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High-Order Flux Reconstruction Schemes with Minimal Dispersion and Dissipation
High-order · Flux reconstruction Discontinuous Galerkin dispersion Dissipation Wave propagation Mathematics Subject Classifi cati
2015/7/3
Modal analysis of the flux reconstruction (FR) formulation is performed to obtain the semi-discrete and fully-discrete dispersion relations, using which, the wave properties of physical as well ...
Energy Stable Flux Reconstruction Schemes for Advection–Diffusion Problems on Tetrahedra
High-order Unstructured Discontinuous Galerkin Spectral difference Flux reconstruction · Tetrahedra
2015/7/3
The flux reconstruction (FR) methodology provides a unifying description of many high-order schemes, including a particular discontinuous Galerkin (DG) scheme and several spectral difference (SD...
On the Non-linear Stability of Flux Reconstruction Schemes
High-order methods Flux reconstruction Nodal discontinuous Galerkin method Spectral difference method Non-linear stability
2015/7/3
The flux reconstruction (FR) approach unifies various high-order schemes, in cluding collocation based nodal discontinuous Galerkin (DG) methods, and all spectral difference methods (at le...
Application of High-Order Energy Stable Flux Reconstruction Schemes to the Euler Equations
High-Order Energy Stable Flux Reconstruction Schemes Euler Equations
2015/7/3
The authors recently identified an infinite range of high-order energy stable flux reconstruction (FR) schemes in 1D and on triangular elements in 2D. The new flux reconstructi...