|Institution:||Department Mathematics/Computer Science, University of Bremen|
Equatorial quasi-geostrophic balances, dissipation and nonlinear waves
In the analysis of geophysical flow problems we investigate different dynamical flow regimes by separating the motion into various spatial and temporal scales. For a better undestanding of the flow and the prediction of weather and climate it is important to investigate the flow phenomena in these different scale regimes. The large scale motions are of greatest interest in the study of geophysical flow, but if we consider energy consistency and dissipation of energy, we cannot neglect the small scale regimes. With better understanding of the energy transfer through different scale regimes we can build the basis for improved numerical weather and climate prediction models.
In my PhD-project I investigate nonlinear waves in geophysical flow models, which bifurcate from linear waves, such as Rossby and gravity waves. I also analyse other dynamic properties such as stability and nonlinear interactions in the different model hierarchies. One focus lies on dissipative equatorial balanced models, since large scale is particularly relevant in the tropics.
Additionally I study the effects of different forms of dissipation on the solution structure. To improve the energy consistency I also plan to analyse energetically consistent dissipation parameterisations.
I begin the studies with simple single layer models. Then I plan to move on to stratified fluids and possibly to spherical geometry.
This project is part of the mathematical subproject M2 of TRR 181 ''Energy Transfers in Atmosphere and Ocean''.
|Prof. Dr. Jens Rademacher||University of Bremen|
|Prof. Dr. Marcel Oliver||Jacobs University Bremen|
|Jun.-Prof. Dr. Gualtiero Badin||University of Hamburg|