Research

I made a couple of videos explaining some of my recent research:

These were recorded while visiting Steve Brunton's lab at the University of Washington in January 2020.

Book:

Analytic solutions for flows through cascades

Springer, 2020 (link)

My PhD thesis was kindly published as a book by Springer. In the thesis, I use and develop techniques from complex variable theory to study idealised flows through cascades (periodic array of objects). These fluids problems are relevant to turbomachinery aeroacoustics and aerodynamics in addition to natural scenarios such as fish schooling. Most of the chapters from the thesis have been published individually in the papers below. The thesis also jointly won the "Best Thesis Award" from the UK Fluids Network.


The unpublished thesis can be downloaded here.

Streamlines on a multiply connected, periodic Riemann surface

Preprints:​​
 

  • 2020: "Data-driven resolvent analysis"
    B. Herrmann, P. J. Baddoo, R. Semaan, S. L. Brunton, B. J. McKeon, arXiv:2010.02181
     

  • 2020: "The AAAtrig algorithm for rational approximation of periodic functions"
    P. J. Baddoo,
    arXiv:2008.05446, submitted to SISC
    Note: AAAtrig is now available as part of Chebfun

Journal papers:
 

  • 2020: "Lightning solvers for potential flows"
    P. J. Baddoo, accepted at MDPI Fluids
     

  • 2020: "Unsteady aerodynamics of porous aerofoils"
    P. J. Baddoo, R. Hajian & J. W. Jaworski, arXiv:1911.07382, accepted at Journal
    of Fluid Mechanics

     

  • 2020: "A calculus for flows in periodic domains"
    P. J. Baddoo & L. J. Ayton, Theoretical and Computational Fluid Dynamics, (
    link, code)
     

  • 2020: "Acoustic scattering by cascades with complex boundary conditions: compliance, porosity and impedance"
    (
    linkcode)
    P. J. Baddoo & L. J. Ayton, Journal of Fluid Mechanics

     

  • 2020: "Exact solutions for ground effect" (link, code, video abstract)
    P. J. Baddoo, M. Kurt, L. J. Ayton & K. W. Moored, Journal of Fluid Mechanics Rapids

     

  • 2020: "An analytic solution for gust–cascade interaction noise including effects of
    realistic aerofoil geometry" (
    link)
    P. J. Baddoo & L. J. Ayton, Journal of Fluid Mechanics

     

  • 2019: "Periodic Schwarz–Christoffel mappings with multiple boundaries per period"
    (
    linkvideo abstract)

    P. J. Baddoo & D. G. Crowdy, Proceedings of the Royal Society A
     

  • 2018: "Potential flow through a cascade of aerofoils: direct and inverse problems" (link)

    P. J. Baddoo & L. J. Ayton, Proceedings of the Royal Society A
     

  • 2016: "Electron bunch profile reconstruction based on phase-constrained iterative
    algorithm" (
    link)

    F. Bakkali Taheri, I.V. Konoplev, G. Doucas, P. J. Baddoo, R. Bartolini, J. Cowley
    & S.M. Hooker, Phys. Rev. Accel. Beams

Featured article in Proceedings of the Royal Society A

Conference proceedings:
 

  • 2019: "Analytic solutions for acoustic scattering by blade rows with complex boundaries: Porosity, compliance and impedance" (link)

    P. J. Baddoo & L. J. Ayton, 23rd International Congress on Acoustics, Aachen, Germany
     

  • 2019: "A Jacobi spectral collocation method for the steady aerodynamics of porous aerofoils" (link)

    P. J. Baddoo, R. Hajian & J. W. Jaworski, AIAA Fluid Dynamics Conference, Dallas, USA
     

  • 2019: "Modelling of Brown–Michael vortices in unsteady ground effect" (link)

    H. U. Chen, P. J. Baddoo, & J. W. Jaworski, AIAA Fluid Dynamics Conference, Dallas, USA
     

  • 2019: "The compact Green's function for multiple bodies" (link)

    P. J. Baddoo & L. J. Ayton, 25th AIAA/CEAS Aeroacoustics Conference, Delft, The Netherlands 
     

  • 2019: "Noise generated by entropic and compositional inhomogeneities interacting with a cascade of airfoils" (link)

    J. I. Guzman, P. J. Baddoo, A. S. Morgans & L. J. Ayton, 25th AIAA/CEAS Aeroacoustics Conference, Delft, The Netherlands
     

  • 2019: "Two-dimensional sound transmission in realistic turbomachinery cascade" (link)

    S. Moreau, P. J. Baddoo, H. Beriotz & M. Roger, 25th AIAA/CEAS Aeroacoustics Conference, Delft, The Netherlands
     

  • 2018: "Vortex equilibria in ground effect" (link)

    P. J. Baddoo & L. J. Ayton, AIAA Fluid Dynamics Conference, p. 2903, Atlanta, USA
     

  • 2018: "An analytic solution for gust–cascade interaction noise including effects of realistic aerofoil geometry: Inter-blade region" (link)

    P. J. Baddoo & L. J. Ayton, 24th AIAA/CEAS Aeroacoustics Conference, p. 2957, Atlanta, USA
     

  • 2017: "An analytic solution for gust–cascade interaction noise including effects of realistic aerofoil geometry" (link)

    P. J. Baddoo, & L. J. Ayton, 23rd AIAA/CEAS Aeroacoustics Conference, p. 3216, Denver, USA