Spectral Difference Method for Unstructured Grids II: Extension to the Euler Equations

By Zhijian Wang, Yen Liu, Georg May, Antony Jameson. Journal of Scientific Computing, 2007

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Connections between the filtered discontinuous Galerkin method and the flux reconstruction approach to high order discretizations (2011, methodology): “…t r a c t The purpose of this paper is to provide new insights on the connections that exist between the discontinuous Galerkin method (DG), the flux reconstruction method (FR) and the recently identified energy stable flux reconstruction method (ESFR) when solving time dependent conservation laws.”
A New Class of High-Order Energy Stable Flux Reconstruction Schemes (2011, background): “In recent years a range of studies have successfully employed SD methods to solve a variety of problems [9–11].”
High Order Strong Stability Preserving Time Discretizations (2009, methodology): “[54], atmospheric transport [10], large-eddy simulation [69], Maxwell’s equations [11], semiconductor devices [7], lithotripsy [88], geometrical optics [12], Schrodinger equations [9, 43], and combined with a range of spatial discretizations, including discontinuous Galerkin methods [11], level set ”