Editors:
- Gives a coherent and up-to-date overview over highly relevant interdisciplinary research activities between applied mathematics, meteorology, and physical oceanography, being funded by Deutsche Forschungsgemeinschaft via a collaborative research center
- Covers a wide range of highly relevant topics relying on novel concepts from mathematical modelling and numerical simulation, wave processes, large-scale and balanced processes
- Offers the reader to prepare themselves for research activities in this interdisciplinary area
Part of the book series: Mathematics of Planet Earth (MPE, volume 1)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
About this book
This book describes a recent effort combining interdisciplinary expertise within the Collaborative Research Centre “Energy transfers in atmosphere and ocean” (TRR-181), which was funded by the German Research Foundation (DFG). Energy transfers between the three dynamical regimes – small-scale turbulence, internal gravity waves and geostrophically balanced motion – are fundamental to the energy cycle of both the atmosphere and the ocean. Nonetheless, they remain poorly understood and quantified, and have yet to be adequately represented in today’s climate models.
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.
Keywords
- mathematical modelling .
- numerical simulation
- energy transfers
- small-scale turbulence
- internal gravity waves
- geostrophically balanced motion
- ocean
- atmosphere
- atmosphere circulation
- eddy-parameterisation
- gravity wave-parameterisation
- stochastic-parameterisation
- backscatter-parameterisation
- balanced flow
- unbalanced flow
Editors and Affiliations
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Center for Earth System Research and Sustainability (CEN), University of Hamburg, Hamburg, Germany
Carsten Eden
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Department of Mathematics, University of Hamburg, Hamburg, Germany
Armin Iske
About the editors
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.
Bibliographic Information
Book Title: Energy Transfers in Atmosphere and Ocean
Editors: Carsten Eden, Armin Iske
Series Title: Mathematics of Planet Earth
DOI: https://doi.org/10.1007/978-3-030-05704-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-05703-9Published: 05 February 2019
eBook ISBN: 978-3-030-05704-6Published: 23 January 2019
Series ISSN: 2524-4264
Series E-ISSN: 2524-4272
Edition Number: 1
Number of Pages: XVI, 312
Number of Illustrations: 33 b/w illustrations, 43 illustrations in colour
Topics: Computational Science and Engineering, Mathematical Applications in the Physical Sciences, Oceanography, Atmospheric Sciences, Math. Appl. in Environmental Science