokes equation with an eddy viscosity, Nonlinear Anal, vol.28, issue.2, pp.393-417, 1997.

R. Lewandowski, Long-time turbulence model deduced from the Navier-Stokes equations, Chin. Ann. Math. Ser. B, vol.36, issue.5, pp.883-894, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01192773

R. Lewandowski, The Kolmogorov-Taylor Law of turbulence : what can rigorously be proved ? Handbook of applications of chaos theory, 2016.

O. ;. Lewandowski, R. Lewandowski, and E. Odin, Turbulent systems for fluids analysed by fixed point theorems, 2018.

P. Lewandowski, R. Lewandowski, and G. Pichot, Numerical simulation of water flow around a rigid fishing net, Comput. Methods Appl. Mech. Engrg, vol.196, pp.4737-4754, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00363762

D. K. Lilly, A proposed modification of the germano subgrid[U+2010]scale closure method, Physics of Fluids A : Fluid Dynamics, vol.4, issue.3, pp.633-635, 1992.

P. Lions, Incompressible models, of Oxford Lecture Series in Mathematics and its Applications, vol.1, 1996.

[. Lombardi, Direct numerical simulation of near-interface turbulence in coupled gas-liquid flow, Physics of Fluids, vol.8, issue.6, pp.1643-1665, 1996.

[. López-castaño, An investigation of strong backflow events at the interface of air-water systems using large-eddy simulation, Journal of Turbulence, pp.1-17, 2018.

B. Lu, P. Lu, H. Porte-agel, and F. , A modulated gradient model for scalar transport in large-eddy simulation of the atmospheric boundary layer, Physics of Fluids, vol.25, issue.1, p.15110, 2013.

P. Lu, H. Porte-agel, and F. , On the Development of a Dynamic Non-linear Closure for Large-Eddy Simulation of the Atmospheric Boundary Layer, Boundary-Layer Meteorology, vol.151, issue.3, pp.429-451, 2014.

P. Simens, J. P. Jimenez-;-m, J. Simens, S. Jimenez, and Y. M. Hoyas, A high-resolution code for turbulent boundary layers, Journal of Computational Physics, vol.228, issue.11, pp.4218-4231, 2009.

[. Marlatt, Direct Numerical Simulation of the Turbulent Ekman Layer : Evaluation of Closure Models, Journal of the Atmospheric Sciences, vol.69, issue.3, pp.1106-1117, 2011.

[. Marusic, Wall-bounded turbulent flows : recent advances and key issues, Phys. Fluids, issue.065103, p.22, 2010.

, On the logarithmic region in wall turbulence, J. Fluid Mech, vol.716, issue.R3, pp.1-11, 2013.

[. Mckeon, Further observations on the mean velocity distribution in fully developed pipe flow, Journal of Fluid Mechanics, vol.501, pp.135-147, 2004.

E. Mémin, O. Métais, and M. Lesieur, Fluid flow dynamics under location uncertainty. Geophysical & Astrophysical Fluid Dynamics, Journal of Fluid Mechanics, vol.108, issue.2, pp.157-194, 1992.

C. B. Millikan, A critical discussion of turbulent flows in channels and circular tubes, Proc. 5th Int, vol.386, 1938.

J. Mizuno, Y. Mizuno, and J. Jiménez, Mean velocity and length-scales in the overlap region of wall-bounded turbulent flows, Physics of Fluids, issue.8, p.23, 2011.

B. Mohammadi and O. Pironneau, Analysis of the k-epsilon turbulence model. RAM : Research in Applied Mathematics, 1994.

P. Masson,

. Bibliographie-[monin, Statistical Fluid Mechanics : Mechanics of Turbulence. Number, vol.1, 2007.

. Monin, A. S. Obukhov-;-monin, and A. M. Obukhov, Basic laws of turbulent mixing in the surface layer of the atmosphere, Tr. Akad. Nauk. SSSR Geophiz. Inst, vol.24, issue.151, pp.163-187, 1954.

[. Moser, Direct numerical simulation of turbulent channel flow up to Re ? =590, Physics of Fluids, vol.11, issue.4, pp.943-945, 1999.

. Moukalled, The finite volume method in computational fluid dynamics, 2016.

B. Øksendal and L. Onsager, Stochastic differential equations, Statistical hydrodynamics. Nuovo Cimento, pp.279-287, 1949.

L. Orlandi, P. Orlandi, and S. Leonardi, Dns of turbulent channel flows with two-and three-dimensional roughness, Journal of Turbulence, issue.7, p.73, 2006.

[. Parente, Improved k-? model and wall function formulation for the rans simulation of abl flows, Journal of wind engineering and industrial aerodynamics, vol.99, issue.4, pp.267-278, 2011.

S. Patankar, Numerical Heat Transfer and Fluid Flow. Series in computational methods in mechanics and thermal sciences, 1980.

C. Pelletier, Étude mathématique du problème de couplage océan-atmosphère incluent les échelles turbulentes, 2018.

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

B. Podvin and Y. Fraigneau, Synthetic wall boundary conditions for the direct numerical simulation of wall-bounded turbulence, Journal of Turbulence, issue.12, p.4, 2011.
URL : https://hal.archives-ouvertes.fr/hal-01834657

S. Pope, Turbulent flows, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00712179

C. C. Bibliographie-[porté, F. , C. C. , and W. , Adjustment of Turbulent Boundary-Layer Flow to Idealized Urban Surfaces : A Large-Eddy Simulation Study, pp.249-270, 2015.

, A scale-dependent dynamic model for large-eddy simulation : application to a neutral atmospheric boundary layer, J. Fluid Mech, vol.415, pp.261-284, 2000.

L. Prandtl, Über die ausgebildeten turbulenz, Zeitschrift für angewandte Mathematik und Mechanik, vol.5, pp.136-139, 1925.

P. Protter, Stochastic differential equations, Stochastic integration and differential equations, pp.249-361, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00101949

M. Reeks, The transport of discrete particles in inhomogeneous turbulence, J. Aerosol Sci, vol.14, issue.6, pp.729-739, 1983.

H. Reichardt, Vollständige darstellung der turbulenten geschwindigkeitsverteilung in glatten leitungen, ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, vol.31, issue.7, pp.208-219, 1951.

[. Resseguier, An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinuous, and of the law of resistance in parallel channels, Philosophical Transactions of the Royal Society of London, vol.828, pp.935-982, 1883.

C. M. Rhie and W. L. Chow, Numerical study of the turbulent flow past an airfoil with trailing edge separation, AIAA Journal, vol.21, pp.1525-1532, 1983.

H. Richards, P. Richards, and R. Hoxey, Appropriate boundary conditions for computational wind engineering models using the k-? turbulence model, Computational Wind Engineering 1, pp.145-153, 1993.

P. L. Roe, Characteristic-based schemes for the euler equations, Annual Review of Fluid Mechanics, vol.18, issue.1, pp.337-365, 1986.

P. Sagaut, An introduction, TranslaBIBLIOGRAPHIE ted from the 1998 French original, With forewords by Marcel Lesieur and Massimo Germano, 2006.

A. Sarkar and R. So, A critical evaluation of near-wall two-equation models against direct numerical simulation data, International Journal of Heat and Fluid Flow, vol.18, issue.2, pp.197-208, 1997.

[. Schlatter, Simulations of spatially evolving turbulent boundary layers up to re?= 4300, International Journal of Heat and Fluid Flow, vol.31, issue.3, pp.251-261, 2010.

G. Schlichting, H. Schlichting, K. Gersten, H. Oertel, S. K. Shah et al., Direct numerical simulations of turbulent Ekman layers with increasing static stability : modifications to the bulk structure and second-order statistics, J. Fluid Mech, vol.760, pp.494-539, 2000.

P. Shamsoddin, S. Shamsoddin, and F. , LargeEddy Simulation of Atmospheric Boundary-Layer Flow Through a Wind Farm Sited on Topography, Boundary-Layer Meteorology, vol.163, issue.1, pp.1-17, 2017.

[. Sillero, One-point statistics for turbulent wall-bounded flows at reynolds numbers up to ? + ?, Physics of Fluids, vol.25, issue.10, p.105102, 2000.

[. Skamarock, A description of the advanced research wrf version 2. Technical report, National Center For Atmospheric Research Boulder Co Mesoscale and Microscale Meteorology Div, Monthly Weather Review, vol.91, issue.3, pp.99-164, 1963.

M. Smith, C. Smith, and S. Metzler, The characteristics of lowspeed streaks in the near-wall region of a turbulent boundary layer, Journal of Fluid Mechanics, vol.129, pp.27-54, 1983.

. Sogachev, Consistent two-equation closure modelling for atmospheric research : buoyancy and vegetation implementations. Boundary-layer meteorology, vol.145, pp.307-327, 2012.

. Bibliographie-[spalart, Direct numerical simulation of the ekman layer : a step in reynolds number, and cautious support for a log law with a shifted origin, Physics of Fluids, vol.20, issue.10, p.101507, 2008.

D. B. Spalding, A single formula for the "law of the wall, Journal of Applied Mechanics, vol.28, pp.455-458, 1961.

C. Speziale, Galilean invariance of subgrid-scale stress models in the large-eddy simulation of turbulence, Journal of Fluid Mechanics, vol.156, pp.55-62, 1985.

G. G. Stokes, On the effect of the internal friction of fluids on the motion of pendulums, Transactions of the Cambridge Philosophical Society, vol.9, pp.8-106, 1851.

P. K. Sweby, High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws, SIAM Journal on Numerical Analysis, vol.21, issue.5, pp.995-1011, 1984.

G. I. Taylor, Statistical theory of turbulence. part i-iv, Proc. Roy. Soc. A, vol.151, pp.421-478, 1935.

S. Taylor, J. R. Taylor, and S. Sarkar, Stratification Effects in a Bottom Ekman Layer, vol.38, pp.2535-2555, 2008.

J. Teghem and R. Temam, Theory and numerical analysis, Recherche opérationnelle Tome1. Ellipses, 2001.

V. ;. Tikhomirov and . Kolmogorov, Selected Works of A, Mathematics and Mechanics. Tikhomirov, V.M, vol.I, 1992.

. Albada, , 1997.

J. Van-doormaal and G. Raithby, Enhancements of the simple method for predicting incompressible fluid flows, A Comparative Study of Computational Methods in Cosmic Gas Dynamics, vol.7, pp.147-163, 1984.

[. Van-leer-;-van-leer and B. , Towards the ultimate conservative difference scheme. ii. monotonicity and conservation combined in a second-order scheme, Journal of Computational Physics, vol.14, issue.4, pp.361-370, 1974.

B. Bibliographie-[van-leer-;-van-leer, Towards the ultimate conservative difference scheme. v. a second-order sequel to godunov's method, Journal of Computational Physics, vol.32, issue.1, pp.101-136, 1979.

T. Von-karman, Meckanishe ähnlichkeit und turbulenz, Gött. Nachr, pp.58-76, 1930.

V. Storch, Das klimasystem und seine modellierung : eine einführung, 2013.

[. Vuorinen, Largeeddy simulation in a complex hill terrain enabled by a compact fractional step OpenFOAM® solver, Advances in Engineering Software, vol.79, pp.70-80, 2015.

[. Vuorinen, On the implementation of low-dissipative Runge-Kutta projection methods for time dependent flows using OpenFOAM, Computers and Fluids, vol.93, pp.153-163, 2014.

[. Wang, Proper orthogonal decomposition closure models for turbulent flows : a numerical comparison, Computer Methods in Applied Mechanics and Engineering, vol.237, pp.10-26, 2012.

[. Wosnik, A theory for turbulent pipe and channel flows, Journal of Fluid Mechanics, vol.421, pp.115-145, 2000.

X. Wu and P. Moin, A direct numerical simulation study on the mean velocity characteristics in turbulent pipe flow, Journal of Fluid Mechanics, vol.608, pp.81-112, 2008.

[. Zagarola, Log laws or power laws : The scaling in the overlap region, Physics of Fluids, vol.9, issue.7, pp.2094-2100, 1997.

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

[. Zhang, Wind-Turbine Wakes in a Convective Boundary Layer : A Wind-Tunnel Study, Boundary-Layer Meteorology, vol.146, issue.2, pp.161-179, 2013.

B. Zhou and F. Chow, Large-Eddy Simulation of the Stable Boundary Layer with Explicit Filtering and Reconstruction Turbulence Modeling, Journal of the Atmospheric Sciences, vol.68, issue.9, pp.2142-2155, 2011.

B. Zhou, . Chow, B. Zhou, and F. Chow, Nested Large-Eddy Simulations of the Intermittently Turbulent Stable Atmospheric Boundary Layer over Real Terrain, Journal of the Atmospheric Sciences, vol.71, issue.3, pp.1021-1039, 2014.