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Peter made some videos explaining some of his research:

These were recorded while visiting Steve Brunton's lab.

Book:

Analytic solutions for flows through cascades

Springer, 2020 (link)

Peter’s PhD thesis was kindly published as a book by Springer. In the thesis, he used and developed 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The unpublished thesis can be downloaded here.

Journal papers:

2023

• "Interpolatory input and output projections for flow control" (link)

            B. Herrmann, P. J. Baddoo, S. T. M. Dawson, R. Semaan, S. L. Brunton & B. J. McKeon

            Proceedings of the Royal Society A, 479:20220576, 2023

• "Pilot-wave dynamics: Using dynamic mode decomposition to characterize bifurcations,

             routes to chaos, and emergent statistics" (link)

            J.N. Kutz, A. Nachbin, P. J. Baddoo, J.W.M. Bush

            American Physical Society Physical Review E, 108, 034213, 2023

•   "Generalization of waving-plate theory to multiple interacting swimmers"(link, video)

            P. J. Baddoo, N. J. Moore, A. U. Oza & D. G. Crowdy

            Communications on Pure and Applied Mathematics, 2023

• "Physics-informed dynamic mode decomposition" (link, video)

            P. J. Baddoo, B. Herrmann, B. J. McKeon, J. N. Kutz & S. L. Brunton

            Proceedings of the Royal Society A, 479:20220576, 2023

2022

•   "Kernel Learning for Robust Dynamic Mode Decomposition: Linear andNonlinear

            Disambiguation Optimization (LANDO)" (link, video abstract)

            P. J. Baddoo, B. Herrmann, B. J. McKeon & S. L. Brunton

            Proceedings of the Royal Society A, 478:20210830, 2022

2021

•   "Log-lightning computation of capacity and Green's function" (link, video abstract)

            P. J. Baddoo & L. N. Trefethen

            Maple Transactions, 1(1), 2021

•   "The AAAtrig algorithm for rational approximation of periodic functions" (link)

            P. J. Baddoo

            SIAM Journal of Scientific Computing, 43(5):A3372–A3392, 2021

            Note: AAAtrig is now available as part of Chebfun

•   "Data-driven resolvent analysis" (link, video abstract)

            B. Herrmann, P. J. Baddoo, R. Semaan, S. L. Brunton & B. J. McKeon

            Journal of Fluid Mechanics, 918:A10, 2021

•   "Unsteady aerodynamics of porous aerofoils"(link, code)

             P. J. Baddoo, R. Hajian & J. W. Jaworski

            Journal of Fluid Mechanics, 913:A16, 2021

•   "A calculus for flows in periodic domains" (link, code)

            P. J. Baddoo & L. J. Ayton

            Theoretical and Computational Fluid Dynamics, 35:145–168, 2021

2020

•   "Lightning solvers for potential flows" (link)

            P. J. Baddoo

            Fluids, 5(4), 2020, (featured paper)

•   "Acoustic scattering by cascades with complex boundary conditions:

            compliance, porosity and impedance" (link, code)

            P. J. Baddoo & L. J. Ayton

             Journal of Fluid Mechanics, 898:A16, 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, 891:R2 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, 886:A1, 2020

2019

•   "Periodic Schwarz–Christoffel mappings with multiple boundaries per period"

            (link, video abstract)

            P. J. Baddoo & D. G. Crowdy

            Proceedings of the Royal Society A, 475:20190225, 2019 (featured paper)

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, 474:20180065, 2018

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,

            Physical Review Accelerators and Beams, 19(3), 2016

Pressure fields around a pair of heaving plates

Streamlines on a multiply connected, periodic Riemann surface

Idealised flow past a complicated boundary with embedded vortices

Featured article in Proceedings of the Royal Society A