317 citations · 796 across the 31 of their papers we have counts for
6 papers · 1 filter
Foundations of space-time finite element methods: polytopes, interpolation, and integration
Cory V. Frontin, Gage S. Walters, Freddie D. Witherden +3
The main purpose of this article is to facilitate the implementation of space-time finite element methods in four-dimensional space. In order to develop a finite element method in…
A Riemann Difference Scheme for Shock Capturing in Discontinuous Finite Element Methods
Tarik Dzanic, Will Trojak, Freddie D. Witherden
We present a novel structure-preserving numerical scheme for discontinuous finite element approximations of nonlinear hyperbolic systems. The method can be understood as a generali…
Accuracy, Stability, and Performance Comparison between the Spectral Difference and Flux Reconstruction Schemes
Christopher Cox, Will Trojak, Tarik Dzanic +2
We report the development of a discontinuous spectral element flow solver that includes the implementation of both spectral difference and flux reconstruction formulations. With th…
On Fourier analysis of polynomial multigrid for arbitrary multi-stage cycles
Will Trojak, Freddie D. Witherden
The Fourier analysis of the \emph{p}-multigrid acceleration technique is considered for a dual-time scheme applied to the advection-diffusion equation with various cycle configurat…
Turbulence closure modeling with data-driven techniques: physical compatibility and consistency considerations
Salar Taghizadeh, Freddie D. Witherden, Sharath S. Girimaji
A recent thrust in turbulence closure modeling research is to incorporate machine learning (ML) elements, such as neural networks, for the purpose of enhancing the predictive capab…
Inline Vector Compression for Computational Physics
Will Trojak, Freddie Witherden
A novel inline data compression method is presented for single-precision vectors in three dimensions. The primary application of the method is for accelerating computational physic…