I develop new numerical methods based on solid, rigorous mathematical theory for seamless highly multi-scale anisotropically-unstructured mesh finite element models. Together with collaborators from Delft University of Technology (TU Delft), and Utrecht University, I am involved in a large modelling effort from global climate scales down to seagrass ecosystems of the bays of the Dutch Antilles, to analyse the Stability of Caribbean coastal Ecosystems uNder future Extreme Sea level changes (NWO SCENES). In addition, I am developing a new adaptive non-hydrostatic model of ice shelf ocean cavities, with an application to Pine Island Glacier, to accurately evaluate melt distribution and forming processes in acutely narrow networks of basal channels close to the grounding line.
Contributing to the EU 7th Framework Programme grant PEARL, I recently published a new numerical method enabling, for the first time, modelling of flood inundation fully in 3D, that is efficient over a large range of scales from the globe down to the human scales of an urban environment – for significantly increased accuracy in the modelling of tsunamis and their local effects, for example.
Computational fluid dynamics; ocean energy; geophysical fluid dynamics; oceanography and the cryosphere; coastal and global ocean modelling; multi-scale modelling and parameterisation; numerical regularisation and closure schemes; mixed and stabilised finite elements for advection dominated flows; turbulence and subgrid-scale modelling; geohazards including tsunamis and storm surge; adjoint based uncertainty quantification and sensitivity analysis; adaptive algorithms for anisotropic unstructured mesh discretisations; moving mesh methods; coupling of numerical models — to enable new approaches to answering current, important and open questions in science and better understand how our local environment and Earth systems behave.