R. , Residual distribution schemes: current status and future trends, Computers & Fluids, vol.35, issue.7, pp.641-669, 2006.

R. , A residual distribution method using discontinuous elements for the computation of possibly non smooth flows, Adv. Appl. Math. Mech, vol.2, issue.1, pp.32-44, 2010.

R. , A review of residual distribution schemes for hyperbolic and parabolic problems: the July 2010 state of the art, Communications in Computational Physics, vol.11, issue.4, pp.1043-1080, 2012.

R. Abgrall, A. Larat, and M. Ricchiuto, Construction of very high order residual distribution schemes for steady inviscid flow problems on hybrid unstructured meshes, Journal of Computational Physics, vol.230, issue.11, pp.4103-4136, 2011.
URL : https://hal.archives-ouvertes.fr/inria-00464799

R. Abgrall, Q. Viville, H. Beaugendre, and C. Dobrzynski, Construction of a p-adaptive continuous residual distribution scheme, Journal of Scientific Computing, pp.1-37, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01466261

P. Anusonti-inthra and M. Floros, Coupled CFD and particle vortex transport method: Wing performance and wake validations, 38th AIAA Fluid Dynamics Conference and Exhibit, 2008.

K. Asthana and A. Jameson, High-order flux reconstruction schemes with minimal dispersion and dissipation, Journal of Scientific Computing, vol.62, issue.3, pp.913-944, 2015.

D. S. Balsara, S. Garain, and C. Shu, An efficient class of WENO schemes with adaptive order, Journal of Computational Physics, vol.326, pp.780-804, 2016.

D. S. Balsara and C. Shu, Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy, Journal of Computational Physics, vol.160, issue.2, pp.405-452, 2000.
URL : https://hal.archives-ouvertes.fr/hal-01634261

T. J. Barth, Recent developments in high order k-exact reconstruction on unstructured meshes, 31st AIAA Aerospace Sciences Meeting & Exhibit, AIAA Paper 93-0668, 1993.

T. J. Barth and P. O. Frederickson, Higher order solution of the Euler equations on unstructured grids using quadratic reconstruction, 28th AIAA Aerospace Sciences Meeting, 1990.

A. Bauknecht, B. Ewers, C. Wolf, F. Leopold, J. Yin et al., Three-dimensional reconstruction of helicopter blade-tip vortices using a multi-camera BOS system, Experiments in Fluids, vol.56, issue.1, p.1866, 2015.

J. Benek, J. Steger, and F. Dougherty, A flexible grid embedding technique with application to the Euler equations, Fluid Dynamics and Co-located Conferences, 1983.

C. Benoit and G. Jeanfaivre, Three-dimensional inviscid isolated rotor calculations using chimera and automatic cartesian partitioning methods, Journal, vol.48, issue.2, pp.128-138, 2003.

C. Benoit, S. Péron, and S. Landier, Cassiopee: a CFD pre-and post-processing tool, Aerospace Science and Technology, vol.45, pp.272-283, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01141585

M. J. Berger and P. Colella, Local adaptive mesh refinement for shock hydrodynamics, Journal of Computational Physics, vol.82, issue.1, pp.64-84, 1989.

M. J. Berger and A. Jameson, Automatic adaptive grid refinement for the euler equations, AIAA Journal, vol.23, issue.4, pp.561-568, 1985.

M. J. Berger and J. Oliger, Adaptive mesh refinement for hyperbolic partial differential equations, Journal of Computational Physics, vol.53, issue.3, pp.484-512, 1984.

M. Biava and L. Vigevano, Assessment of the vorticity confinement technique applied to rotorcraft flows, 21st AIAA Applied Aerodynamics Conference, 2003.

C. Bogey and C. Bailly, A family of low dispersive and low dissipative explicit schemes for flow and noise computations, Journal of Computational Physics, vol.194, issue.1, pp.194-214, 2004.

C. Bogey and C. Bailly, Turbulence and energy budget in a self-preserving round jet: direct evaluation using large eddy simulation, Journal of Fluid Mechanics, vol.627, pp.129-160, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00595271

C. Bogey, N. De-cacqueray, and C. Bailly, A shock-capturing methodology based on adaptative spatial filtering for high-order non-linear computations, Journal of Computational Physics, vol.228, issue.5, pp.1447-1465, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00461423

R. Borges, M. Carmona, B. Costa, and W. S. Don, An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws, Journal of Computational Physics, vol.227, issue.6, pp.3191-3211, 2008.

J. R. Bull and A. Jameson, Simulation of the Taylor-Green vortex using high-order flux reconstruction schemes, AIAA Journal, vol.53, issue.9, pp.2750-2761, 2015.

P. G. Buning and T. H. Pulliam, Cartesian off-body grid adaption for viscous time-accurate flow simulations, 20th AIAA Computational Fluid Dynamics Conference, 2011.

P. G. Buning and T. H. Pulliam, Near-body grid adaption for overset grids, 46th AIAA Fluid Dynamics Conference, pp.2016-3326, 2016.

N. Butsuntorn and A. Jameson, Time spectral method for rotorcraft flow, 46th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper 2008-0403. American Institute of Aeronautics and Astronautics, 2008.

D. Caraeni and L. Fuchs, Compact third-order multidimensional upwind discretization for steady and unsteady flow simulations, Computers & fluids, vol.34, issue.4, pp.419-441, 2005.

D. Caraeni and D. C. Hill, Efficient 3rd-order finite-volume discretization using iterative quadratic data reconstruction on unstructured grids, 47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition, 1332.

C. Carton-de-wiart, K. Hillewaert, M. Duponcheel, and G. Winckelmans, Assessment of a discontinuous Galerkin method for the simulation of vortical flows at high Reynolds number, International Journal for Numerical Methods in Fluids, vol.74, issue.7, pp.469-493, 2014.

N. M. Chaderjian, Advances in rotor performance and turbulent wake simulation using DES and adaptive mesh refinement, 7th International Conference on Computational Fluid Dynamics, 2012.

N. M. Chaderjian, Navier-Stokes simulation of UH-60A rotor/wake interaction using adaptive mesh refinement, Proceedings of the 73rd Annual Forum of the, 2017.

J. Chapelier, M. De-la-llave-plata, F. Renac, and E. Lamballais, Evaluation of a highorder discontinuous Galerkin method for the DNS of turbulent flows, Computers & Fluids, vol.95, pp.210-226, 2014.

P. Chatelain, A. Curioni, M. Bergdorf, D. Rossinelli, W. Andreoni et al., Billion vortex particle direct numerical simulations of aircraft wakes, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.13, pp.1296-1304, 2008.

A. J. Chorin, Numerical study of slightly viscous flow, Journal of Fluid Mechanics, vol.57, issue.4, pp.785-796, 1973.

P. Cinnella and C. Content, High-order implicit residual smoothing time scheme for direct and large eddy simulations of compressible flows, Journal of Computational Physics, vol.326, pp.1-29, 2016.

B. Cockburn, G. E. Karniadakis, and C. Shu, The development of discontinuous Galerkin methods, Discontinuous Galerkin Methods, pp.3-50, 2000.

P. Colella and P. R. Woodward, The piecewise parabolic method (PPM) for gas-dynamical simulations, Journal of Computational Physics, vol.54, issue.1, pp.174-201, 1984.

C. Corre, F. Falissard, and A. Lerat, High-order residual-based compact schemes for compressible inviscid flows, Computers & Fluids, vol.36, issue.10, pp.1567-1582, 2007.

C. Corre and A. Lerat, High-order residual-based compact schemes for advection-diffusion problems, Computers & Fluids, vol.37, issue.5, pp.505-519, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00357647

M. Costes, Étude de méthodes de confinement pour le calcul numérique des écoulements tourbillonnaires en compressible, 2006.

M. Costes, Analysis of the second vorticity confinement scheme, Aerospace Science and Technology, vol.12, issue.3, pp.203-213, 2008.

M. Costes, Development of a 3rd-order vorticity confinement scheme for rotor wakes simulations, 38th European Rotorcraft Forum, 2012.

M. Costes, Stability analysis of the VC2 confinement scheme for the linear transport equation, Computers & Fluids, vol.86, issue.0, pp.537-557, 2013.

M. Costes and F. Juillet, Analysis and higher-order extension of the VC2 confinement scheme, Computers & Fluids, vol.56, issue.0, pp.102-117, 2012.

M. Costes and G. Kowani, An automatic anti-diffusion method for vortical flows based on vorticity confinement, Aerospace Science and Technology, vol.7, issue.1, pp.11-21, 2003.

M. Costes, I. Petropoulos, and P. Cinnella, Development of a third-order accurate vorticity confinement scheme, Computers & Fluids, vol.136, pp.132-151, 2016.

M. Costes, T. Renaud, B. Rodriguez, and G. Reboul, Application of vorticity confinement to rotor wake simulations, Int. J. of Engineering Systems Modelling and Simulation, vol.4, issue.1, pp.102-112, 2012.

G. Cottet and P. D. Koumoutsakos, Vortex methods: theory and practice, 2000.

G. Cunha and S. Redonnet, On the effective accuracy of spectral-like optimized finitedifference schemes for computational aeroacoustics, Journal of Computational Physics, vol.263, pp.222-232, 2014.

J. Dacles-mariani, G. G. Zilliac, J. S. Chow, and P. Bradshaw, Numerical/experimental study of a wingtip vortex in the near field, AIAA Journal, vol.33, issue.9, pp.1561-1568, 1995.

A. Dadone, G. Hu, and B. Grossman, Towards a better understanding of vorticity confinement methods in compressible flow, 15th AIAA Computational Fluid Dynamics Conference, 2001.

V. Daru and X. Gloerfelt, Aeroacoustic computations using a high-order shock-capturing scheme, AIAA Journal, vol.45, issue.10, pp.2474-2486, 2007.

V. Daru and C. Tenaud, High order one-step monotonicity-preserving schemes for unsteady compressible flow calculations, Journal of Computational Physics, vol.193, issue.2, pp.563-594, 2004.

L. Davidson, Lecture Notes, Division of Fluid Dynamics, Department of Applied Mechanics, 2017.

M. De-la-llave-plata, V. Couaillier, M. Pape, C. Marmignon, and M. Gazaix, elsAHybrid: an all-in-one structured/unstructured solver for the simulation of internal and external flows. Application to turbomachinery, Progress in Propulsion Physics, vol.4, pp.417-444, 2013.

M. De-la-llave-plata, V. Couaillier, C. Marmignon, M. Pape, M. Gazaix et al., Cantaloube. Further developments in the multiblock hybrid CFD solver elsA-H, 50th AIAA Aerospace Sciences Meeting, 1112.

H. Deconinck and M. Ricchiuto, Residual distribution schemes: Foundations and analysis, Encyclopedia of Computational Mechanics, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00402592

P. Degond and S. Mas-gallic, The weighted particle method for convection-diffusion equations. I. the case of an isotropic viscosity, Mathematics of Computation, vol.53, issue.188, pp.485-507, 1989.

J. M. Délery, R. Legendre, and H. Werlé, Toward the elucidation of three-dimensional separation, Annual Review of Fluid Mechanics, vol.33, issue.1, pp.129-154, 2001.

B. Després and F. Lagoutière, Contact discontinuity capturing schemes for linear advection and compressible gas dynamics, Journal of Scientific Computing, vol.16, issue.4, pp.479-524, 2001.

J. Desse and F. Olchewsky, Digital holographic interferometry for analysing high-density gradients in fluid mechanics, Holographic Materials and Optical Systems, 2017.
DOI : 10.5772/66111

URL : http://www.intechopen.com/download/pdf/52907

X. Du, C. Corre, and A. Lerat, A third-order finite-volume residual-based scheme for the 2D Euler equations on unstructured grids, Journal of Computational Physics, vol.230, issue.11, pp.4201-4215, 2011.
DOI : 10.1016/j.jcp.2011.01.032

URL : https://hal.archives-ouvertes.fr/hal-00567293

F. Ducros, V. Ferrand, F. Nicoud, C. Weber, D. Darracq et al., Large-eddy simulation of the shock/turbulence interaction, Journal of Computational Physics, vol.152, issue.2, pp.517-549, 1999.
DOI : 10.1006/jcph.1999.6238

URL : https://hal.archives-ouvertes.fr/hal-00910343

E. P. Duque, C. P. Stone, C. C. Hennes, and A. Gharakhani, A hybrid vortex-particle method for rotorcraft applications, 30th AIAA Applied Aerodynamics Conference, p.2912, 2012.
DOI : 10.2514/6.2012-2912

J. R. Edwards and M. Liou, Low-diffusion flux-splitting methods for flows at all speeds, AIAA Journal, vol.36, issue.9, pp.1610-1617, 1998.
DOI : 10.2514/2.587

J. A. Ekaterinaris, High-order accurate, low numerical diffusion methods for aerodynamics, Progress in Aerospace Sciences, vol.41, issue.3, pp.192-300, 2005.
DOI : 10.1016/j.paerosci.2005.03.003

J. D. Eldredge, T. Colonius, and A. Leonard, A vortex particle method for two-dimensional compressible flow, Journal of Computational Physics, vol.179, issue.2, pp.371-399, 2002.
DOI : 10.1006/jcph.2002.7060

URL : http://www.seas.ucla.edu/sofia/EldColLeo_JCP02.pdf

F. Falissard, Schémas numériques préservant la vorticité en aérodynamique compressible, École Nationale Supérieure d'Arts et Métiers (ENSAM), 2006.

F. Falissard, Genuinely multi-dimensional explicit and implicit generalized shapiro filters for weather forecasting, computational fluid dynamics and aeroacoustics, Journal of Computational Physics, vol.253, pp.344-367, 2013.
DOI : 10.1016/j.jcp.2013.07.001

URL : https://doi.org/10.1016/j.jcp.2013.07.001

F. Falissard, Explicit filters with spectral-like accuracy: review of design criteria and latest developments, 23rd AIAA/CEAS Aeroacoustics Conference, 2017.
DOI : 10.2514/6.2017-4182

F. Falissard, A. Lerat, and J. Sidès, Computation of airfoil-vortex interaction using a vorticitypreserving scheme, AIAA Journal, vol.46, issue.7, pp.1614-1623, 2008.
DOI : 10.2514/1.33719

R. Fedkiw, J. Stam, and H. W. Jensen, Visual simulation of smoke, Proceedings of the 28th
DOI : 10.1145/383259.383260

URL : http://www-graphics.stanford.edu/~fedkiw/papers/stanford2001-01.pdf

, Annual Conference on Computer Graphics and Interactive Techniques, pp.15-22, 2001.

K. J. Fidkowski and P. L. Roe, An entropy adjoint approach to mesh refinement, SIAM Journal on Scientific Computing, vol.32, issue.3, pp.1261-1287, 2010.

U. S. Fjordholm and S. Mishra, Vorticity preserving finite volume schemes for the shallow water equations, SIAM Journal on Scientific Computing, vol.33, issue.2, pp.588-611, 2011.

P. Frey and F. Alauzet, Anisotropic mesh adaptation for CFD computations, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.48, pp.5068-5082, 2005.

E. Garnier, M. Mossi, P. Sagaut, P. Comte, and M. Deville, On the use of shock-capturing schemes for large-eddy simulation, Journal of Computational Physics, vol.153, issue.2, pp.273-311, 1999.

G. J. Gassner and A. D. Beck, On the accuracy of high-order discretizations for underresolved turbulence simulations, Theoretical and Computational Fluid Dynamics, pp.1-17, 2013.

G. Gerolymos, D. Sénéchal, and I. Vallet, Very-high-order WENO schemes, Journal of Computational Physics, vol.228, issue.23, pp.8481-8524, 2009.
DOI : 10.2514/6.2009-1612

S. K. Godunov, A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics, Russian: translated as JPRS 7226, vol.89, pp.271-306, 1959.

B. Govindarajan and J. Leishman, Curvature corrections to improve the accuracy of freevortex methods, Journal of Aircraft, vol.53, issue.2, pp.378-386, 2015.

L. Greengard and V. Rokhlin, A fast algorithm for particle simulations, Journal of Computational Physics, vol.73, issue.2, pp.325-348, 1987.

K. Grimich, P. Cinnella, and A. Lerat, Spectral properties of high-order residual-based compact schemes for unsteady compressible flows, Journal of Computational Physics, vol.252, pp.142-162, 2013.

K. Grimich, B. Michel, P. Cinnella, and A. Lerat, An accurate finite-volume formulation of a Residual-Based Compact scheme for unsteady compressible flows, Computers & Fluids, vol.92, pp.93-112, 2014.

J. Guermond, S. Huberson, and W. Shen, Simulation of 2D external viscous flows by means of a domain decomposition method, Journal of Computational Physics, vol.108, issue.2, pp.343-352, 1993.

S. Hahn and G. Iaccarino, Towards adaptive vorticity confinement, 47th AIAA Aerospace Sciences Meeting Including The New Horizons Forum and Aerospace Exposition, 2009.
DOI : 10.2514/6.2009-1613

F. Haider, Discrétisation en maillage non structuré général et applications LES, 2009.

G. Haller, An objective definition of a vortex, Journal of Fluid Mechanics, vol.525, pp.1-26, 2005.

R. Harris, Z. J. Wang, and Y. Liu, Efficient quadrature-free high-order spectral volume method on unstructured grids: Theory and 2D implementation, Journal of Computational Physics, vol.227, issue.3, pp.1620-1642, 2008.
DOI : 10.1016/j.jcp.2007.09.012

A. Harten, B. Engquist, S. Osher, and S. R. Chakravarthy, Uniformly high order accurate essentially non-oscillatory schemes, III. Journal of Computational Physics, vol.71, pp.231-303, 1987.
DOI : 10.1007/978-3-642-60543-7_12

A. K. Henrick, T. D. Aslam, and J. M. Powers, Mapped weighted essentially non-oscillatory schemes: achieving optimal order near critical points, Journal of Computational Physics, vol.207, issue.2, pp.542-567, 2005.
DOI : 10.1016/j.jcp.2005.01.023

W. D. Henshaw and D. W. Schwendeman, Parallel computation of three-dimensional flows using overlapping grids with adaptive mesh refinement, Journal of Computational Physics, vol.227, issue.16, pp.7469-7502, 2008.
DOI : 10.1016/j.jcp.2008.04.033

URL : https://digital.library.unt.edu/ark:/67531/metadc901714/m2/1/high_res_d/941385.pdf

C. Hirsch, Numerical Computation of Internal and External Flows: The Fundamentals of Computational Fluid Dynamics, 2007.

F. Q. Hu, M. Y. Hussaini, and J. L. Manthey, Low-dissipation and low-dispersion RungeKutta schemes for computational acoustics, Journal of Computational Physics, vol.124, issue.1, pp.177-191, 1996.
DOI : 10.1006/jcph.1996.0052

G. Hu and B. Grossman, The computation of massively separated flows using compressible vorticity confinement methods, Computers & fluids, vol.35, issue.7, pp.781-789, 2006.
DOI : 10.1016/j.compfluid.2006.03.001

G. Hu, B. Grossman, and J. Steinhoff, Numerical method for vorticity confinement in compressible flow, AIAA Journal, vol.40, issue.10, pp.1945-1953, 2002.
DOI : 10.2514/3.15282

M. Hubbard, Discontinuous fluctuation distribution, Journal of Computational Physics, vol.227, issue.24, pp.10125-10147, 2008.
DOI : 10.1016/j.jcp.2008.08.017

URL : https://hal.archives-ouvertes.fr/inria-00522477

J. C. Hunt, A. A. Wray, and P. Moin, Eddies, streams, and convergence zones in turbulent flows, CTR-Proceedings of the 1988 Summer Program, pp.193-208, 1988.

H. T. Huynh, A flux reconstruction approach to high-order schemes including discontinuous Galerkin methods, 18th AIAA Computational Fluid Dynamics Conference, pp.2007-4079, 2007.
DOI : 10.2514/6.2007-4079

H. T. Huynh, A reconstruction approach to high-order schemes including discontinuous Galerkin for diffusion, 47th AIAA Aerospace Sciences Meeting Including The New Horizons Forum and Aerospace Exposition, 2009.
DOI : 10.2514/6.2009-403

H. T. Huynh, Z. J. Wang, and P. E. Vincent, High-order methods for computational fluid dynamics: a brief review of compact differential formulations on unstructured grids, Computers & Fluids, vol.98, pp.209-220, 2014.

F. Ismail and P. Roe, Towards a vorticity preserving second order finite volume scheme solving the Euler equations, 17th AIAA Computational Fluid Dynamics Conference, 2005.
DOI : 10.2514/6.2005-5235

L. Ivan and C. P. Groth, High-order solution-adaptive central essentially non-oscillatory (CENO) method for viscous flows, Journal of Computational Physics, vol.257, pp.830-862, 2014.
DOI : 10.1016/j.jcp.2013.09.045

A. Jameson, W. Schmidt, and E. Turkel, Numerical solutions of the Euler equations by finite volume methods using Runge-Kutta time-stepping schemes, 14th AIAA Fluid and Plasma Dynamics Conference, 1981.

R. Jeltsch and M. Torrilhon, On curl-preserving finite volume discretizations for shallow water equations, BIT Numerical Mathematics, vol.46, issue.1, pp.35-53, 2006.
DOI : 10.1007/s10543-006-0089-5

URL : http://doc.rero.ch/record/310149/files/10543_2006_Article_89.pdf

J. Jeong and F. Hussain, On the identification of a vortex, Journal of Fluid Mechanics, vol.285, pp.69-94, 1995.

G. Jiang and C. Shu, Efficient implementation of weighted ENO schemes, Journal of Computational Physics, vol.126, issue.1, pp.202-228, 1996.
DOI : 10.1006/jcph.1996.0130

URL : http://historical.ncstrl.org/tr/pdf/icase/TR-95-73.pdf

S. Kamkar, A. M. Wissink, V. Sankaran, and A. Jameson, Feature-driven cartesian adaptive mesh refinement for vortex-dominated flows, Journal of Computational Physics, vol.230, issue.16, pp.6271-6298, 2011.
DOI : 10.1016/j.jcp.2011.04.024

J. W. Kim and D. J. Lee, Adaptive nonlinear artificial dissipation model for computational aeroacoustics, AIAA Journal, vol.39, issue.5, pp.810-818, 2001.
DOI : 10.2514/3.14806

C. Kitaplioglu, F. X. Caradonna, and C. L. Burley, Parallel blade-vortex interactions: an experimental study and comparison with computations, Journal, vol.42, issue.3, pp.272-281, 1997.
DOI : 10.4050/jahs.42.272

C. Kitaplioglu, F. X. Caradonna, and M. Mccluer, An experimental study of parallel bladevortex interaction aerodynamics and acoustics utilizing an independently generated vortex, 1999.

P. Koumoutsakos, Multiscale flow simulations using particles, Annu. Rev. Fluid Mech, vol.37, pp.457-487, 2005.
DOI : 10.1146/annurev.fluid.37.061903.175753

P. Koumoutsakos and A. Leonard, High-resolution simulations of the flow around an impulsively started cylinder using vortex methods, Journal of Fluid Mechanics, vol.296, pp.1-38, 1995.
DOI : 10.1017/s0022112095002059

URL : https://authors.library.caltech.edu/29349/1/KOUjfm95.pdf

N. Kroll, C. Hirsch, F. Bassi, C. Johnston, and K. Hillewaert, IDIHOM: Industrialization of High-Order Methods-A Top-Down Approach. Results of a Collaborative Research Project Funded by the European Union, Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol.128, 2010.

D. Küchemann, Report on the I.U.T.A.M. symposium on concentrated vortex motions in fluids, Journal of Fluid Mechanics, vol.21, issue.1, pp.1-20, 1965.

P. Lax and B. Wendroff, Systems of conservation laws, Communications on Pure and Applied Mathematics, vol.13, issue.2, pp.217-237, 1960.

J. Leishman, M. Bhagwat, and A. Bagai, Free-vortex filament methods for the analysis of helicopter rotor wakes, Journal of aircraft, vol.39, issue.5, pp.759-775, 2002.

S. K. Lele, Compact finite difference schemes with spectral-like resolution, Journal of Computational Physics, vol.103, issue.1, pp.16-42, 1992.

A. Leonard, Vortex methods for flow simulation, Journal of Computational Physics, vol.37, issue.3, pp.289-335, 1980.

A. Lerat, Steady discrete shocks of 5th and 7th-order RBC schemes and shock profiles of their equivalent differential equations, Journal of Computational Physics, vol.272, pp.629-643, 2014.

A. Lerat, A high-order time formulation of the RBC schemes for unsteady compressible Euler equations, Journal of Computational Physics, vol.303, pp.251-268, 2015.

A. Lerat, An efficient high-order compact scheme for the unsteady compressible Euler and Navier-Stokes equations, Journal of Computational Physics, vol.322, pp.365-386, 2016.

A. Lerat, P. Cinnella, B. Michel, and F. Falissard, High-order residual-based compact schemes for aerodynamics and aeroacoustics, Computers & Fluids, vol.61, pp.31-38, 2012.

A. Lerat and C. Corre, A residual-based compact scheme for the compressible Navier-Stokes equations, Journal of Computational Physics, vol.170, issue.2, pp.642-675, 2001.

A. Lerat and C. Corre, Residual-based compact schemes for multidimensional hyperbolic systems of conservation laws, Computers & Fluids, vol.31, issue.4, pp.639-661, 2002.

A. Lerat and C. Corre, High-order residual-based compact schemes on structured grids, CFD-Higher order discretization methods. VKI Lecture Series 2006-01. Von Karman Institute for Fluid Dynamics, 2005.

A. Lerat, F. Falissard, and J. Sidès, Vorticity-preserving schemes for the compressible Euler equations, Journal of Computational Physics, vol.225, issue.1, pp.635-651, 2007.

A. Lerat, K. Grimich, and P. Cinnella, On the design of high order residual-based dissipation for unsteady compressible flows, Journal of Computational Physics, vol.235, pp.32-51, 2013.

K. Lindsay and R. Krasny, A particle method and adaptive treecode for vortex sheet motion in three-dimensional flow, Journal of Computational Physics, vol.172, issue.2, pp.879-907, 2001.

M. Liou, A sequel to AUSM: AUSM+, Journal of Computational Physics, vol.129, issue.2, pp.364-382, 1996.

M. Liou and C. J. Steffen, A new flux splitting scheme, Journal of Computational Physics, vol.107, issue.1, pp.23-39, 1993.

X. Liu, S. Osher, and T. Chan, Weighted essentially non-oscillatory schemes, Journal of Computational Physics, vol.115, issue.1, pp.200-212, 1994.

Y. Liu, M. Vinokur, and Z. J. Wang, Spectral difference method for unstructured grids I: Basic formulation, Journal of Computational Physics, vol.216, issue.2, pp.780-801, 2006.

Y. Liu, M. Vinokur, and Z. J. Wang, Spectral (finite) volume method for conservation laws on unstructured grids V: Extension to three-dimensional systems, Journal of Computational Physics, vol.212, issue.2, pp.454-472, 2006.

R. Löhner, On limiters for minimal vorticity dissipation, 47th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exhibition, 2009.

R. Löhner, C. Yang, and R. Roger, Tracking vortices over large distances using vorticity confinement, 24th Symposium on Naval Hydrodynamics, 2002.

S. Markvorsen, The classical version of Stokes' theorem revisited, International Journal of Mathematical Education in Science and Technology, vol.39, issue.7, pp.879-888, 2008.

I. Mary and P. Sagaut, Large eddy simulation of flow around an airfoil near stall, AIAA Journal, vol.40, issue.6, pp.1139-1145, 2002.

I. Mary, P. Sagaut, and M. Deville, An algorithm for unsteady viscous flows at all speeds, International Journal for Numerical Methods in Fluids, vol.34, issue.5, pp.371-401, 2000.

B. Maugars, Méthodes de volumes finis d'ordre élevé en maillages non coïncident pour les écoulements dans les turbomachines, Arts et Métiers ParisTech, 2016.

D. J. Mavriplis, Revisiting the least-squares procedure for gradient reconstruction on unstructured meshes, 2003.

B. Michel, P. Cinnella, and A. Lerat, Multiblock residual-based compact schemes for the computation of complex turbomachinery flows, International Journal of Engineering Systems Modelling and Simulation, vol.3, issue.1-2, pp.2-15, 2011.

S. Mishra and E. Tadmor, Constraint preserving schemes using potential-based fluxes. II. Genuinely multidimensional systems of conservation laws, SIAM Journal on Numerical Analysis, vol.49, issue.3, pp.1023-1045, 2011.
DOI : 10.4208/cicp.030909.091109s

S. Mishra and E. Tadmor, Constraint preserving schemes using potential-based fluxes. III. Genuinely multi-dimensional schemes for MHD equations, ESAIM: Mathematical Modelling and Numerical Analysis, vol.46, issue.3, pp.661-680, 2012.

K. Mohamed, S. Nadarajah, and M. Paraschivoiu, Eddy-preserving limiter for unsteady subsonic flows, AIAA Journal, vol.50, issue.2, pp.429-446, 2012.
DOI : 10.2514/1.j051200

J. J. Monaghan, Smoothed particle hydrodynamics, Reports on Progress in Physics, vol.68, issue.8, p.1703, 2005.

J. J. Monaghan, Smoothed particle hydrodynamics and its diverse applications, Annual Review of Fluid Mechanics, vol.44, issue.1, pp.323-346, 2012.
DOI : 10.1146/annurev-fluid-120710-101220

K. Morton and P. L. Roe, Vorticity-preserving Lax-Wendroff-type schemes for the system wave equation, SIAM Journal on Scientific Computing, vol.23, issue.1, pp.170-192, 2001.
DOI : 10.1137/s106482759935914x

R. Morvant, K. J. Badcock, G. N. Barakos, and B. E. Richards, Airfoil-vortex interaction using the compressible vorticity confinement method, AIAA Journal, vol.43, issue.1, pp.63-75, 2005.
DOI : 10.2514/1.5177

M. Murayama, K. Nakahashi, and S. Obayashi, Numerical simulation of vortical flows using vorticity confinement coupled with unstructured grid, 39th AIAA Aerospace Sciences Meeting & Exhibit, AIAA Paper 2001-0606, 2001.

R. Ni, A multiple-grid scheme for solving the Euler equations, AIAA Journal, vol.20, issue.11, pp.1565-1571, 1982.

M. Nitsche and J. H. Strickland, Extension of the gridless vortex method into the compressible flow regime*, Journal of Turbulence, vol.3, pp.40-40, 2002.

C. Ollivier-gooch and M. Van-altena, A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation, Journal of Computational Physics, vol.181, issue.2, pp.729-752, 2002.

P. Outtier, C. Content, P. Cinnella, and B. Michel, The high-order dynamic computational laboratory for CFD research and applications, Fluid Dynamics and Co-located Conferences, 2013.

G. S. Oxley, A 2-D Hybrid Euler-Compressible Vortex Particle Method For Transonic Rotorcraft Flows, 2009.
DOI : 10.22215/etd/2009-06532

URL : https://curve.carleton.ca/system/files/etd/aa63375f-cd86-464c-96e5-8c5a97e3ea9f/etd_pdf/26f53488434f3a08cf45febd24b8505e/oxley-a2dhybrideulercompressiblevortexparticlemethod.pdf

G. Papadakis, Development of a hybrid compressible vortex particle method and application to external problems including helicopter flows, 2014.

G. Papadakis and S. G. Voutsinas, In view of accelerating CFD simulations through coupling with vortex particle approximations, Journal of Physics: Conference Series, vol.524, p.12126, 2014.

S. Peron and C. Benoit, Automatic off-body overset adaptive Cartesian mesh method based on an octree approach, Journal of Computational Physics, vol.232, issue.1, pp.153-173, 2013.

S. Peron, C. Benoit, T. Renaud, J. Sidès, Y. Tanabe et al., ONERA/JAXA common investigations on CFD tools for an accurate prediction of BVI, AHS Specialists Meeting, 2007.

S. Pirozzoli, On the spectral properties of shock-capturing schemes, Journal of Computational Physics, vol.219, issue.2, pp.489-497, 2006.

P. Ploumhans, G. Winckelmans, J. Salmon, A. Leonard, and M. Warren, Vortex methods for direct numerical simulation of three-dimensional bluff body flows: Application to the sphere at Re=300, 500, and 1000, Journal of Computational Physics, vol.178, issue.2, pp.427-463, 2002.

G. Pont, P. Brenner, P. Cinnella, B. Maugars, and J. Robinet, Multiple-correction hybrid k-exact schemes for high-order compressible RANS-LES simulations on fully unstructured grids, Journal of Computational Physics, vol.350, pp.45-83, 2017.

W. H. Reed and T. R. Hill, Triangular mesh methods for the neutron transport equation, 1973.

N. Renard and S. Deck, Improvements in Zonal Detached Eddy Simulation for Wall Modeled Large Eddy Simulation, AIAA Journal, vol.53, pp.3499-3504, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01232564

A. Rezgui, P. Cinnella, and A. Lerat, Third-order accurate finite volume schemes for Euler computations on curvilinear meshes, Computers & Fluids, vol.30, issue.7-8, pp.875-901, 2001.

M. Ricchiuto, Contributions to the development of residual discretizations for hyperbolic conservation laws with application to shallow water flows, Habilitation à Diriger des Recherches (HDR), 2011.
URL : https://hal.archives-ouvertes.fr/tel-00651688

M. A. Robinson, Application of vorticity confinement to inviscid missile force and moment prediction, 42nd AIAA Aerospace Sciences Meeting and Exhibit, 2004.

S. K. Robinson, Coherent motions in the turbulent boundary layer, Annual Review of Fluid Mechanics, vol.23, issue.1, pp.601-639, 1991.

P. L. Roe, Approximate Riemann solvers, parameter vectors, and difference schemes, Journal of Computational Physics, vol.43, issue.2, pp.357-372, 1981.

P. L. Roe, Vorticity capturing, 15th AIAA Computational Fluid Dynamics Conference, 2001.

P. L. Roe, Optimum" upwind advection on a triangular mesh, 1990.

J. Romero, K. Asthana, and A. Jameson, A simplified formulation of the flux reconstruction method, Journal of Scientific Computing, vol.67, issue.1, pp.351-374, 2016.

M. Sadri, K. Hejranfar, and M. Ebrahimi, On application of high-order compact finitedifference schemes to compressible vorticity confinement method, Aerospace Science and Technology, vol.46, pp.398-411, 2015.

P. Sagaut and C. Cambon, Homogeneous Turbulence Dynamics, 2008.
URL : https://hal.archives-ouvertes.fr/hal-01706709

P. Sagaut, S. Deck, and M. Terracol, Multiscale and Multiresolution Approaches in Turbulence, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01313533

R. Samtaney, D. I. Pullin, and B. Kosovi?, Direct numerical simulation of decaying compressible turbulence and shocklet statistics, Physics of Fluids, vol.13, issue.5, pp.1415-1430, 2001.

V. Sankaran, A. Wissink, A. Datta, J. Sitaraman, M. Potsdam et al., Overview of the Helios version 2.0 computational platform for rotorcraft simulations, Aerospace Sciences Meetings, 2011.

O. Saunier, Méthode d'adaptation de maillages cartésiens basée sur des schémas d'ordre élevé pour les équations d'Euler d'un fluide compressible. Application aux pales de rotor d'hélicoptére, 2008.

O. Saunier, C. Benoit, G. Jeanfaivre, and A. Lerat, Third-order cartesian overset mesh adaptation method for solving steady compressible flows, International Journal for Numerical Methods in Fluids, vol.57, issue.7, pp.811-838, 2008.

I. Sbalzarini, J. Walther, M. Bergdorf, S. Hieber, E. Kotsalis et al., PPM-A highly efficient parallel particle-mesh library for the simulation of continuum systems, Journal of Computational Physics, vol.215, issue.2, pp.566-588, 2006.

L. Sciacovelli, P. Cinnella, and F. Grasso, Dense gas effects in inviscid homogeneous isotropic turbulence, Journal of Fluid Mechanics, vol.800, pp.140-179, 2016.

M. P. Scully, Computation of helicopter rotor wake geometry and its influence on rotor harmonic airloads, 1975.

S. E. Sherer and J. N. Scott, High-order compact finite-difference methods on general overset grids, Journal of Computational Physics, vol.210, issue.2, pp.459-496, 2005.

E. Shima, K. Kitamura, and T. Haga, Green-Gauss/weighted-least-squares hybrid gradient reconstruction for arbitrary polyhedra unstructured grids, AIAA Journal, vol.51, issue.11, pp.2740-2747, 2013.

C. Shu, High order weighted essentially nonoscillatory schemes for convection dominated problems, SIAM review, vol.51, issue.1, pp.82-126, 2009.

C. Shu, Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws, 1997.

J. Slotnick, A. Khodadoust, J. Alonso, D. Darmofal, W. Gropp et al., CFD vision 2030 study: A path to revolutionary computational aerosciences, 2014.

P. R. Spalart and M. L. Shur, On the sensitization of turbulence models to rotation and curvature, Aerospace Science and Technology, vol.1, issue.5, pp.297-302, 1997.

J. Steinhoff, Vorticity confinement: A new technique for computing vortex dominated flows, Frontiers of Computational Fluid Dynamics, pp.235-264, 1994.

J. Steinhoff and S. Chitta, Long distance wave computation using nonlinear solitary waves, Journal of Computational and Applied Mathematics, vol.234, issue.6, pp.1826-1833, 2010.

J. Steinhoff and S. Chitta, Solution of the scalar wave equation over very long distances using nonlinear solitary waves: Relation to finite difference methods, Journal of Computational Physics, vol.231, issue.19, pp.6306-6322, 2012.

J. Steinhoff, W. Dietz, S. Haas, M. Xiao, N. Lynn et al., Simulating small scale features in fluid dynamics and acoustics as nonlinear solitary waves, 41st AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper 2003-078, 2003.

J. Steinhoff, M. Fan, L. Wang, and W. Dietz, Convection of concentrated vortices and passive scalars as solitary waves, Journal of Scientific Computing, vol.19, issue.1, pp.457-478, 2003.

J. Steinhoff and N. Lynn, Treatment of vortical flow using vorticity confinement, Frontiers of Computational Fluid Dynamics, pp.199-237, 2006.

J. Steinhoff, N. Lynn, and L. Wang, Vorticity confinement, Implicit Large Eddy Simulation: Computing Turbulent Flow Dynamics, pp.168-194, 2007.

J. Steinhoff, N. Lynn, Y. Wenren, M. Fan, L. Wang et al., Turbulent flow simulations using vorticity confinement, Implicit Large Eddy Simulation: Computing Turbulent Flow Dynamics, pp.370-391, 2007.

J. Steinhoff, E. Puskas, S. Babu, Y. Wenren, and D. Underhill, Computation of thin features over long distances using solitary waves, 13th AIAA Computational Fluid Dynamics Conference, AIAA Paper, pp.97-1976, 1997.

J. Steinhoff and D. Underhill, Modification of the Euler equations for "vorticity confinement": Application to the computation of interacting vortex rings, Physics of Fluids, vol.6, issue.8, pp.2738-2744, 1994.

J. Steinhoff, Y. Wenren, T. Mersch, and H. Senge, Computational vorticity capturing: Application to helicopter rotor flow, 30th AIAA Aerospace Sciences Meeting and Exhibit, 1992.

C. Stone, E. Duque, C. Hennes, and A. Gharakhani, Rotor wake modeling with a coupled Eulerian and vortex particle method, 48th AIAA Aerospace Sciences Meeting, 2010.

X. Su, Accurate and robust adaptive mesh refinement for aerodynamic simulation with multiblock structured curvilinear mesh, International Journal for Numerical Methods in Fluids, vol.77, issue.12, pp.747-766, 2015.

Y. Sun, Z. J. Wang, and Y. Liu, Spectral (finite) volume method for conservation laws on unstructured grids VI: Extension to viscous flow, Journal of Computational Physics, vol.215, issue.1, pp.41-58, 2006.

C. K. Tam and J. C. Webb, Dispersion-relation-preserving finite difference schemes for computational acoustics, Journal of Computational Physics, vol.107, issue.2, pp.262-281, 1993.

G. I. Taylor and A. E. Green, Mechanism of the production of small eddies from large ones, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.158, issue.895, pp.499-521, 1937.

M. Torrilhon and M. Fey, Constraint-preserving upwind methods for multidimensional advection equations, SIAM Journal on Numerical Analysis, vol.42, issue.4, pp.1694-1728, 2004.

A. Travin, M. Shur, M. Strelets, and P. R. Spalart, Physical and numerical upgrades in the detached-eddy simulation of complex turbulent flows, Advances in LES of Complex Flows: Proceedings of the Euromech Colloquium, vol.412, pp.239-254, 2000.

S. Van-der-walt, S. C. Colbert, and G. Varoquaux, The NumPy array: a structure for efficient numerical computation, Computing in Science & Engineering, vol.13, issue.2, pp.22-30, 2011.
URL : https://hal.archives-ouvertes.fr/inria-00564007

B. 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.

W. M. Van-rees, A. Leonard, D. Pullin, and P. Koumoutsakos, A comparison of vortex and pseudo-spectral methods for the simulation of periodic vortical flows at high reynolds numbers, Journal of Computational Physics, vol.230, issue.8, pp.2794-2805, 2011.

D. A. Venditti and D. L. , Grid adaptation for functional outputs: Application to two-dimensional inviscid flows, Journal of Computational Physics, vol.176, issue.1, pp.40-69, 2002.

R. Vichnevetsky and J. Bowles, Fourier Analysis of Numerical Approximations of Hyperbolic Equations, Society for Industrial and Applied Mathematics, 1982.

P. E. Vincent, P. Castonguay, and A. Jameson, A new class of high-order energy stable flux reconstruction schemes, Journal of Scientific Computing, vol.47, issue.1, pp.50-72, 2011.

M. Visbal and D. Gaitonde, On the use of higher-order finite-difference schemes on curvilinear and deforming meshes, Journal of Computational Physics, vol.181, issue.1, pp.155-185, 2002.

M. R. Visbal and D. P. Rizzetta, Large-eddy simulation on curvilinear grids using compact differencing and filtering schemes, ASME. J. Fluids Eng, vol.124, pp.836-847, 2002.

J. , V. Neumann, and R. D. Richtmyer, A method for the numerical calculation of hydrodynamic shocks, Journal of Applied Physics, vol.21, issue.3, pp.232-237, 1950.

S. G. Voutsinas, Vortex methods in aeronautics: how to make things work, International Journal of Computational Fluid Dynamics, vol.20, issue.1, pp.3-18, 2006.

Z. Wang, Y. Liu, G. May, and A. Jameson, Spectral difference method for unstructured grids II: extension to the Euler equations, Journal of Scientific Computing, vol.32, issue.1, pp.45-71, 2007.

Z. J. Wang, Spectral (finite) volume method for conservation laws on unstructured grids: Basic formulation, Journal of Computational Physics, vol.178, issue.1, pp.210-251, 2002.

Z. J. Wang, High-order methods for the Euler and Navier-Stokes equations on unstructured grids, Progress in Aerospace Sciences, vol.43, issue.1, pp.1-41, 2007.

Z. J. Wang, K. Fidkowski, R. Abgrall, F. Bassi, D. Caraeni et al., High-order CFD methods: current status and perspective, International Journal for Numerical Methods in Fluids, vol.72, issue.8, pp.811-845, 2013.

Z. J. Wang, Y. Liu, C. Lacor, and J. L. Azevedo, Spectral volume and spectral difference methods. Handbook of Numerical Analysis, vol.17, pp.199-226, 2016.

R. F. Warming and R. M. Beam, Upwind second-order difference schemes and applications in aerodynamic flows, AIAA Journal, vol.14, issue.9, pp.1241-1249, 1976.

Y. Wenren, M. Fan, W. Dietz, G. Hu, C. Braun et al., Efficient Eulerian computation of realistic rotorcraft flows using vorticity confinement-A survey of recent results, 39th AIAA Aerospace Sciences Meeting and Exhibit, 2001.

Y. Wenren, M. Fan, L. Wang, M. Xiao, and J. Steinhoff, Application of vorticity confinement to prediction of the flow over complex bodies, AIAA Journal, vol.41, issue.5, pp.809-816, 2003.

H. Werlé, Courants et Couleurs. ONERA Cinema Film, issue.777, 1974.

G. Winckelmans, R. Cocle, L. Dufresne, and R. Capart, Vortex methods and their application to trailing wake vortex simulations, Comptes Rendus Physique, vol.6, issue.4-5, pp.467-486, 2005.

A. Wissink, M. Potsdam, V. Sankaran, J. Sitaraman, Z. Yang et al., A coupled unstructured-adaptive Cartesian CFD approach for hover prediction, 66th Annual Forum of the, pp.1300-1317, 2010.

A. M. Wissink, J. Sitaraman, V. Sankaran, D. Mavriplis, and T. H. Pulliam, A multicode python-based infrastructure for overset CFD with adaptive cartesian grids, 46th AIAA Aerospace Sciences Meeting and Exhibit, 2008.

F. D. Witherden, A. M. Farrington, and P. E. Vincent, PyFR: An open source framework for solving advection-diffusion type problems on streaming architectures using the flux reconstruction approach, Computer Physics Communications, vol.185, issue.11, pp.3028-3040, 2014.

Z. Wu, Steady and unsteady shock waves on overlapping grids, SIAM Journal on Scientific Computing, vol.20, issue.5, pp.1851-1874, 1999.

Z. Xu and C. Shu, Anti-diffusive flux corrections for high order finite difference WENO schemes, Journal of Computational Physics, vol.205, issue.2, pp.458-485, 2005.

H. Yang, Z. Chen, A. Przekwas, and J. Dudley, A high-order CFD method using successive differentiation, Journal of Computational Physics, vol.281, pp.690-707, 2015.

H. Yang, D. Nuernberger, and H. Kersken, Toward excellence in turbomachinery computational fluid dynamics: A hybrid structured-unstructured Reynolds-Averaged Navier-Stokes solver, Journal of Turbomachinery, vol.128, issue.2, pp.390-402, 2006.

H. C. Yee, M. Vinokur, and M. J. Djomehri, ONERA-The French Aerospace Lab Centre de Meudon 8 rue des Vertugadins, Journal of Computational Physics, vol.162, issue.1, pp.33-81, 2000.