I am a postdoc working with Georg Stadler at the Courant Institute in New York and collaborating in the Sea Ice MURI project. I am currently studying sea ice dynamics using Subzero, a discrete element model (DEM) recently developed by collaborators from the MURI project. I am investigating the possibility of inferring rheological properties from this DEM using numerical techniques.

I previously completed my PhD at the Mathematical Institute of the University of Oxford under the supervision of Ian Hewitt and Patrick Farrell. My thesis, which you can find below, focused on viscous contact problems with applications in glaciology. Viscous contact problems are viscous flow problems where the fluid can detach and reattach from a solid surface. These are time-dependent problems which can be modelled with the Stokes equations with contact boundary conditions coupled to free boundary equations that evolve the shape of the fluid in time. Two examples of viscous contact problems arising in glaciology are marine ice sheets and the formation of subglacial cavities.

Please feel free to contact me if you have any questions or want to have a chat!

Submitted

• G.G. de Diego, M. Gupta, S.A. Gering, R. Haris, G. Stadler, Modeling sea ice in the marginal ice zone as a dense granular flow with rheology inferred from a discrete element model, (2024) [Arxiv]
• D. Shapero, G.G. de Diego, Numerical simulation of glacier terminus evolution using the dual action principle for momentum balance, (2024)

Peer-reviewed

• G.G. de Diego, P.E. Farrell, I.J. Hewitt, On the finite element approximation of a semicoercive Stokes variational inequality arising in glaciology, SIAM Journal of Numerical Analysis (2023) [doi] [Arxiv]
• G.G. de Diego, P.E. Farrell, I.J. Hewitt, Numerical approximation of viscous contact problems applied to glacial sliding, Journal of Fluid Mechanics (2022) [doi] [Arxiv]
• F. Bertrand, D. Boffi, G.G. de Diego, Convergence analysis of the scaled boundary finite element method for the Laplace equation, Advances in computational mathematics (2021) [doi] [Arxiv]
• G.G. de Diego, A. Palha, M. Gerritsma, Inclusion of no-slip boundary conditions in the MEEVC scheme, Journal of Computational Physics (2019) [doi]
• R. Bardera-Mora, M. A. Barcala-Montejano, A. Rodríguez-Sevillano, G. G. de Diego, M. Ruiz de Sotto, A spectral analysis of laser Doppler anemometry turbulent flow measurements in a ship air wake, Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering (2015) [doi]

PhD thesis. Viscous contact problems in glaciology, University of Oxford (2023) [link]