R. Abgrall and T. Barth, Residual Distribution Schemes for Conservation Laws via Adaptive Quadrature, SIAM Journal on Scientific Computing, vol.24, issue.3, pp.732-769, 2003.
DOI : 10.1137/S106482750138592X

R. Abgrall, H. Beaugendre, and C. Dobrzynski, An immersed boundary method using unstructured anisotropic mesh adaptation combined with level-sets and penalization techniques, Journal of Computational Physics, vol.257, pp.83-101, 2014.
DOI : 10.1016/j.jcp.2013.08.052
URL : https://hal.archives-ouvertes.fr/hal-00786853

R. Abgrall and D. Santis, Linear and non-linear high order accurate residual distribution schemes for the discretization of the steady compressible Navier???Stokes equations, Journal of Computational Physics, vol.283, pp.329-359, 2015.
DOI : 10.1016/j.jcp.2014.11.031

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.
DOI : 10.1016/j.jcp.2010.07.035
URL : https://hal.archives-ouvertes.fr/inria-00464799

R. Abgrall, A. Larat, M. Ricchiuto, and C. Tavé, A simple construction of very high order non-oscillatory compact schemes on unstructured meshes, Computers & Fluids, vol.38, issue.7, pp.1314-1323, 2009.
DOI : 10.1016/j.compfluid.2008.01.031
URL : https://hal.archives-ouvertes.fr/inria-00333756

R. Abgrall and P. L. Roe, High order fluctuation schemes on triangular meshes, Journal of Scientific Computing, vol.19, issue.1/3, pp.3-36, 2003.
DOI : 10.1023/A:1025335421202

R. Abgrall and J. Trefilik, An Example of High Order Residual Distribution Scheme Using non-Lagrange Elements, Journal of Scientific Computing, vol.59, issue.7, pp.3-25, 2010.
DOI : 10.1007/s10915-010-9405-y
URL : https://hal.archives-ouvertes.fr/inria-00403691

R. Abgrall, Q. Viville, H. Beaugendre, and C. Dobrzynski, p-adaptation using Residual Distribution schemes with continuous finite elements, Inria Bordeaux Sud-Ouest, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01225583

B. R. Ahrabi, An hp-adaptive Petrov-Galerkin method for steady-state and unsteady flow problems. PhD, 2015.

B. R. Ahrabi, W. K. Anderson, and J. C. Newman, High-order finiteelement method and dynamic adaptation for two-dimensional laminar and turbulent Navier-Stokes, 2014.

B. R. Ahrabi, W. K. Anderson, and J. C. Newman, An adjoint-based hpadaptive Petrov-Galerkin method for turbulent flows, 2015.

J. D. Anderson, Computational fluid dynamics: the basics with applications, 1995.

P. Angot, C. H. Bruneau, and P. Fabrie, A penalization method to take into account obstacles in incompressible viscous flows, Numerische Mathematik, vol.81, issue.4, pp.497-520, 1999.
DOI : 10.1007/s002110050401

I. Babu?ka and M. Suri, The p- and h-p versions of the finite element method, an overview, Computer Methods in Applied Mechanics and Engineering, vol.80, issue.1-3, pp.5-26, 1990.
DOI : 10.1016/0045-7825(90)90011-A

I. Babu?ka and B. Q. Guo, The h, p and h-p version of the finite element method; basis theory and applications, Advances in Engineering Software, vol.15, issue.3-4, pp.3-4159, 1992.
DOI : 10.1016/0965-9978(92)90097-Y

H. Beaugendre, L. Nouveau, C. Dobrzynski, R. Abgrall, and M. Ricchiuto, Unsteady residual distribution schemes adapted to immersed boundary methods on unstructured grids to account for moving bodies, 13th US National Congress on Computational Mechanics, p.2015
URL : https://hal.archives-ouvertes.fr/hal-01257678

O. Boiron, G. Chiavassa, and R. Donat, A high-resolution penalization method for large mach number flows in the presence of obstacles. Computers and fluids, pp.703-714, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00259907

A. N. Brooks and T. Hughes, Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineering, vol.32, issue.1-3, pp.199-259, 1982.
DOI : 10.1016/0045-7825(82)90071-8

A. Burbeau, P. Sagaut, and C. Bruneau, A Problem-Independent Limiter for High-Order Runge???Kutta Discontinuous Galerkin Methods, Journal of Computational Physics, vol.169, issue.1, pp.111-150, 2001.
DOI : 10.1006/jcph.2001.6718

A. Cangiani, J. Chapman, E. H. Georgoulis, and M. Jensen, Implementation of the Continuous-Discontinuous Galerkin Finite Element Method, Numerical Mathematics and Advanced Applications, p.315, 2011.
DOI : 10.1007/978-3-642-33134-3_34

J. Cheng and C. W. Shu, High order schemes for cfd: A review, Chinese Journal of Computational Physics, vol.5, p.2, 2009.

B. Cockburn, S. Lin, and C. W. Shu, TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One-dimensional systems, Journal of Computational Physics, vol.84, issue.1, pp.90-113, 1989.
DOI : 10.1016/0021-9991(89)90183-6

C. Dapogny and P. Frey, Computation of the signed distance function to a discrete contour on adapted triangulation, Calcolo, vol.74, issue.3, pp.193-219, 2012.
DOI : 10.1007/s10092-011-0051-z

E. F. Azevedo and R. B. Simpson, On optimal triangular meshes for minimizing the gradient error, Numerische Mathematik, vol.16, issue.1, pp.321-348, 1991.
DOI : 10.1007/BF01385784

D. and D. Santis, Development of a high-order Residual Distribution method for Navier-Stokes and RANS equations, 2013.
URL : https://hal.archives-ouvertes.fr/tel-00946171

H. Deconinck, H. Paillere, R. Struijs, and P. L. Roe, Multidimensional upwind schemes based on fluctuation-splitting for systems of conservation laws, Computational Mechanics, vol.63, issue.No. 2, pp.323-340, 1993.
DOI : 10.1007/BF00350091

H. Deconinck, R. Struijs, G. Bourgois, and P. L. Roe, Compact advection schemes on unstructured grids. Computational Fluid Dynamics, VKI LS 1993-04, pp.94-18557, 1993.

L. Demkowicz, Computing with hp-ADAPTIVE FINITE ELEMENTS: Volume 1 One and Two Dimensional Elliptic and Maxwell problems, 2006.
DOI : 10.1201/9781420011685

D. A. Di-pietro and A. Ern, Mathematical aspects of discontinuous Galerkin methods, 2011.
DOI : 10.1007/978-3-642-22980-0

J. Donea and A. Huerta, Finite element methods for flow problems, 2003.
DOI : 10.1002/0470013826

V. Ducrot and P. J. Frey, Contr??le de l'approximation g??om??trique d'une interface par une m??trique anisotrope, Comptes Rendus Mathematique, vol.345, issue.9, pp.537-542, 2007.
DOI : 10.1016/j.crma.2007.10.008

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

J. T. Erwin, W. K. Anderson, L. Wang, and S. Kapadia, High-order finiteelement method for three-dimensional turbulent Navier-Stokes, 2013.

C. Farhat, P. Geuzaine, and C. Grandmont, The Discrete Geometric Conservation Law and the Nonlinear Stability of ALE Schemes for the Solution of Flow Problems on Moving Grids, Journal of Computational Physics, vol.174, issue.2, pp.669-694, 2001.
DOI : 10.1006/jcph.2001.6932

R. P. Fedkiw, Coupling an Eulerian Fluid Calculation to a Lagrangian Solid Calculation with the Ghost Fluid Method, Journal of Computational Physics, vol.175, issue.1, pp.200-224, 2002.
DOI : 10.1006/jcph.2001.6935

L. P. Franca and S. L. Frey, Stabilized finite element methods: II. The incompressible Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineering, vol.99, issue.2-3, pp.209-233, 1992.
DOI : 10.1016/0045-7825(92)90041-H

P. J. Frey and F. Alauzet, Anisotropic mesh adaptation for CFD computations, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.48-49, pp.5068-5082, 2005.
DOI : 10.1016/j.cma.2004.11.025

P. J. Frey and P. L. George, Mesh generation: application to finite elements , hermes science, Europe, 2000.
DOI : 10.1002/9780470611166

G. Gassner, F. Lörcher, and C. D. Munz, A contribution to the construction of diffusion fluxes for finite volume and discontinuous Galerkin schemes, Journal of Computational Physics, vol.224, issue.2, pp.1049-1063, 2007.
DOI : 10.1016/j.jcp.2006.11.004

R. Ghias, R. Mittal, and H. Dong, A sharp interface immersed boundary method for compressible viscous flows, Journal of Computational Physics, vol.225, issue.1, pp.528-553, 2007.
DOI : 10.1016/j.jcp.2006.12.007

A. Gilmanov and F. Sotiropoulos, A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies, Journal of Computational Physics, vol.207, issue.2, pp.457-492, 2005.
DOI : 10.1016/j.jcp.2005.01.020

A. Guardone, D. Isola, and G. Quaranta, Arbitrary Lagrangian Eulerian formulation for two-dimensional flows using dynamic meshes with edge swapping, Journal of Computational Physics, vol.230, issue.20, pp.7706-7722, 2011.
DOI : 10.1016/j.jcp.2011.06.026

R. Hartmann, Adaptive discontinuous Galerkin methods with shockcapturing for the compressible Navier-Stokes equations, International Journal for Numerical Methods in Fluids, vol.51, pp.9-101131, 2006.

R. Hartmann, Discontinuous Galerkin methods for compressible flows: higher order accuracy, error estimation and adaptivity. Lecture Series - Von Karman Institute for Fluid Dynamics, 2006.

R. Hartmann and P. Houston, Adaptive Discontinuous Galerkin Finite Element Methods for the Compressible Euler Equations, Journal of Computational Physics, vol.183, issue.2, pp.508-532, 2002.
DOI : 10.1006/jcph.2002.7206

X. Y. Hu, B. C. Khoo, N. A. Adams, and F. L. Huang, A conservative interface method for compressible flows, Journal of Computational Physics, vol.219, issue.2, pp.553-578, 2006.
DOI : 10.1016/j.jcp.2006.04.001

T. Hughes, G. Scovazzi, and T. E. Tezduyar, Stabilized Methods for Compressible Flows, Journal of Scientific Computing, vol.190, issue.10, pp.343-368, 2010.
DOI : 10.1007/s10915-008-9233-5

T. Hughes and T. E. Tezduyar, Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible euler equations, Computer Methods in Applied Mechanics and Engineering, vol.45, issue.1-3, pp.217-284, 1984.
DOI : 10.1016/0045-7825(84)90157-9

S. M. Kast and K. J. Fidkowski, Output-based mesh adaptation for high order Navier???Stokes simulations on deformable domains, Journal of Computational Physics, vol.252, pp.468-494, 2013.
DOI : 10.1016/j.jcp.2013.06.007

B. Kirk and T. Oliver, Validation of SUPG Finite Element Simulations of Shockwave/Turbulent Boundary Layer Interactions in Hypersonic Flows, 51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition
DOI : 10.2514/6.2013-306

B. S. Kirk and G. F. Carey, Development and validation of a SUPG finite element scheme for the compressible Navier???Stokes equations using a modified inviscid flux discretization, International Journal for Numerical Methods in Fluids, vol.3, issue.3, pp.265-293, 2008.
DOI : 10.1002/fld.1635

A. Larat, Conception et analyse de schémas distribuant le résidu d'ordre très élevé. Application à la mécanique des fluides, 2009.

C. Lepage and W. Habashi, Fluid-structure interactions using the ALE formulation AIAA paper 1999-0660, 1999.

C. Lepage and W. Habashi, Conservative interpolation of aerodynamic loads for aeroelastic computations, 41st Structures, Structural Dynamics, and Materials Conference and Exhibit, 1449.
DOI : 10.2514/6.2000-1449

R. Löhner, J. D. Baum, E. Mestreau, D. Sharov, C. Charman et al., Adaptive embedded unstructured grid methods, International Journal for Numerical Methods in Engineering, vol.60, issue.3, pp.641-660, 2004.
DOI : 10.1002/nme.978

A. Mark and B. G. Van-wachem, Derivation and validation of a novel implicit second-order accurate immersed boundary method, Journal of Computational Physics, vol.227, issue.13, pp.6660-6680, 2008.
DOI : 10.1016/j.jcp.2008.03.031

W. F. Mitchell and M. A. Mcclain, A comparison of hp-adaptive strategies for elliptic partial differential equations, ACM Transactions on Mathematical Software (TOMS), vol.41, issue.12, 2014.

R. Mittal and G. Iaccarino, IMMERSED BOUNDARY METHODS, Annual Review of Fluid Mechanics, vol.37, issue.1, pp.239-261, 2005.
DOI : 10.1146/annurev.fluid.37.061903.175743

R. Mittal, V. Seshadri, and H. S. Udaykumar, Flutter, tumble and vortex induced autorotation. Theoretical and Computational Fluid Dynamics, pp.165-170, 2004.

D. Moxey, M. D. Green, S. J. Sherwin, and J. Peiró, An isoparametric approach to high-order curvilinear boundary-layer meshing, Computer Methods in Applied Mechanics and Engineering, vol.283, pp.636-650, 2015.
DOI : 10.1016/j.cma.2014.09.019

R. Ni, A multiple grid scheme for solving the Euler equations, 5th Computational Fluid Dynamics Conference, pp.1565-1571, 1982.
DOI : 10.2514/6.1981-1025

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

J. F. Remacle, J. E. Flaherty, and M. S. Shephard, An Adaptive Discontinuous Galerkin Technique with an Orthogonal Basis Applied to Compressible Flow Problems, SIAM Review, vol.45, issue.1, pp.53-72, 2003.
DOI : 10.1137/S00361445023830

J. F. Remacle, X. Li, M. S. Shephard, and J. E. Flaherty, Anisotropic adaptive simulation of transient flows using discontinuous Galerkin meth- ods

M. Ricchiuto, Contributions to the development of residual discretizations for hyperbolic conservation laws with application to shallow water flows
URL : https://hal.archives-ouvertes.fr/tel-00651688

K. Shahbazi, P. F. Fischer, and C. R. Ethier, A high-order discontinuous Galerkin method for the unsteady incompressible Navier???Stokes equations, Journal of Computational Physics, vol.222, issue.1, pp.391-407, 2007.
DOI : 10.1016/j.jcp.2006.07.029

C. Shu, High Order ENO and WENO Schemes for Computational Fluid Dynamics, Lecture Notes in Computational Science and Engineering, vol.9, pp.439-582, 1999.
DOI : 10.1007/978-3-662-03882-6_5

P. Solin, K. Segeth, and I. Dolezel, Higher-order finite element methods, 2003.

S. Tan, C. Wang, C. W. Shu, and J. Ning, Efficient implementation of high order inverse Lax???Wendroff boundary treatment for conservation laws, Journal of Computational Physics, vol.231, issue.6, pp.2510-2527, 2012.
DOI : 10.1016/j.jcp.2011.11.037

K. Wang, A. Rallu, J. F. Gerbeau, and C. Farhat, Algorithms for interface treatment and load computation in embedded boundary methods for fluid and fluid-structure interaction problems, International Journal for Numerical Methods in Fluids, vol.41, issue.1, pp.1175-1206, 2011.
DOI : 10.1002/fld.2556
URL : https://hal.archives-ouvertes.fr/hal-00651118

L. Wang, Techniques for high-order adaptive discontinuous Galerkin discretizations in fluid dynamics, 2009.

Z. Wang, A perspective on high-order methods in computational fluid dynamics, Science China Physics, Mechanics & Astronomy, vol.228, issue.20130318, pp.1-6, 2016.
DOI : 10.1007/s11433-015-5706-3

Z. J. Wang, High-order methods for the Euler and Navier???Stokes equations on unstructured grids, Progress in Aerospace Sciences, pp.1-41, 2007.
DOI : 10.1016/j.paerosci.2007.05.001

Z. J. Wang, High-order computational fluid dynamics tools for aircraft design, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.231, issue.1151, pp.372-2014, 2022.
DOI : 10.1098/rsta.1969.0031

Z. J. Wang, K. Fidkowski, R. Abgrall, F. Bassi, D. Caraeni et al., Highorder cfd methods: current status and perspective, International Journal for Numerical Methods in Fluids, issue.8, pp.72811-845, 2013.

M. Woopen, G. May, and J. Schütz, Adjoint-based error estimation and mesh adaptation for hybridized discontinuous Galerkin methods, International Journal for Numerical Methods in Fluids, vol.98, issue.2, pp.76811-834, 2014.
DOI : 10.1002/fld.3959

O. C. Zienkiewicz and J. Z. Zhu, A simple error estimator and adaptive procedure for practical engineerng analysis, International Journal for Numerical Methods in Engineering, vol.7, issue.18, pp.337-357, 1987.
DOI : 10.1002/nme.1620240206

O. C. Zienkiewicz and J. Z. Zhu, The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity, International Journal for Numerical Methods in Engineering, vol.8, issue.7, pp.1365-1382, 1992.
DOI : 10.1002/nme.1620330703