317 citations · 320 across the 7 of their papers we have counts for
7 papers
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…
An extended range of energy stable flux reconstruction methods on triangles
Will Trojak, Peter Vincent
We present an extended range of stable flux reconstruction (FR) methods on triangles through the development and application of the summation-by-parts framework in two-dimensions.…
A new paradigm of dissipation-controllable, multi-scale resolving schemes for compressible flows
Xi Deng, Zhen-hua Jiang, Peter Vincent +2
The scale-resolving simulation of high speed compressible flow through direct numerical simulation (DNS) or large eddy simulation (LES) requires shock-capturing schemes to be more…
Using the pyMIC Offload Module in PyFR
Michael Klemm, Freddie Witherden, Peter Vincent
PyFR is an open-source high-order accurate computational fluid dynamics solver for unstructured grids. It is designed to efficiently solve the compressible Navier-Stokes equations…
On the Identification of Symmetric Quadrature Rules for Finite Element Methods
F. D. Witherden, P. E. Vincent
In this paper we describe a methodology for the identification of symmetric quadrature rules inside of quadrilaterals, triangles, tetrahedra, prisms, pyramids, and hexahedra. The m…
Heterogeneous Computing on Mixed Unstructured Grids with PyFR
F. D. Witherden, B. C. Vermeire, P. E. Vincent
PyFR is an open-source high-order accurate computational fluid dynamics solver for mixed unstructured grids that can target a range of hardware platforms from a single codebase. In…
PyFR: An Open Source Framework for Solving Advection-Diffusion Type Problems on Streaming Architectures using the Flux Reconstruction Approach
Freddie D Witherden, Antony M Farrington, Peter E Vincent
High-order numerical methods for unstructured grids combine the superior accuracy of high-order spectral or finite difference methods with the geometric flexibility of low-order fi…