On the Utility of High-Order Methods for Unstructured Grids: A Comparison Between PyFR and Industry Standard Tools

[1]  R. Lewis,et al.  Low-storage, Explicit Runge-Kutta Schemes for the Compressible Navier-Stokes Equations , 2000 .

[2]  Chi-Wang Shu,et al.  The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems , 1998 .

[3]  Haiyang Gao,et al.  A High-Order Unifying Discontinuous Formulation for the Navier-Stokes Equations on 3D Mixed Grids , 2011 .

[4]  Petros Koumoutsakos,et al.  A comparison of vortex and pseudo-spectral methods for the simulation of periodic vortical flows at high Reynolds numbers , 2011, J. Comput. Phys..

[5]  D. Kopriva A Conservative Staggered-Grid Chebyshev Multidomain Method for Compressible Flows. II. A Semi-Structured Method , 1996 .

[6]  Rémi Abgrall,et al.  High‐order CFD methods: current status and perspective , 2013 .

[7]  Brian C. Vermeire,et al.  Adaptive IMEX schemes for high-order unstructured methods , 2015, J. Comput. Phys..

[8]  Paul G. Tucker,et al.  Canonical Test Cases for High-Order Unstructured Implicit Large Eddy Simulation , 2014 .

[9]  Antony Jameson,et al.  A New Class of High-Order Energy Stable Flux Reconstruction Schemes , 2011, J. Sci. Comput..

[10]  Freddie D. Witherden,et al.  PyFR: An open source framework for solving advection-diffusion type problems on streaming architectures using the flux reconstruction approach , 2013, Comput. Phys. Commun..

[11]  Zhi J. Wang,et al.  Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids. Basic Formulation , 2002 .

[12]  C. Williamson Vortex Dynamics in the Cylinder Wake , 1996 .

[13]  Zhi Jian Wang,et al.  A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids , 2009, J. Comput. Phys..

[14]  M. Breuer LARGE EDDY SIMULATION OF THE SUBCRITICAL FLOW PAST A CIRCULAR CYLINDER: NUMERICAL AND MODELING ASPECTS , 1998 .

[15]  George Em Karniadakis,et al.  Dynamics and low-dimensionality of a turbulent near wake , 2000, Journal of Fluid Mechanics.

[16]  Marcel Vinokur,et al.  Discontinuous Spectral Difference Method for Conservation Laws on Unstructured Grids , 2004 .

[17]  Chi-Wang Shu,et al.  TVB Runge-Kutta local projection discontinuous galerkin finite element method for conservation laws. II: General framework , 1989 .

[18]  Chi-Wang Shu,et al.  The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case , 1990 .