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 in my publications, 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.
gonzalo.gonzalez at courant.nyu.edu
Postdoctoral Research Associate
Courant Institute
New York University
Publications
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]