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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 ...