M. A. Beer and G. W. Hammett, Toroidal gyrofluid equations for simulations of tokamak turbulence, Physics of Plasmas, vol.3, issue.11, pp.4046-4064, 1996.
DOI : 10.1063/1.871538

N. B. Abdallah and P. Degond, On a hierarchy of macroscopic models for semiconductors, Journal of Mathematical Physics, vol.37, issue.7, pp.3306-3333, 1996.
DOI : 10.1063/1.531567

M. Bostan, The Vlasov-Poisson system with strong external magnetic field. Finite Larmor radius regime, Asymptot. Anal, vol.61, pp.91-123, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00139666

A. Bottino, T. M. Tran, O. Sauter, J. Vaclavik, and L. Villard, Linear gyrokinetic simulations using particles for small perpendicular wavelength perturbations, Th. Fusion Plasmas, Proceedings of the International Workshop, Varenna, pp.327-332, 2000.

Y. Brenier, convergence of the vlasov-poisson system to the incompressible euler equations, Communications in Partial Differential Equations, vol.230, issue.3-4, pp.737-754, 2000.
DOI : 10.1016/0022-0396(92)90033-J

A. J. Brizard and T. S. , Hahm: Foundations of nonlinear gyrokinetic theory, Rev. Modern Phys, pp.421-468, 2007.

P. Degond, F. Deluzet, A. Sangam, and M. , Vignal: An Asymptotic Preserving Scheme for the Euler equations in a strong magnetic field, 2009.

A. M. Dimits, Comparisons and physics basis of tokamak transport models and turbulence simulations, Physics of Plasmas, vol.7, issue.3, pp.969-983, 2000.
DOI : 10.1063/1.873896

W. Dorland and G. W. Hammett, Gyrofluid turbulence models with kinetic effects, Physics of Fluids B: Plasma Physics, vol.5, issue.3, pp.812-835, 1993.
DOI : 10.1063/1.860934

G. L. Falchetto and M. Ottaviani, Effect of Collisional Zonal-Flow Damping on Flux-Driven Turbulent Transport, Physical Review Letters, vol.92, issue.2, p.25002, 2004.
DOI : 10.1103/PhysRevLett.92.025002

H. Federer, Geometric Measure Theory, 1996.
DOI : 10.1007/978-3-642-62010-2

E. Frénod and E. Sonnendrücker, Homogenization of the Vlasov equation and of the Vlasov-Poisson system with a strong external magnetic field, Asymptot. Anal, vol.18, pp.193-213, 1998.

E. Frénod and E. Sonnendrücker, LONG TIME BEHAVIOR OF THE TWO-DIMENSIONAL VLASOV EQUATION WITH A STRONG EXTERNAL MAGNETIC FIELD, Mathematical Models and Methods in Applied Sciences, vol.10, issue.04, pp.539-553, 2000.
DOI : 10.1142/S021820250000029X

E. Frénod, P. Raviart, and E. Sonnendrücker, Two-scale expansion of a singularly perturbed convection equation, Journal de Math??matiques Pures et Appliqu??es, vol.80, issue.8, pp.815-843, 2001.
DOI : 10.1016/S0021-7824(01)01215-6

X. Garbet, C. Bourdelle, G. T. Hoang, P. Maget, S. Benkadda et al., Global simulations of ion turbulence with magnetic shear reversal, Physics of Plasmas, vol.8, issue.6, pp.2793-2803, 2001.
DOI : 10.1063/1.1367320

F. Golse and L. Saint-raymond, The Vlasov???Poisson System with Strong Magnetic Field, Journal de Math??matiques Pures et Appliqu??es, vol.78, issue.8, pp.791-817, 1999.
DOI : 10.1016/S0021-7824(99)00021-5

V. Grandgirard, M. Brunetti, P. Bertrand, N. Besse, X. Garbet et al., A drift-kinetic Semi-Lagrangian 4D code for ion turbulence simulation, Journal of Computational Physics, vol.217, issue.2, pp.217-395, 2006.
DOI : 10.1016/j.jcp.2006.01.023

URL : https://hal.archives-ouvertes.fr/hal-00594856

G. W. Hammett, M. A. Beer, W. Dorland, S. C. Cowley, and S. A. Smith, Developments in the gyrofluid approach to Tokamak turbulence simulations, Plasma Physics and Controlled Fusion, vol.35, issue.8, pp.973-985, 1993.
DOI : 10.1088/0741-3335/35/8/006

R. D. Hazeltine and A. A. Ware, The drift kinetic equation for toroidal plasmas with large mass velocities, Plasma Physics, vol.20, issue.7, pp.673-678, 1978.
DOI : 10.1088/0032-1028/20/7/005

R. D. Hazeltine and J. D. , Meiss: Plasma Confinement, 2003.

Y. Idomura, S. Tokuda, and Y. Kishimoto, Global gyrokinetic simulation of ion temperature gradient driven turbulence in plasmas using a canonical Maxwellian distribution, Nuclear Fusion, vol.43, issue.4, pp.234-243, 2003.
DOI : 10.1088/0029-5515/43/4/303

C. C. Kim and S. E. Parker, Massively Parallel Three-Dimensional Toroidal Gyrokinetic Flux-Tube Turbulence Simulation, Journal of Computational Physics, vol.161, issue.2, pp.589-604, 2000.
DOI : 10.1006/jcph.2000.6518

W. W. Lee, Gyrokinetic approach in particle simulation, Physics of Fluids, vol.26, issue.2, pp.556-562, 1983.
DOI : 10.1063/1.864140

Z. Lin, T. S. Hahm, W. W. Lee, W. M. Tang, and R. B. White, Gyrokinetic simulations in general geometry and applications to collisional damping of zonal flows, Physics of Plasmas, vol.7, issue.5, pp.1857-1862, 2000.
DOI : 10.1063/1.874008

V. Naulin, Electromagnetic transport components and sheared flows in drift-Alfv??n turbulence, Physics of Plasmas, vol.10, issue.10, pp.4016-4028, 2003.
DOI : 10.1063/1.1605951

M. Ottaviani and G. Manfredi, The gyro-radius scaling of ion thermal transport from global numerical simulations of ion temperature gradient driven turbulence, Physics of Plasmas, vol.6, issue.8, pp.3267-3275, 1999.
DOI : 10.1063/1.873567

B. D. Scott, Free-energy conservation in local gyrofluid models, Physics of Plasmas, vol.12, issue.10, 2005.
DOI : 10.1063/1.2064968

H. Sugama, T. H. Watanabe, and W. Horton, Comparison between kinetic and fluid simulations of slab ion temperature gradient driven turbulence, Physics of Plasmas, vol.10, issue.3, pp.726-736, 2003.
DOI : 10.1063/1.1544664

T. M. Tran, K. Appert, M. Fivaz, G. Jost, J. Vaclavik et al., Global gyrokinetic simulation of Ion-Temperature-Gradient driven instabilities, Th, Proceedings of the International Workshop, Varenna, pp.45-49, 1998.

X. Q. Xu, R. H. Cohen, T. D. Rognlien, and J. R. Myra, Low-to-high confinement transition simulations in divertor geometry, Physics of Plasmas, vol.7, issue.5, pp.1951-1958, 2000.
DOI : 10.1063/1.874044