F. Bassi and S. Rebay, A high-order accurate discontinuous finite element method for the numerical solution of the compressible navier-stokes equations, J. Comput. Physics, vol.131, issue.2, pp.267-279, 1997.

A. Silveira, R. Moura, A. Silva, and M. Ortega, Higher-order surface treatment for discontinuous Galerkin methods with applications to aerodynamics, Int. J. for Numerical Methods in Fluids, issue.79, pp.323-342, 2015.

R. Costa, S. Clain, R. Loubère, and G. J. Machado, High-order accurate finite volume scheme on curved boundaries for the two-dimensional steady-state convection-diffusion equation with dirichlet condition, Applied Mathematical Modelling, vol.54, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01399426

R. Sevilla, S. Fernandez-mendez, and A. Huerta, NURBS-enhanced finite element method for euler equations, Int. J. for Numerical Methods in Fluids, vol.57, issue.9, 2008.

T. Hughes, J. Cottrell, and Y. Bazilevs, Isogeometric analysis: CAD, finite elements, NURBS, exact geometry, and mesh refinement, Computer Methods in Applied Mechanics and Engineering, issue.194, pp.4135-4195, 2005.
URL : https://hal.archives-ouvertes.fr/hal-01513346

Y. Bazilevs, L. B. De-veiga, J. Cottrell, T. Hughes, and G. Sangalli, Isogeometric analysis: approximation, stability and error estimates for refined meshes, Mathematical Models and Methods in Applied Sciences, issue.6, pp.1031-1090, 2006.

J. Cottrell, T. Hughes, and Y. Bazilevs, Isogeometric analysis : towards integration of CAD and FEA, 2009.

Y. Bazilevs, C. Michler, V. Calo, and T. Hughes, Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly-enforced boundary conditions on unstretched meshes, Computer Methods in Applied Mechanics and Engineering, pp.780-790, 0199.

J. Evans and T. Hughes, Isogeometric divergence-conforming B-Splines for the steady Navier-Stokes equations, Mathematical Models and Methods in Applied Sciences, issue.8, p.23, 2013.

P. Nortoft and T. Dokken, Isogeometric analysis of Navier-Stokes flow using locally refinable B-Splines. SAGA -Advances in ShApes, Geometry, and Algebra, vol.10, pp.299-318, 2014.

B. S. Hosseini, M. Möller, and S. Turek, Isogeometric analysis of the navier-stokes equations with taylor-hood b-spline elements, Applied Mathematics and Computation, vol.267, pp.264-281, 2015.

P. Persson and J. Peraire, Curved mesh generation and mesh refinement using lagrangian solid mechanics, 47th AIAA Aerospace Sciences Meeting, 2009.

P. George and H. Borouchaki, Construction of tetrahedral meshes of degree two, Int. J. for Numerical Methods in Engineering, vol.90, issue.9, pp.1156-1182, 2012.

R. Abgrall, C. Dobrzynski, and A. Froehly, A method for computing curved meshes via the linear elasticity analogy, application to fluid dynamics problems, Int. J. for Numerical Methods in Fluids, vol.76, pp.246-266, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01045103

C. Geuzaine, A. Johnen, J. Lambrechts, J. F. Remacle, and T. Toulorge, The generation of valid curvilinear meshes, Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol.128, pp.15-39, 2015.

Y. Bazilevs, V. Calo, J. Cottrell, J. Evans, T. Hughes et al., Isogeometric analysis using T-splines, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.5-8, pp.229-263, 2010.
URL : https://hal.archives-ouvertes.fr/hal-01517950

G. Xu, B. Mourrain, R. Duvigneau, and A. Galligo, Parametrization of computational domain in isogeometric analysis: methods and comparison, Computer Methods in Applied Mechanics and Engineering, vol.200, pp.23-24, 2011.
URL : https://hal.archives-ouvertes.fr/inria-00530758

G. Xu, B. Mourrain, R. Duvigneau, and A. Galligo, Analysis-suitable volume parameterization of multi-block computational domain in isogeometric analysis, Computer Aided Design, vol.45, issue.2, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00685002

H. Speleers and C. Manni, Optimizing domain parameterization in isogeometric analysis based on Powell-Sabin splines, Journal of Computational and Applied Mathematics, vol.289, pp.68-86, 2015.

K. A. Johannessen, T. Kvamsdal, and T. Dokken, Isogeometric analysis using LR B-Splines, Computer Methods in Applied Mechanics and Engineering, vol.269, pp.471-514, 2014.

M. Aigner, C. Heinrich, B. Jüttler, E. Pilgerstorfer, B. Simeon et al., Swept volume parameterization for isogeometric analysis, 13th IMA International Conference on Mathematics of Surfaces, pp.19-44, 2009.

L. Engvall and J. Evans, Isogeometric triangular bernstein-bézier discretizations: automatic mesh generation and geometrically exact finite-element analysis, Computer Methods in Applied Mechanics and Engineering, issue.304, pp.378-407, 2016.

L. Engvall and J. Evans, Isogeometric unstructured tetrahedral and mixed-element bernstein-bézier discretizations, Computer Methods in Applied Mechanics and Engineering, issue.319, pp.83-123, 2017.

N. Jaxon and X. Qian, isogeometric analysis on triangulations, Computer Aided Design, issue.46, pp.45-57, 2014.

S. Xia, X. Wang, and X. Qian, Continuity and convergence in rational triangular bézier spline based isogeometric analysis, Computer Methods in Applied Mechanics and Engineering, issue.297, pp.292-324, 2015.

S. Xia and X. Qian, Isogeometric analysis with bézier tetrahedra, Computer Methods in Applied Mechanics and Engineering, issue.316, pp.782-816, 2017.

O. C. Zienkiewicz and P. Morice, The finite element method in engineering science, 1971.

C. Michoski, J. Chan, L. Engvall, and J. Evans, Foundations of the blended isogeometric discontinuous Galerkin (BIDG) method, Computer Methods in Applied Mechanics and Engineering, vol.305, pp.658-681, 2016.

R. Duvigneau, Isogeometric analysis for compressible flows using a Discontinuous Galerkin method, Computer Methods in Applied Mechanics and Engineering, vol.333, pp.443-461, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01589344

G. Farin, Curves and Surfaces for Computer-Aided Geometric Design, 1989.

L. Piegl and W. Tiller, The NURBS book, 1995.

D. Boor and C. , A Practical Guide to Splines, 1978.

T. Dokken, Locally refined splines. Non-Standard Numerical Methods for PDEs, 2010.

G. Xu, B. Mourrain, A. Galligo, and R. Duvigneau, Constructing analysis-suitable parameterization of computational domain from cad boundary by variational harmonic method, J. Comput, vol.252, 2013.
URL : https://hal.archives-ouvertes.fr/inria-00585663

P. Hennig, S. Müller, and M. Kastner, Bézier extraction and adaptive refinement of truncated hierarchical NURBS, Computer Methods in Applied Mechanics and Engineering, vol.305, pp.316-339, 2016.

D. D'angella, S. Kollmannsberger, E. Rank, and A. Reali, Multi-level Bézier extraction for hierarchical local refinement of isogeometric analysis, Computer Methods in Applied Mechanics and Engineering, vol.328, pp.147-174, 2018.

J. Cottrell, T. Hughes, and A. Reali, Studies of refinement and continuity in isogeometric analysis, Computer Methods in Applied Mechanics and Engineering, pp.4160-4183, 0196.

J. S. Hesthaven and T. Warburton, Nodal Discontinuous Galerkin Methods, 2008.

B. Cockburn, High-Order Methods for Computational Physics, chap. Discontinuous Galerkin Methods for Convection-Dominated Problems, 1999.

P. Batten, N. Clarke, C. Lambert, and M. Causon, On the choice of wavespeeds for the hllc Riemann solver, SIAM J. Sci. Comput. November, vol.18, issue.6, pp.1553-1570, 1997.

E. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics, 1997.

B. Cockburn and C. W. Shu, The local discontinuous galerkin method for time-dependent convection-diffusion systems, SIAM Journal of Num. An, vol.35, issue.6, pp.2440-2463, 1998.

G. Mengaldo, D. D. Grazia, F. Witherden, A. Farrington, P. Vincent et al., A guide to the implementation of boundary conditions in compact high-order methods for compressible aerodynamics, 7th AIAA Theoretical Fluid Mechanics Conference, 2014.

P. O. Persson and J. Peraire, Sub-cell shock capturing for discontinuous galerkin methods, 2006.

G. E. Barter and D. L. Darmofal, Shock capturing with PDE-based artificial viscosity for DGFEM: Part i. formulation, J. Comput. Physics, vol.229, issue.5, pp.1810-1827, 2010.

T. Leicht and R. Hartmann, Anisotropic mesh refinement for discontinuous galerkin methods in two-dimensional aerodynamic flow simulations, Int. J. for Numerical Methods in Fluids, vol.56, issue.11, pp.2111-2138, 2008.

A. Papoutsakis, S. S. Sazhin, S. Begg, I. Danaila, and F. Luddens, An efficient adaptive mesh refinement (AMR) algorithm for the discontinuous galerkin method: Applications for the computation of compressible two-phase flows, J. Comput. Physics, vol.363, pp.399-427, 2018.
URL : https://hal.archives-ouvertes.fr/hal-02011549

S. Sun and M. F. Wheeler, Anisotropic and dynamic mesh adaptation for discontinuous galerkin methods applied to reactive transport, Computer Methods in Applied Mechanics and Engineering, vol.195, pp.3382-3405, 2006.