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
Danilov, S., Juricke, S., Kutsenko, A., & Oliver, M. (2019). Toward consistent subgrid momentum closures in ocean models. In Energy Transfers in Atmosphere and Ocean (pp. 145-192). Springer, Cham., doi: https://doi.org/10.1007/978-3-030-05704-6_5.
Klingbeil, K., Burchard, H., Danilov, S., Goetz, C. & Iske, A. (2019). Reducing spurious diapycnal mixing in ocean models. In Energy Transfers in Atmosphere and Ocean (pp. 245-286). Springer, Cham., doi: https://doi.org/10.1007/978-3-030-05704-6_8.
Franzke, C. L., Oliver, M., Rademacher, J. D., & Badin, G. (2019). Multi-scale methods for geophysical flows. In Energy Transfers in Atmosphere and Ocean (pp. 1-51). Springer, Cham., doi: https://doi.org/10.1007/978-3-030-05704-6_1.
Gassmann, A., & Blender, R. (2019). Entropy Production in Turbulence Parameterizations. In Energy Transfers in Atmosphere and Ocean (pp. 225-244). Springer, Cham., doi: https://doi.org/10.1007/978-3-030-05704-6_7.
Garcke, H., Hinze, M., & Kahle, C. (2019). Diffuse Interface Approaches in Atmosphere and Ocean—Modeling and Numerical Implementation. In Energy Transfers in Atmosphere and Ocean (pp. 287-307). Springer, Cham., doi: https://doi.org/10.1007/978-3-030-05704-6_9.
Franzke, C. L., D. Jelic, S. Lee, and S. B. Feldstein (2019). Systematic Decomposition of the MJO and its Northern Hemispheric Extra‐Tropical Response into Rossby and Inertio‐Gravity Components. Q. J. Roy. Meteor. Soc., doi: https://doi.org/10.1002/qj.3484.
Iske, A. (2019). Approximation Theory and Algorithms for Data Analysis. Texts App. Math., 68, Springer, doi: 10.1007/978-3-030-05228-7.
Burchard, H., X. Lange, K. Klingbeil, and P. MacCready (2019) Mixing estimates for estuaries, J. Phys. Oceanogr., 49, 631-648, doi: https://doi.org/10.1175/JPO-D-18-0147.1.
Merckelbach, L., A. Berger, G. Krahmann, M. Dengler and J. R. Carpenter (2019). A dynamic flight model for Slocum gliders and implications for turbulence microstructure measurements. J. Atmos. Ocean. Tech., Vol. 36 (2), 281-296, doi: https://doi.org/10.1175/JTECH-D-18-0168.1.
Noethen, F. (2019). A projector-based convergence proof of the Ginelli algorithm for covariant Lyapunov vectors. Physica D, Vol. 396, p. 18-34, doi: https://doi.org/10.1016/j.physd.2019.02.012.