Area M: Mathematics, New Concepts and Methods
Area M represents the foundation of our project. The scientists in that area work on new mathematical concepts and numerical methods to be tested in the other project areas. Thus, it forms the basis for future work.
Objectives
Interdisciplinary approach
Applied mathematicians and experts from geo sciences are working together in area M, to foster an exchange with the other research areas and to transfer knowledge between the different disciplines. By working on consistent model formulation, new and consistent parameterisations and numerics for both atmosphere and ocean, the mathematicians can help climate scientists improve their models and thus enhance climate projections.
Specific research questions in Research Area M are:
- What is a mathematically and physically consistent model formulation for the different dynamical regimes and their interaction?
- Can we formulate better and physically consistent sub-grid scale parameterisations for the interaction between different dynamical regimes?
- Can we develop better numerical schemes?
Publications
Kutsenko, A. A. (2019). Matrix representations of multidimensional integral and ergodic operators. Appl. Math. Comput., Vol. 369, https://doi.org/10.1016/j.amc.2019.124818.
Lucarini, V. and Gritsun, A. (2019). A New Mathematical Framework for Atmospheric Blocking Events, Clim. Dynam., 1-24, doi:10.1007/s00382-019-05018-2.
Darbenas, Z. & Oliver, M. (2019). Uniqueness of solutions for weakly degenerate cordial Volterra integral equations. J. Integral Equ. Appl. 31, 307–327, doi: https://doi.org/10.1216/JIE-2019-31-3-307.
Scholz, P., Sidorenko, D., Gurses, O., Danilov, S., Koldunov, N., Wang, Q., Sein, D., Smolentseva, M., Rakowsky, N. & Jung, T. (2019). Assessment of the Finite VolumE Sea Ice Ocean Model (FESOM2.0), Part I: Description of selected key model elements and comparison to its predecessor version, Geosci. Model Dev., https://doi.org/10.5194/gmd-2018-329.
Danilov, S., & Kutsenko, A. (2019). On the geometric origin of spurious waves in finite-volume discretizations of shallow water equations on triangular meshes. J. Comput. Phys.,https://doi.org/10.1016/j.jcp.2019.108891.
Juricke, S., Danilov, S., Koldunov, N., Oliver, M. & Sidorenko, D. (2020). Ocean kinetic energy backscatter parametrization on unstructured grids: Impact on global eddy‐permitting simulations, J. Adv. Model. Earth Sys., 12, e2019MS001855. https://doi.org/10.1029/2019MS001855.
Lucarini, V. (2019). Stochastic Resonance for Non-Equilibrium Systems, J. Adv. Model. Earth Sys. doi: https://doi.org/10.1029/2019MS001855.
Kutsenko, A. A. (2019). Programming Infinite Machines. Erkenntnis, doi: https://doi.org/10.1007/s10670-019-00190-7.
Savelyev, I. B., Buckley, M. P., & Haus, B. K. (2020). The impact of nonbreaking waves on wind‐driven ocean surface turbulence. J. Geophys. Res.: Oceans, https://doi.org/10.1029/2019JC015573.
Lorenz, M., Klingbeil, K., & Burchard, H. (2020). Numerical study of the exchange flow of the Persian Gulf using an extended Total Exchange Flow analysis framework. J. Geophys. Res.: Oceans 125(2), e2019JC015527, doi: https://doi.org/10.1029/2019JC015527.