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Mathematics of Planet Earth Mathematics of Planet Earth Collection

Energy Transfers in Atmosphere and Ocean

Editors: Eden, Carsten, Iske, Armin (Eds.)

  • 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
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Buy this book

eBook 83,29 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: February 17, 2019
  • ISBN 978-3-030-05704-6
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 103,99 €
price for Spain (gross)
  • Due: February 17, 2019
  • ISBN 978-3-030-05703-9
  • Free shipping for individuals worldwide
  • The final prices may differ from the prices shown due to specifics of VAT rules
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.

About the authors

Carsten Eden is a full professor of theoretical oceanography at Universität Hamburg, Germany. He works on understanding the dynamics of the ocean circulation from the smallest to the largest scale and on parameterisations for ocean models.

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.

Buy this book

eBook 83,29 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: February 17, 2019
  • ISBN 978-3-030-05704-6
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 103,99 €
price for Spain (gross)
  • Due: February 17, 2019
  • ISBN 978-3-030-05703-9
  • Free shipping for individuals worldwide
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Energy Transfers in Atmosphere and Ocean
Editors
  • Carsten Eden
  • Armin Iske
Series Title
Mathematics of Planet Earth
Series Volume
1
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-05704-6
DOI
10.1007/978-3-030-05704-6
Hardcover ISBN
978-3-030-05703-9
Series ISSN
2524-4264
Edition Number
1
Number of Pages
XVI, 324
Number of Illustrations
17 b/w illustrations, 41 illustrations in colour
Topics