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An extended range of stable flux reconstruction schemes on quadrilaterals for various polynomial bases
Will Trojak, Rob Watson, Peter Vincent
An extended range of energy stable flux reconstruction schemes, developed using a summation-by-parts approach, is presented on quadrilateral elements for various sets of polynomial…
On the Use of RBF Interpolation for Flux Reconstruction
Rob Watson, Will Trojak
Flux reconstruction provides a framework for solving partial differential equations in which functions are discontinuously approximated within elements. Typically, this is done by…
All Equalities Are Equal, but Some Are More Equal Than Others: The Effect of Implementation Aliasing on the Numerical Solution to Conservation Equations
Will Trojak, Ash Scillitoe, Rob Watson
We investigate the effect of aliasing when applied to the storage of variables, and their reconstruction for the solution of conservation equations. In particular, we investigate t…
Effect of Mesh Quality on Flux Reconstruction in Multi-Dimensions
Will Trojak, Rob Watson, Ashley Scillitoe +1
Theoretical methods are developed to understand the effect of non-uniform grids on Flux Reconstruction (FR) in multi-dimensions. The analysis reveals that the same effect of expand…
High Order Flux Reconstruction on Stretched and Warped Meshes
Will Trojak, Rob Watson, Paul G. Tucker
High-order CFD is gathering a broadening interest as a future industrial tool, with one such approach being Flux Reconstruction (FR). However, due to the need to mesh complex geome…
Temporal Stabilisation of Flux Reconstruction on Linear Problems
Will Trojak, Rob Watson, Paul G. Tucker
Filtering is often used in Large Eddy Simulation with a global filter width, instead here a filter width in the reference domain of high order Flux Reconstruction is considered. It…
Generalised Lebesgue Stable Flux Reconstruction
Will Trojak
A unique set of correction functions for Flux Reconstruction is presented, with there derivation stemming from proving the existence of energy stability in the Lebesgue norm. The s…