317 citations · 796 across the 31 of their papers we have counts for
35 papers
Analyzing the Impact of Augmented Reality Head-Mounted Displays on Workers' Safety and Situational Awareness in Hazardous Industrial Settings
Graciela Camacho-Fidalgo, Blain Judkins, Kylee Friederichs +5
Augmented Reality Head-Mounted Displays (AR-HMDs) have proven effective to assist workers. However, they may degrade their Safety and Situational Awareness (SSA), particularly in c…
PyFR v2.0.3: Towards Industrial Adoption of Scale-Resolving Simulations
Freddie D. Witherden, Peter E. Vincent, Will Trojak +17
PyFR is an open-source cross-platform computational fluid dynamics framework based on the high-order Flux Reconstruction approach, specifically designed for undertaking high-accura…
Cache Blocking for Flux Reconstruction: Extension to Navier-Stokes Equations and Anti-aliasing
Semih Akkurt, Freddie Witherden, Peter Vincent
In this article, cache blocking is implemented for the Navier Stokes equations with anti-aliasing support on mixed grids in PyFR for CPUs. In particular, cache blocking is used as…
Validation of wall boundary conditions for simulating complex fluid flows via the Boltzmann equation: Momentum transport and skin friction
Tarik Dzanic, Freddie D. Witherden, Luigi Martinelli
The influence and validity of wall boundary conditions for non-equilibrium fluid flows described by the Boltzmann equation remains an open problem. The substantial computational co…
An efficient GPU-based h-adaptation framework via linear trees for the flux reconstruction method
Lai Wang, Freddie Witherden, Antony Jameson
In this paper, we develop the first entirely graphic processing unit (GPU) based h-adaptive flux reconstruction (FR) method with linear trees. The adaptive solver fully operates on…
On the anti-aliasing properties of entropy filtering for discontinuous spectral element approximations of under-resolved turbulent flows
Tarik Dzanic, Will Trojak, Freddie D. Witherden
For large Reynolds number flows, it is typically necessary to perform simulations that are under-resolved with respect to the underlying flow physics. For nodal discontinuous spect…
Positivity-preserving entropy filtering for the ideal magnetohydrodynamics equations
Tarik Dzanic, Freddie D. Witherden
In this work, we present a positivity-preserving adaptive filtering approach for discontinuous spectral element approximations of the ideal magnetohydrodynamics equations. This app…
A positivity-preserving and conservative high-order flux reconstruction method for the polyatomic Boltzmann--BGK equation
Tarik Dzanic, Freddie D. Witherden, Luigi Martinelli
In this work, we present a positivity-preserving high-order flux reconstruction method for the polyatomic Boltzmann--BGK equation augmented with a discrete velocity model that ensu…
Nonlinear p-multigrid preconditioner for implicit time integration of compressible Navier--Stokes equations
Lai Wang, Will Trojak, Freddie Witherden +1
Within the framework of -adaptive flux reconstruction, we aim to construct efficient polynomial multigrid (MG) preconditioners for implicit time integration of the Navier--…
Positivity-Preserving Entropy-Based Adaptive Filtering for Discontinuous Spectral Element Methods
Tarik Dzanic, Freddie D. Witherden
In this work, we present a positivity-preserving entropy-based adaptive filtering method for shock capturing in discontinuous spectral element methods. By adapting the filter stren…
Artificial Compressibility Approaches in Flux Reconstruction for Incompressible Viscous Flow Simulations
Will Trojak, Nagabhushana Rao Vadlamani, James Tyacke +2
Several competing artificial compressibility methods for the incompressible flow equations are examined using the high-order flux reconstruction method. The established artificial…
Utilizing Time-Reversibility for Shock Capturing in Nonlinear Hyperbolic Conservation Laws
Tarik Dzanic, Will Trojak, Freddie D. Witherden
In this work, we introduce a novel approach to formulating an artificial viscosity for shock capturing in nonlinear hyperbolic systems by utilizing the property that the solutions…
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…
Bounds Preserving Temporal Integration Methods for Hyperbolic Conservation Laws
Tarik Dzanic, Will Trojak, Freddie D. Witherden
In this work, we present a modification of explicit Runge-Kutta temporal integration schemes that guarantees the preservation of any locally-defined quasiconvex set of bounds for t…
Partially-Averaged Navier-Stokes Simulations of Turbulence Within a High-Order Flux Reconstruction Framework
Tarik Dzanic, Sharath Girimaji, Freddie Witherden
High-order methods and hybrid turbulence models have independently shown promise as means of decreasing the computational cost of scale-resolving simulations. The objective of this…
Turbulence closure modeling with data-driven techniques: Investigation of generalizable deep neural networks
Salar Taghizadeh, Freddie Witherden, Yassin Hassan +1
Generalizability of machine-learning (ML) based turbulence closures to accurately predict unseen practical flows remains an important challenge. At the Reynolds-averaged Navier-Sto…
Enabling four-dimensional conformal hybrid meshing with cubic pyramids
Miroslav S. Petrov, Todor D. Todorov, Gage S. Walters +2
The main purpose of this article is to develop a novel refinement strategy for four-dimensional hybrid meshes based on cubic pyramids. This optimal refinement strategy subdivides a…
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…
Parameter-Conditioned Sequential Generative Modeling of Fluid Flows
Jeremy Morton, Freddie D. Witherden, Mykel J. Kochenderfer
The computational cost associated with simulating fluid flows can make it infeasible to run many simulations across multiple flow conditions. Building upon concepts from generative…