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?
Gugole, F., and C.L. Franzke (2019). Numerical Development and Evaluation of an Energy Conserving Conceptual Stochastic Climate Model. Mathematics of Climate and Weather Forecasting, 5(1), 45-64.
Lorenz, M., K. Klingbeil, P. MacCready, and H. Burchard (2019). Numerical issues of the Total Exchange Flow (TEF) analysis framework for quantifying estuarine circulation, Ocean Science, 15, 601-614.
Stähler, S. C., Panning, M. P., Hadziioannou, C., Lorenz, R. D., Vance, S., Klingbeil, K., & Kedar, S. (2019). Seismic signal from waves on Titan's seas. Earth and Planetary Science Letters, 520, 250-259.
Noethen, F. (2019). Well-separating common complements of a sequence of subspaces of the same codimension in a Hilbert space are generic, arXiv:1906.08514
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. Journal of Physical Oceanography.
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. Geoscientific Model Development, 12(7).
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.