I am performing research on the partial differential equations of geophysical fluid dynamics, with a focus on the atmosphere and ocean dynamical equations that are applied in climate science. My research is located at the interface between Applied Mathematics, Atmosphere/Ocean science and scientific computing. Rooted in Applied Mathematics, I am collaborating with oceanographers, atmospheric scientists and physicists in the area of Atmosphere/Ocean science. To By exploring methods from Mathematical Fluid Dynamics, Numerical Analysis and from Computational Fluid Dynamics I gain insight from numerical experiments, theoretical considerations and the interplay between both.
I am advocating an integrated approach that blends mathematical analysis, numerical methods and computational science.
Mathematical Analysis: provides us with the fundamental conceptual view on the hydrodynamical PDEs that describe the dynamics of Atmosphere and Ocean, it fosters the understanding of the structure of the equations and of the properties of their solutions.
Numerical Methods: Based on the mathematical analysis of the PDEs, structure-preserving, accurate and efficient numerical algorithms are developed to compute solutions of oceanic and atmospheric equations.
Computational Science: computing is essential in reaching our goal, namely to develop innovative numerical methods for improving the solution of general circulation models in high-resolution simulations within a HPC environment.
Research III: ICON
I have developed a circulation model of the global ocean circulation. The name of the model is ICON-O. For ICON-O I conceived a novel numerical method, Significant parts of the model code I have written myself, and together with colleagues I have carried out some groundbreaking simulations at unprecedented resolution. ICON-O is a result of the modelling approach that integrates mathematics, numerics and High-Performance Computing. ICON-O is the ocean-sea-ice component of the Earth system model ICON. As a project ICON is a joint development effort of the Max-Planck Institute of Meteorology, the German Weather Service DWD and the German Climate Computing centre and a central pillar of Germany's national climate modelling strategy.