Energy Transfers in Atmosphere and Ocean
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Since interactions between the dynamical regimes ultimately link the smallest scales to the largest ones through a range of complex processes, understanding these interactions is essential to constructing atmosphere and ocean models and to predicting the future climate. To this end, TRR 181 combines expertise in applied mathematics, meteorology, and physical oceanography.
This book provides an overview of representative specific topics addressed by TRR 181, ranging from
- a review of a coherent hierarchy of models using consistent scaling and approximations, and revealing the underlying Hamiltonian structure
- a systematic derivation and implementation of stochastic and backscatter parameterisations
- an exploration of the dissipation of large-scale mean or eddying balanced flow and ocean eddy parameterisations; and
- a study on gravity wave breaking and mixing, the interaction of waves with the mean flow and stratification, wave-wave interactions and gravity wave parameterisations
to topics of a more numerical nature such as the spurious mixing and dissipation of advection schemes, and direct numerical simulations of surface waves at the air-sea interface.
In TRR 181, the process-oriented topics presented here are complemented by an operationally oriented synthesis focusing on two climate models currently being developed in Germany. In this way, the goal of TRR 181 is to help reduce the biases in and increase the accuracy of atmosphere and ocean models, and ultimately to improve climate models and climate predictions.
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Armin Iske is a full professor of mathematics at the University of Hamburg, Germany. His research interests include multivariate numerical approximation and scattered data analysis with applications to the simulation-based sciences. He has edited several volumes on approximation theory and numerical methods for computational sciences and engineering.
