Isogeometric analysis: Cad, finite elements, nurbs, exact geometry and mesh refinement, Computer Methods in Applied Mechanics and Engineering, vol.194, pp.4135-4195, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-01513346
, Curves and Surfaces for CAGD, 2002.
High-order cfd methods: current status and perspective, International Journal for Numerical Methods in Fluids, vol.72, pp.811-845, 2013. ,
A high-order accurate discontinuous finite element method for the numerical solution of the compressible navier-stokes equations, Journal of Computational Physics, vol.131, pp.267-279, 1997. ,
A discontinuous galerkin ale method for compressible viscous flows in moving domains, Journal of Computational Physics, vol.155, pp.128-159, 1999. ,
Evaluation of a highorder discontinuous galerkin method for the dns of turbulent flows, Computers & Fluids, vol.95, pp.210-226, 2014. ,
Higher-order surface treatment for discontinuous galerkin methods with applications to aerodynamics, International Journal for Numerical Methods in Fluids, vol.79, pp.323-342, 2015. ,
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-01914596
NURBS-enhanced finite element method for euler equations, Int. J. for Numerical Methods in Fluids, vol.57, 2008. ,
An example of high order residual distribution scheme using non Lagrange elements : example of Bézier and NURBS, WCCM 2010 -the 9th World Congress on Computational Mechanics and 4th Asian Pacific Congress on Computational Mechanics, 2010. ,
, Foundations of the blended isogeometric discontinuous Galerkin (BIDG) method, vol.305, pp.658-681, 2016.
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
Cad-consistent adaptive refinement using a nurbs-based discontinuous galerkin method, Int. J. for Numerical Methods in Fluids, 2020. ,
URL : https://hal.archives-ouvertes.fr/hal-02355979
An arbitrary lagrangian-eulerian discontinuous galerkin method for simulations of flows over variable geometries, Journal of Fluids and Structures, vol.26, p.329, 2010. ,
Discontinuous galerkin solution of the navier-stokes equations on deformable domains, Computer Methods in Applied Mechanics and Engineering, vol.198, pp.1585-1595, 2009. ,
A discontinuous galerkin discretization for solving the two-dimensional gas dynamics equations written under total lagrangian formulation on general unstructured grids, Journal of Computational Physics, vol.276, pp.188-234, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00950782
Space-time discontinuous galerkin finite element method with dynamic grid motion for inviscid compressible flows: I. general formulation, Journal of Computational Physics, vol.182, pp.546-585, 2002. ,
Arbitrary-lagrangian-eulerian discontinuous galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes, Journal of Computational Physics, vol.346, pp.449-479, 2017. ,
High order direct arbitrary-lagrangian-eulerian schemes on moving voronoi meshes with topology changes, Journal of Computational Physics, vol.407, pp.109-167, 2020. ,
, Arbitrary Lagrangian-Eulerian Methods, 2004.
A new finite element formulation for ale (arbitrary lagrangian eulerian) compressible fluid mechanics, International Journal of Engineering Science, vol.33, pp.1743-1762, 1995. ,
On the significance of the geometric conservation law for flow computations on moving meshes, Computer Methods in Applied Mechanics and Engineering, vol.190, pp.1467-1482, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-00871722
, Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications, 2007.
On the use of higher-order finite-difference schemes on curvilinear and deforming meshes, Journal of Computational Physics, vol.181, pp.155-185, 2002. ,
, The NURBS Book, 1996.
The local discontinuous galerkin method for time-dependent convection-diffusion systems, SIAM Journal on Numerical Analysis, vol.35, pp.2440-2463, 1998. ,
Strong stability-preserving high-order time discretization methods, SIAM Review, vol.43, p.112, 2001. ,
Comparison of high-order curved finite elements, International Journal for Numerical Methods in Engineering, vol.87, pp.719-734, 2011. ,
Improved ale mesh velocities for moving bodies, Communications in Numerical Methods in Engineering, vol.12, pp.599-608, 1996. ,
On upstream differencing and godunov-type schemes for hyperbolic conservation laws, SIAM Review, vol.25, pp.35-61, 1983. ,
Vortex formation in the wake of an oscillating cylinder, Journal of Fluids and Structures, vol.2, pp.355-381, 1988. ,
A study of two-dimensional flow past an oscillating cylinder, Journal of Fluid Mechanics, vol.385, pp.255-286, 1999. ,