Improved turbulence models based on large eddy simulation of homogeneous, incompressible, turbulent flows, 1983. ,
Ondelettes, paraproduits et Navier-Stokes, Diderot Editeur, Arts et Sciences, 1995. ,
Similarity transformations for the two-dimensional, unsteady, stream-function equation, Journal of Fluid Mechanics, vol.85, pp.257-271, 1978. ,
Numerical simulation of the turbulent Rayleigh-Bénard problem using subgrid modelling, Journal of Fluid Mechanics, vol.158, pp.245-268, 1985. ,
Mathematical and physical constraints on large-eddy simulations, Theorical and Computational Fluid Dynamics, vol.9, issue.2, pp.85-102, 1997. ,
Symmetry reduction and exact solutions of the Navier-Stokes equations I, Journal of Nonlinear Mathematical Physics, vol.1, issue.1, pp.75-113, 1994. ,
Review of symbolic software for the computation of Lie symmetries of differential equations, Euromath Bulletin, vol.1, issue.2, pp.45-79, 1994. ,
The role of the bardina model in large eddy simulation of turbulent channel flow, Physics of Fluids A, vol.1, issue.2, pp.426-428, 1989. ,
, CRC handbook of Lie group analysis of differential equations, vol.1, 1994.
, New trends in theorical developments and computational methods, vol.3, 1996.
Large-eddy simulation of heat transfer downstream of a backward-facing step, Journal of Turbulence, vol.5, issue.020, 2004. ,
Geometric integration via multi-space, Regular and Chaotic Dynamics, vol.9, issue.3, pp.213-226, 2004. ,
A proposed modification of the Germano subgrid-scale closure method, Physics of Fluids, vol.4, issue.3, pp.633-635, 1992. ,
Evaluation of scaling laws derived from lie group symmetry methods in zero-pressure-gradient turbulent boundary layers, Journal of Fluid Mechanics, vol.502, pp.127-152, 2004. ,
Invariante Variationsprobleme, Königliche Gesellschaft der Wissenschaften, pp.235-257, 1918. ,
Invariant modeling in large-eddy simulation of turbulence, 1997. ,
, Symmetries, invariance and scaling-laws in inhomogeneous turbulent shear flows. Flow, Turbulence and Combustion, vol.62, pp.111-135, 1999.
Group analysis, direct numerical simulation and modelling of a turbulent channel flow with streamwise rotation, Journal of Fluid Mechanics, vol.562, pp.355-381, 2006. ,
Applications of Lie groups to differential equations. Graduate texts in mathematics, 1986. ,
Geometric foundations of numerical algorithms and symmetry. Applicable Algebra in Engineering, Communication and Computing, vol.11, issue.5, pp.417-436, 2001. ,
Comparison of subgrid-scale models in LES for turbulent convection flow with heat transfer, 2nd EF Conference in Turbulent Heat Transfer, vol.1, pp.5-25, 1998. ,
Invariant solution of Navier-Stokes equations describing motions with free boundary, Doklady Akademii Nauk SSSR, pp.202-302, 1972. ,
, Consequences of symmetries on the analysis and construction of turbulence models. Symmetry, Integrability and Geometry: Methods and Applications, vol.2, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00312559
Symmetry invariant subgrid models, Proceedings of the Sixth International ERCOFTAC Workshop on Direct and Large-Eddy Simulation, vol.6, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-02093336
A class of subgrid-scale models preserving the symmetry group of Navier-Stokes equations, Communications in Nonlinear Science and Numerical Simulation, vol.12, issue.3, pp.243-253, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00312286
Analysis and development of subgrid turbulence models preserving the symmetry properties of the Navier-Stokes equations, European Journal of Mechanics/B ,
URL : https://hal.archives-ouvertes.fr/hal-00312287
Some interesting properties of two-dimensional turbulence, Physics of Fluids, vol.24, pp.1425-1427, 1981. ,
Application of equivalence transformations to inertial subrange of turbulence, Lie Group and Their Applications, vol.1, issue.1, pp.232-240, 1994. ,
Symbolic computation and differential equations: Lie symmetries, Journal of Symbolic Computation, vol.29, issue.2, pp.95-116, 2000. ,
Frame-indifferent and positive-denite Reynolds stress-strain relation, Journal of Fluid Mechanics, vol.352, pp.341-358, 1997. ,
Physics-preserving turbulent closure models: SGS flux vectors of mass and energy, 3 rd AFOSR International Conference on Direct Numerical Simulation and Large Eddy Simulation (TAICDL), 2001. ,
Testing of a new mixed model for LES : the Leonard model supplemented by a dynamic Smagorinsky term, pp.367-388, 1998. ,