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; 230:2794-2805.
Uranga A, Persson PO, Drela M, Peraire J. Implicit Large Eddy simulation of transitional flows over airfoils and wings. 19th AIAA Computational Fluid Dynamics, 2009-4131, San Antonio, Texas, 2009.
van der Bos F, Geurts BJ. Computational error-analysis of a discontinuous Galerkin discretization applied to large-eddy simulation of homogeneous turbulence. Computer Methods in Applied Mechanics and Engineering 2010; 199(13-16):903-915.
Wei L, Pollard A. Direct numerical simulation of compressible turbulent channel flows using the discontinuous Galerkin method. Computers and Fluids 2011; 47:85-100.
Zhou Y, Wang ZJ. Effects of surface roughness on laminar separation bubble over a wing at a low-reynolds number (AIAA 2011-736). Proceedings of the 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, Orlando, Florida, 2011.
Liang C, Premasuthan S, Jameson A. Large Eddy simulation of compressible turbulent channel flow with spectral difference method. 47th AIAA Aerospace Sciences Meeting, AIAA 2009-402, Orlando, Florida, 2009.
Ohlson J. Spectral-element simulations of separated turbulent internal flows. Ph.D. Thesis, Kungliga Tekniska Hogskolan (KTH), Stockholm, 2009.
Wasberg CE, Gjesdal T, Pettersson Reif BA, Andreassen O. Variational multiscale turbulence modelling in a high order spectral element method. Journal of Computational Physics 2009; 228:7333-7356.
Gassner GJ, Beck AD. On the accuracy of high order discretizations for underresolved turbulence simulations. Theoretical and Computational Fluid Dynamics 2012; 27(3-4):221-237.
First International workshop on high-order CFD methods, Nashville, Tennessee, January 2012. Available from: http://zjwang.com/hiocfd.html, [Accessed on November 2013].
Second international workshop on high-order CFD methods, Cologne, Germany, May 2013. Available from: http://www.dlr.de/as/desktopdefault.aspx/tabid-8170/13999_read-35550/, [Accessed on November 2013].
Wang ZJ, Fidkowski K, Abgrall R, Bassi F, Caraeni D, Cary A, Deconinck H, Hartmann R, Hillewaert K, Huynh HT, Kroll N, May G, Persson PO, van Leer B, Visbal M. High-order CFD methods: current status and perspectives. International Journal for Numerical Methods in Fluids 2013; 72(8):811-845.
Cockburn B. Higher-order methods for computational physics, lecture notes in computational science and engineering. In Discontinuous Galerkin Methods for Convection-Dominated Problems, Vol. 9, Barth TJ, Deconinck H (eds). Springer: Berlin Heidelberg, 1999; 69-224.
Arnold DN, Brezzi F, Cockburn B, Marini LD. Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM Journal on Numerical Analysis 2002; 39:1749-1779.
Shahbazi K. An explicit expression for the penalty parameter of the interior penalty method (short note). Journal of Computational Physics 2005; 205:401-407.
Hillewaert K, Remacle JF, Drosson M. Sharp constants in the hp-finite element trace inverse inequality for standard functional spaces on all element types in hybrid meshes. Unpublished data.
Warburton T. An explicit construction of interpolation nodes on the simplex. Journal of Engineering Mathematics 2006; 56(3):247-262. Preprint.
Canuto C, Hussaini M, Quarteroni A, Zang T. Spectral Methods in fluid dynamics. Springer-Verlag: Berlin Heidelberg, 1988.
Lee M, Oh B, Kim Y. Canonical fractional-step methods and consistent boundary conditions for the incompressible Navier-Stokes equations. Journal of Computational Physics 2001; 168:73-100.
Vasilyev O. High order finite difference schemes on non-uniform meshes with good conservation properties. Journal of Computational Physics 2000; 157(2):746-761.
Jimenez J, Wray A, Saffman P, Rogallo R. The structure of intense vorticity in isotropic turbulence. Journal of Fluid Mechanics 1993; 255:65-90.
