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?
Önskog, T., Franzke, C. L., and Hannachi, A. (2018). Predictability and Non-Gaussian Characteristics of the North Atlantic Oscillation. Journal of Climate, 31(2), 537-554.
Hu, G., and Franzke, C. L. (2017). Data Assimilation in a Multi-Scale Model.Mathematics of Climate and Weather Forecasting, 3(1), 118-139.
Kutsenko, A. A., Shuvalov, A. L., and Poncelet, O. (2018). Dispersion spectrum of acoustoelectric waves in 1D piezoelectric crystal coupled with 2D infinite network of capacitors, Journal of Applied Physics, 123, 044902, https://doi.org/10.1063/1.5005165 .
Vissio, G., Lucarini, V., (2018). A proof of concept for scale-adaptive parametrizations: the case of the Lorenz '96 model, Quarterly Journal of the Royal Meteorological Society, 144, 710, 63-75, doi.org/10.1002/qj.3184
Lemmen, C., R. Hofmeister, K. Klingbeil, Nasermoaddeli, M. H., O. Kerimoglu, H. Burchard, F. Kösters, K. W. Wirtz (2018). Modular System for Shelves and Coasts (MOSSCO v1.0) – a flexible and multi-component framework for coupled coastal ocean ecosystem modelling,Geoscientific Model Development, 10.5194/gmd-2017-138 .
Gonchenko, M. , Gonchenko, S., Ovsyannikov, I. and Vieiro, A.(2018). On local and global aspects of the 1:4 resonance in the conservative cubic Hénon maps. Chaos , 28, 043123, 2018. https://doi.org/10.1063/1.5022764
Frassl, M., B. Boehrer, P. Holtermann, W. Hu, K. Klingbeil, Z. Peng, ... and K. Rinke (2018). Opportunities and Limits of Using Meteorological Reanalysis Data for Simulating Seasonal to Sub-Daily Water Temperature Dynamics in a Large Shallow Lake. Water, 10(5), 594.
Wang, Q., Wekerle, C., Danilov, S., Koldunov, N., Sidorenko, D., Sein, D., Rabe, B., Jung, T. (2018). Arctic Sea Ice Decline Significantly Contributed to the Unprecedented Liquid Freshwater Accumulation in the Beaufort Gyre of the Arctic Ocean, Geophysical Research Letters, 45, 4956-4964, https://doi.org/10.1029.2018GL077901
Klingbeil, K., Debreu, L., Lemarié, F., and Burchard, H. (2018). The numerics of hydrostatic structured-grid coastal ocean models: state of the art and future perspectives. Ocean Modelling, Vol. 125, 80-105.
Mohamad, H., Oliver, M. (2018). H s-class construction of an almost invariant slow subspace for the Klein-Gordon equation in the non-relativistic limit, Journal of Mathematical Physics, 59, 051509, https://doi.org/10.1063/1.5027040