Publications

Journal articles

2020

  1. 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, 2020.
  2. F. D. Witherden and A. Jameson,
    Impact of Number Representation for High-Order Implicit Large-Eddy Simulations.
    AIAA Journal, 58(1), 2020, pp. 184–197.

2019

  1. 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, 2019.
  2. 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, 2019, pp. 758–780.
  3. 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, 2019, pp. 105–124.
  4. 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.

2018

  1. 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, 2018, pp. 692–723.
  2. 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, 2018, pp. 193–205.
  3. 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), 2018, pp. 601–606.

2017

  1. 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), 2017, pp. 1115–1144.
  2. 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), 2017, pp. 2186-2197.
  3. 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, 2017, pp. 497–521.

2016

  1. 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), 2016, pp. 905–920.
  2. 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, 2016, pp. 12–22.

2015

  1. F. D. Witherden, B. C. Vermeire, and P. E. Vincent,
    Heterogeneous computing on mixed unstructured grids with PyFR.
    Computers & Fluids, 120, 2015, pp. 173–186.
  2. 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, 2015, pp. 248–272.
  3. F. D. Witherden and P. E. Vincent,
    On the Identification of Symmetric Quadrature Rules for Finite Element Methods.
    Computers & Mathematics with Applications, 69(10), 2015, pp. 1232–1241.

2014

  1. 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), 2014, pp. 3028–3040.
  2. 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), 2014, pp. 398–423.

Conference papers

2019

  1. 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.
  2. 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.

2018

  1. 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.

2017

  1. 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.

2016

  1. 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.

2015

  1. M. Klemm, F. D. Witherden, and P. E. Vincent,
    Using the pyMIC Offload Module in PyFR.
    EuroSciPy 2015, 28–29 August 2015, Cambridge, UK.
  2. 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.
  3. 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.

2014

  1. 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.

Book chapters

  1. 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.
  2. 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.
  3. 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.
  4. 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.