- F. D. Witherden,

Python at petascale with PyFR or: how I learned to stop worrying and love the snake.

Computing in Science & Engineering, 23(4), pp. 29–37, 2021. - A. S. Iyer, Y. Abe, B. C. Vermeire, P. Bechlars, R. D. Baier, A. Jameson, F. D. Witherden, and P. E. Vincent,

High-Order Accurate Direct Numerical Simulation of Flow over a MTU-T161 Low Pressure Turbine Blade.

Computers & Fluids, 104989, 2021. - C. V. Frontin, G. S. Walters, F. D. Witherden, C. W. Lee, D. M. Williams, and D. L. Darmofal,

Foundations of space-time finite element methods: Polytopes, interpolation, and integration.

Applied Numerical Mathematics, 166, pp. 92–113, 2021. - W. Trojak and F. D. Witherden,

A New Family of Weighted One-Parameter Flux Reconstruction Schemes.

Computers & Fluids, 222, 104918, 2021. - C. Cox, W. Trojak, T. Dzanic, F. D. Witherden, and A. Jameson,

Accuracy, Stability, and Performance Comparison between the Spectral Difference and Flux Reconstruction Schemes.

Computers & Fluids, 221, 104922, 2021. - J. Morton, M. J. Kochenderfer, and F. D. Witherden,

Parameter-Conditioned Sequential Generative Modeling of Fluid Flows.

AIAA Journal, 59(3), pp. 825–841, 2021. - W. Trojak and F. D. Witherden,

Inline vector compression for computational physics.

Computer Physics Communications, 258, 107562, 2021. - F. D. Witherden and P. E. Vincent,

On nodal point sets for flux reconstruction.

Journal of Computational and Applied Mathematics, 381, 113014, 2021.

- T. S. Fowler, IV, F. D. Witherden, and S. S. Girimaji,

Partially-averaged Navier–Stokes simulations of turbulent flow past a square cylinder: Comparative assessment of statistics and coherent structures at different resolutions.

Physics of Fluids, 32(12), 125106, 2020. - T. S. Fowler, IV, F. D. Witherden, and S. S. Girimaji,

Pulsating Flow Past a Square Cylinder: Analysis of Force Coefficient Spectra and Vortex-Structure Development.

Journal of Fluids Engineering, 142(12), 121106, 2020. - S. Taghizadeh, F. D. Witherden, and S. S. Girimaji,

Turbulence closure modeling with data-driven algorithms: physical compatibility and consistency considerations.

New Journal of Physics, 22, 093023, 2020. - J. Romero, J. Crabill, J. E. Watkins, F. D. Witherden, and A. Jameson,

ZEFR: A GPU-accelerated high-order solver for compressible viscous flows using the flux reconstruction method.

Computer Physics Communications, 250, 107169, 2020. - F. D. Witherden and A. Jameson,

Impact of Number Representation for High-Order Implicit Large-Eddy Simulations.

AIAA Journal, 58(1), pp. 184–197, 2020.

- N. A. Loppi, F. D. Witherden, A. Jameson, and P. E. Vincent,

Locally adaptive pseudo-time stepping for high-order Flux Reconstruction.

Journal of Computational Physics, 399, 108913, 2019. - A. S. Iyer, F. D. Witherden, S. I. Chernyshenko, and P. E. Vincent,

Identifying eigenmodes of averaged small-amplitude perturbations to turbulent channel flow.

Journal of Fluid Mechanics, 875, pp. 758–780, 2019. - K. T. Carlberg, A. Jameson, M. J. Kochenderfer, J. Morton, L. Peng, and F. D. Witherden,

Recovering missing CFD data for high-order discretizations using deep neural networks and dynamics learning.

Journal of Computational Physics, 395, pp. 105–124, 2019. - J. A. Crabill, F. D. Witherden, and A. Jameson,

High-order computational fluid dynamics simulations of a spinning golf ball.

Sports Engineering, 22(9), 2019.

- J. A. Crabill, F. D. Witherden, and A. Jameson,

A parallel direct cut algorithm for high-order overset methods with application to a spinning golf ball.

Journal of Computational Physics, 374, pp. 692–723, 2018. - N. A. Loppi, F. D. Witherden, A. Jameson, and P. E. Vincent,

A High-Order Cross-Platform Incompressible Navier–Stokes Solver via Artificial Compressibility with Application to a Turbulent Jet.

Computer Physics Communications, 233, pp. 193–205, 2018. - F. D. Witherden and A. Jameson,

On the spectrum of the Steger–Warming flux‐vector splitting scheme.

International Journal for Numerical Methods in Fluids, 87(12), pp. 601–606, 2018.

- J. Romero, F. D. Witherden, and A. Jameson,

A Direct Flux Reconstruction Scheme for Advection–Diffusion Problems on Triangular Grids.

Journal of Scientific Computing, 73(2–3), pp. 1115–1144, 2017. - J. S. Park, F. D. Witherden, and P. E. Vincent,

High-Order Implicit Large-Eddy Simulations of Flow over a NACA0021 Aerofoil.

AIAA Journal, 55(7), pp. 2186-2197, 2017. - B. C. Vermeire, F. D. Witherden, and P. E. Vincent,

On the utility of GPU accelerated high-order methods for unsteady flow simulations: A comparison with industry-standard tools.

Journal of Computational Physics, 334, pp. 497–521, 2017.

- F. D. Witherden, J. S. Park, and P. E. Vincent,

An Analysis of Solution Point Coordinates for Flux Reconstruction Schemes on Tetrahedral Elements.

Journal of Scientific Computing, 69(2), pp. 905–920, 2016. - B. D. Wozniak, F. D. Witherden, F. P. Russell, P. E. Vincent, and P. H. J. Kelly,

GiMMiK—Generating bespoke matrix multiplication kernels for accelerators: Application to high-order Computational Fluid Dynamics.

Computer Physics Communications, 202, pp. 12–22, 2016.

- F. D. Witherden, B. C. Vermeire, and P. E. Vincent,

Heterogeneous computing on mixed unstructured grids with PyFR.

Computers & Fluids, 120, pp. 173–186, 2015. - P. E. Vincent, A. M. Farrington, F. D. Witherden, and A.
Jameson,

An extended range of stable-symmetric-conservative Flux Reconstruction correction functions.

Computer Methods in Applied Mechanics and Engineering, 296, pp. 248–272, 2015. - F. D. Witherden and P. E. Vincent,

On the Identification of Symmetric Quadrature Rules for Finite Element Methods.

Computers & Mathematics with Applications, 69(10), pp. 1232–1241, 2015.

- F. D. Witherden, A. M. Farrington, and P. E. Vincent,

PyFR: An Open Source Framework for Solving Advection-Diffusion Type Problems on Streaming Architectures Using the Flux Reconstruction Approach.

Computer Physics Communications, 185(11), pp. 3028–3040, 2014. - F. D. Witherden and P. E. Vincent,

An Analysis of Solution Point Coordinates for Flux Reconstruction Schemes on Triangular Elements.

Journal of Scientific Computing, 61(2), pp. 398–423, 2014.

- W. Trojak, T. Dzanic, and F. D. Witherden,

Shock Capturing Methods in High-Order Flux Reconstruction I: Graph Viscosity and Convex Limiting Approaches.

AIAA Scitech 2021, 11–15 and 19–21 January 2021. - D. W. Hartman, T. Dzanic, F. D. Witherden, A. Tropina, and R. B. Miles,

Numerical analysis and prediction of Aero-optical effects.

AIAA Scitech 2021, 11–15 and 19–21 January 2021.

- T. Dzanic, K. Shah, and F. D. Witherden,

Fourier Spectrum Discrepancies in Deep Network Generated Images.

NeurIPS 2020, 6–12 December 2020.

- Y. Abe, F. D. Witherden, G. Giangaspero, B. C. Vermeire, A. S. Iyer, and P. E. Vincent,

High-performance Implementation of Inlet Turbulence Generation for GPU-based Parallel Computation.

Advanced Fluid Information 2019, 6–8 November 2019, Sendai, Miyagi, JP. - J. Morton, F. D. Witherden, and M. J. Kochenderfer,

Deep Variational Koopman Models: Inferring Koopman Observations for Uncertainty-Aware Dynamics Modeling and Control.

IJCAI-19, 10–16 August 2019, Macao, PRC.

- J. Morton, F. D. Witherden, A. Jameson, and M. J. Kochenderfer,

Deep Dynamical Modeling and Control of Unsteady Fluid Flows.

NeurIPS 2018, 2–8 December 2018, Montréal, Quebec, CA.

- F. D. Witherden and A. Jameson,

Future Directions of Computational Fluid Dynamics.

23rd AIAA Computational Fluid Dynamics Conference, 5–9 June 2017, Denver, Colorado, USA.

- P. E. Vincent, F. D. Witherden, B. C. Vermeire, J. S. Park, and A. Iyer,

Towards Green Aviation with Python at Petascale.

SC16, 13–18 November 2016, Salt Lake City, Utah, USA.

- M. Klemm, F. D. Witherden, and P. E. Vincent,

Using the pyMIC Offload Module in PyFR.

EuroSciPy 2015, 28–29 August 2015, Cambridge, UK. - B. C. Vermeire, F. D. Witherden, and P. E. Vincent,

On the Utility of High-Order Methods for Unstructured Grids: A Comparison Between PyFR and Industry Standard Tools.

22nd AIAA Computational Fluid Dynamics Conference, 22–26 June 2015, Dallas, Texas, USA. - P. E. Vincent, F. D. Witherden, A. M. Farrington, G. Ntemos, B. C. Vermeire, J. S. Park, and A. S. Iyer,

PyFR: Next-Generation High-Order Computational Fluid Dynamics on Many-Core Hardware.

22nd AIAA Computational Fluid Dynamics Conference, 22–26 June 2015, Dallas, Texas, USA.

- G. Mengaldo, D. De Grazia, J. Peiro, A. M. Farrington, F. D. Witherden, P. E. Vincent, and S. J. Sherwin,

A Guide to the Implementation of Boundary Conditions in Compact High-Order Methods for Compressible Aerodynamics.

7th AIAA Theoretical Fluid Mechanics Conference, 16–20 June 2014, Atlanta, Georgia, USA.

- M. Rasquin, K. Hillewaert, A. Colombo, F. Bassi, F. Massa, K. Puri, A. S. Iyer, Y. Abe, F. D. Witherden, B. C. Vermeire, and P. E. Vincent,

Computational Campaign on the MTU T161 Cascade.

In TILDA: Towards Industrial LES/DNS in Aeronautics, edited by C. Hirsch, K. Hillewaert, R. Hartmann, V. Couaillier, J-F. Boussuge, F. Chalot, S. Bosniakov, and W. Haase. Springer, 2021. - F. Bassi, L. Botti, L. Verzeroli, R. Hartmann, J. Jägersküpper, E. Martin, M. Lorteau, P. E. Vincent, F. D. Witherden, B. C. Vermeire, J. S. Park, A. Iyer, K. Puri, D. Gutzwiller, C. Hirsch, and F. Chalot,

Parallelisation to Several Tens-of-Thousands of Cores.

In TILDA: Towards Industrial LES/DNS in Aeronautics, edited by C. Hirsch, K. Hillewaert, R. Hartmann, V. Couaillier, J-F. Boussuge, F. Chalot, S. Bosniakov, and W. Haase. Springer, 2021. - F. D. Witherden and A. Jameson,

Aerodynamics.

In Encyclopedia of Computational Mechanics Second Edition, edited by E. Stein, R. de Borst, and T. J. R. Hughes. Wiley, 2017. - F. D. Witherden, A. Jameson, and D. W. Zingg,

The Design of Steady State Schemes for Computational Aerodynamics.

In Handbook of Numerical Methods for Hyperbolic Problems — Applied and Modern Issues, edited by R. Abgrall and C-W. Shu. Elsevier, 2017. - F. D. Witherden, P. E. Vincent, and A. Jameson,

High-Order Flux Reconstruction Schemes.

In Handbook of Numerical Methods for Hyperbolic Problems — Basic and Fundamental Issues, edited by R. Abgrall and C-W. Shu. Elsevier, 2016. - J. Enkovaara, M. Klemm, and F. D. Witherden,

High Performance Python Offloading.

In High Performance Parallelism Pearls Volume 2 pp. 246–269, edited by J. Jeffers and J. Reinders. Morgan Kaufmann, 2015.