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• Gottlieb S, Orszag A. Numerical Analysis of Spectral Methods: Theory and Applications. SIAM: Philadelphia, 1977.
• Godunov S. A finite-difference method for the numerical computation of discontinuous solutions of the equations of fluid dynamics. Matematicheski Sbornik 1959; 47:271-306.
• Harten A, Engquist B, Osher S, Chakravarthy S. Uniformly high order essentially non-oscillatory schemes III. Journal of Computational Physics 1987; 71:231-303.
• Lele S. Compact finite difference schemes with spectral-like resolution. Journal of Computational Physics 1992; 103:16-42.
• Liu X, Osher S, Chan T. Weighted essentially non-oscillatory schemes. Journal of Computational Physics 1994; 115:200-212.
• Tam C, Webb J. Dispersion-relationpreserving finite difference schemes for computational acoustics. Journal of Computational Physics 1993; 107:262-281.
• Leer BV. Towards the ultimate conservative difference scheme V. A second order sequel to Godunov's method. Journal of Computational Physics 1979; 32:101-136.
• Visbal M, Gaitonde D. On the use of higher-order finite-difference schemes on curvilinear and deforming meshes. Journal of Computational Physics 2002; 181(1):155-185.
• Abgrall R, Larat A, Ricchiuto M. Construction of very high order residual distribution schemes for steady inviscid flow problems on hybrid unstructured meshes. Journal of Computational Physics 2011; 230(11):4103-4136.
• Barth T, Frederickson P. High-order solution of the Euler equations on unstructured grids using quadratic reconstruction. AIAA Paper 90-0013, American Institute of Aeronautics and Astronautics, 1990.
• Cockburn B, Shu CW. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: general framework. Mathematics of Computation 1989; 52:411-435.
• Bassi F, Rebay S. A high-order discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations. Journal of Computational Physics 1997; 131:267-279.
• Hughes T. Recent progress in the development and understanding of SUPG methods with special reference to the compressible Euler and Navier-Stokes equations. International Journal of Numerical Methods in Fluids 1987; 7:1261-1275.
• Huynh H. A flux reconstruction approach to high-order schemes including discontinuous Galerkin methods. AIAA Paper 2007-4079, American Institute of Aeronautics and Astronautics, 2007.
• Kopriva D, Kolias J. A conservative staggered-grid Chebyshev multidomain method for compressible flows. Journal of Computational Physics 1996; 125:244-261.
• Liu Y, Vinokur M, Wang Z. Discontinuous spectral difference method for conservation laws on unstructured grids. Journal of Computational Physics 2006; 216:780-801.
• Patera A. A spectral element method for fluid dynamics: laminar flow in a channel expansion. Journal of Computational Physics 1984; 54:468-488.
• Reed W, Hill T. Triangular mesh methods for the neutron transport equation. Los Alamos Scientific Laboratory Technical Report LA-UR-73-479, Los Alamos Scientific Laboratory, 1973.
• Ekaterinaris J. High-order accurate, low numerical diffusion methods for aerodynamics. Progress in Aerospace Sciences 2005; 41:192-300.
• Wang Z. High-order methods for the Euler and Navier-Stokes equations on unstructured grids. Progress in Aerospace Sciences 2007; 43:1-41.
• Vassberg J. Expectations for computational fluid dynamics. Journal of Computational Fluid Dynamics 2005; 19(8):549-558.
• Wagner C, Hüttl T, Sagaut P. Large-eddy Simulation for Acoustics. Cambridge University Press: Cambridge, United Kingdom, 2007.
• Kroll N, Bieler H, Deconinck H, Couaillier V, vander Ven H, Sorensen K. ADIGMA - A European Initiative on the Development of Adaptive Higher-order Variational Methods for Aerospace Applications, Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Vol. 113. Springer: Berlin, Heidelberg, 2010.
• DLR Germany. TauBench - IPACS. Available from: http://www.ipacs-benchmark.org [Accessed on 12/24/2012].
• Chiocchia G. Exact solutions to transonic and supersonic flows. AGARD Report AR-211, Advanced Guidance for Alliance Research and Development, part of NATO Science & Technology Organization, 1985.
• Landau L, Lifshitz E. Fluid mechanics, 2nded., Course in Theoretical Physics. Elsevier: Amsterdam, the Netherlands, 1987.
• Cook P, McDonald M, Firmin M. Aerofoil RAE 2822 - pressure distributions, and boundary layer and wake measurements, experimental data base for computer program assessment. AGARD Report AR-138, Advanced Guidance for Alliance Research and Development, part of NATO Science & Technology Organization, 1979.
• Riley A, Lowson M. Development of a three dimensional free shear layer. Journal of Fluid Mechanics 1998; 369:49-89.
• Klaij C, vander Vegt J, vander Ven H. Space-time discontinuous Galerkin method for the compressible Navier-Stokes equations. Journal of Computational Physics 2006; 217:589-611.
• Leicht T, Hartmann R. Error estimation and anisotropic mesh refinement for 3D laminar aerodynamic flow simulations. Journal of Computational Physics 2010; 29(19):7344-7360.
• Morrison JH, Hemsch MJ. Statistical analysis of CFD solutions from the third AIAA drag prediction workshop. AIAA Paper 2007-254, American Institute of Aeronautics and Astronautics, 2007.
• Selig M, Guglielmo J, Broeren A, Giguère P. Summary of Low-speed Airfoil Data Vol. 1. SoarTech Publications: Virginia Beach, Virginia, 1995.
• Williamson J. Low-storage Runge-Kutta schemes. Journal of Computational Physics 1980; 35:48-56.
• van Rees WM, Leonard A, Pullin DI, Koumoutsakos P. A comparison of vortex and pseudo-spectral methods for the simulation of periodic vortical flows at high Reynolds numbers. Journal of Computational Physics 2011; 230(8):2794-2805. DOI: 10.1016/j.jcp.2010.11.031.
• Kim J, Lee D. Optimized compact finite difference schemes with maximum resolution. AIAA Journal 1996; 34(5):887-893.
• Ramboer J, Broeckhoven T, Smirnov S, Lacor C. Optimization of time integration schemes coupled to spatial discretization for use in CAA applications. Journal of Computational Physics 2006; 213(2):777-802.
• Hu F, Hussani M, Manthey J. Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics. Journal of Computational Physics 1996; 124:177-191.
• Geuzaine C, Remacle JF. Gmsh: a three-dimensional finite element mesh generator with built-in pre- and post-processing facilities. International Journal for Numerical Methods in Engineering 2009; 79(11):1309-1331.
• Fidkowski KJ, Darmofal DL. Review of output-based error estimation and mesh adaptation in computational fluid dynamics. American Institute of Aeronautics and Astronautics Journal 2011; 49(4):673-694.