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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...
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...
LES modeling with high-order flux reconstruction and spectral difference schemes
High-Order Methods Large-Eddy Simulation Sub-Grid Scale Modeling.
2015/7/3
The combination of the high-order unstructured flux reconstruction and spectral difference spatial discretization schemes with sub-grid scale modeling for large-eddy simulation is investigated w...
Connections between the filtered discontinuous Galerkin method and the flux reconstruction approach to high order discretizations
High order methods Discontinuous Galerkin Energy stability
2015/7/3
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 identi@...
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...
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...
The research presented has been made possible by the support of the
following organizations:
Airforce Oce of Scienti c Research under grant FA9550-10-1-0418
by Dr. Fariba Fahroo
National Science ...