My interests mostly relate to the numerical solution of differential equations. My current research focuses on solvers and topology optimization for electrochemical applications, including batteries and CO2 reduction. My broader interests include high performance computing, continuous optimization, and mathematical modelling.
Ph.D. Mathematics, University of Oxford
M.Sc. Mathematics, University of Ottawa
B.Sc. Mathematics, University of Ottawa
Articles published in peer-reviewed journals
M. D. Reale Batista et al. Design and additive manufacturing of optimized electrodes for energy storage applications. Carbon, 2023.
T. Roy, J. Andrej, V. A. Beck. A scalable DG solver for the electroneutral Nernst-Planck equations. Journal of Computational Physics, 2023.
T. Roy, M. A. Salazar de Troya, M. A. Worsley, V. A. Beck. Topology optimization for the design of porous electrodes. Structural and Multidisciplinary Optimization, 2022.
T. Roy, T. B. Jönsthövel, C. Lemon, and A. J. Wathen. A constrained pressure-temperature residual (CPTR) method for non-isothermal multiphase flow in porous media. SIAM Journal on Scientific Computing, 2020.
T. Roy, Y. Bourgault and C. Pierre. Analysis of time-stepping methods for the monodomain model. Computational and Applied Mathematics, 2020.
T. Roy, T. B. Jönsthövel, C. Lemon, and A. J. Wathen. A block preconditioner for non-isothermal flow in porous media. Journal of Computational Physics, 2019.
Articles submitted to peer-reviewed journals
N. Govindarajan, T. Y. Lin, T. Roy, C. Hahn, J. B. Varley. Coupling microkinetics with continuum transport models to understand electrochemical CO2 reduction in flow reactors. To appear in PRX Energy, 2023.