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Simulation of the Compressible Taylor Green Vortex using High-Order Flux Reconstruction Schemes
Compressible Taylor Green Vortex High-Order Flux Reconstruction Schemes
2015/7/6
In this paper, we investigate the ability of high-order Flux Reconstruction (FR) numerical schemes to perform accurate and stable computations of compressible turbulent ows on coarse meshes. Two new F...
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...
Energy stable flux reconstruction schemes for advection–diffusion problems
High-order Unstructured Discontinuous Galerkin
2015/7/3
High-order methods for unstructured grids provide a promising option for solving chal lenging problems in computational fluid dynamics. Flux reconstruction (FR) is a framework which unifie...
Energy stable flux reconstruction schemes for advection–diffusion problems on triangles
High-order Discontinuous Galerkin Spectral difference
2015/7/3
The Flux Reconstruction (FR) approach unifies several well-known high-order schemes for unstructured grids, including a collocation-based nodal discontinuous Galerkin (DG) method and all types o...
Insights from von Neumann analysis of high-order flux reconstruction schemes
High-order methods Flux reconstruction Nodal discontinuous Galerkin method
2015/7/3
Additionally, twodimensional non-linear numerical experiments are undertaken in order to assess whether results of the 1D von Neumann analysis (which is inherently linear) extend to real world problem...
A New Class of High-Order Energy Stable Flux Reconstruction Schemes for Triangular Elements
High-order methods Flux reconstruction Nodal discontinuous Galerkin method Triangular elements Stability
2015/7/3
The flux reconstruction (FR) approach allows various well-known high-order schemes, such as collocation based nodal discontinuous Galerkin (DG) methods and spectral difference (SD) methods, to b...
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...
A New Class of High-Order Energy Stable Flux Reconstruction Schemes
High-order methods Flux reconstruction Nodal discontinuous Galerkin method
2015/7/3
The flux reconstruction approach to high-order methods is robust, efficient, simple to implement, and allows various high-order schemes, such as the nodal discontinu ous Galerkin method an...