activity
20182022
most citedHyperbolic Diffusion in Flux Reconstruction: Optimisation through Kernel Fusion within Tensor-Product Elements

5 citations · 5 across the 3 of their papers we have counts for

collaborators

8 papers

math.NA2022

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…

math.NA2022

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…

cs.MS2021★ 5 cited

Hyperbolic Diffusion in Flux Reconstruction: Optimisation through Kernel Fusion within Tensor-Product Elements

Will Trojak, Rob Watson, Freddie Witherden

Novel methods are presented in this initial study for the fusion of GPU kernels in the artificial compressibility method (ACM), using tensor product elements with constant Jacobian…

math.NA2019

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…

math.NA2018

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…

math.NA2018

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…