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
Klingbeil, K., J. Becherer, E. Schulz, H. E. de Swart, H. M. Schuttelaars, A. Valle-Levinson and H. Burchard (2019). Thickness-weighted averaging in tidal estuaries and the vertical distribution of the Eulerian residual transport. J. Phys. Oceanogr., doi: https://doi.org/10.1175/JPO-D-18-0083.1.
Husain, N. T., Hara, T., Buckley, M. P., Yousefi, K., Veron, F., & Sullivan, P. P. (2019). Boundary layer turbulence over surface waves in a strongly forced condition: Les and observation. J. Phys. Oceanogr., 49(8), 1997-2015, doi: https://doi.org/10.1029/2019JC015156.
Strommen, K., Christensen, H. M., MacLeod, D., Juricke, S., & Palmer, T. (2019). Progress Towards a Probabilistic Earth System Model: Examining The Impact of Stochasticity in EC-Earth v3. 2. Geosci. Model Dev., 12(7), doi: https://doi.org/10.5194/gmd-12-3099-2019.
Dwivedi, S., Franzke, C. L., & Lunkeit, F. (2019). Energetically Consistent Scale Adaptive Stochastic and Deterministic Energy Backscatter Schemes for an Atmospheric Model. Q. J. Roy. Meteorolo. Soc. https://doi.org/10.1002/qj.3625.
Noethen, F. (2019). Computing covariant Lyapunov vectors in Hilbert spaces. arXiv: 1907.12458.
Chirilus-Bruckner, M., van Heijster, P., Ikeda, H., & Rademacher, J. D. (2019). Unfolding symmetric Bogdanov-Takens bifurcations for front dynamics in a reaction-diffusion system. J. Nonlin. Sc., 1-43, doi.org/10.1007/s00332-019-09563-2.
Badin, G., Behrens, J., Franzke, C., Oliver, M. & Rademacher, J. (2019). Introduction, Geophys. Astro. Fluid, 113:5-6, 425-427, DOI: 10.1080/03091929.2019.1655259.
De Luca, P., Harpham, C., Wilby, R. L., Hillier, J. K., Franzke, C. L., & Leckebusch, G. C. (2019). Past and projected weather pattern persistence with associated multi-hazards in the British Isles. Atmosphere, 10(10), 577, https://doi.org/10.3390/atmos10100577 .
Rackow, T., & Juricke, S (2019). Flow‐dependent stochastic coupling for climate models with high ocean‐to‐atmosphere resolution ratio. Q. J. Roy. Meteor. Soc., 1-17, https://doi.org/10.1002/qj.3674.
Yang, L. Franzke, C.L., & Fu, Z. (2019). Power-law behaviour of hourly precipitation intensity and dry spell duration over the United States. International Journal of Climatology doi: https://doi.org/10.1002/joc.6343.
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