Both the large-scale currents and the meso-scale eddies in the ocean are essentially balanced, with geostrophic or gradient-wind balances in the horizontal and hydrostatic balance in the vertical. Moreover, meso-scale eddies tend to transfer energy upward towards larger scales. This situation points to the challenging question of what are the ocean's routes to dissipation that are needed for the interior general circulation, including its related eddy field, to reach an equilibrium state in the presence of the constant atmospheric forcing. This subproject contributes to answering this question by exploring the route to dissipation via spontaneous wave generation: Eddying flows spontaneously emit internal waves. The waves, once generated, are refracted by the eddying flow, and may be captured later. Wave capture is characterised by an exponential increase in wavenumber and wave amplitude and an exponential decrease in the intrinsic group velocity. While capture is well understood theoretically for various types of flows, it is still open whether it occurs in the real ocean. By spontaneous emission and subsequent interaction with the emitted waves, energy is transferred from meso-scale eddies to smaller scales where instabilities and smallscale turbulence complete the downscale cascade to dissipation.
Quantifying this route to dissipation is central for the present CRC. Specically, this subproject aims to address the following questions:
- How important is the route to dissipation via spontaneous wave generation and wave capture?
- What are the key factors that control the internal wave emission by quasi-balanced and
eddying flows and the subsequent interaction between waves and flows?
- Is it possible to formally characterise the internal waves emitted by a turbulent geostrophic flow?
We will address these questions using a combination of theory, conceptual models with idealised configurations based on rotating shallow water equations, and existing and specially designed numerical experiments with an ocean general circulation model based on the primitive equations.
G. Badin, M. Oliver and S. Vasylkevych (2018). Geometric Lagrangian averaged Euler-Boussinesq and Primitive Equations, Journal of Physics A: Mathematical and Theoretical, 51, 455501, doi:10.1088/1751-8121/aae1cb
Dräger-Dietel, J., Jochumsen, K., Griesel, A., and Badin, G. (2018). Relative dispersion of surface drifters in the Benguela upwelling region. Journal of Physical Oceanography.
Franzke, C. L., Oliver, M., Rademacher, J. D., and Badin, G. (2018). Multi-scale methods for geophysical flows, Springer (in press).
Badin, G. and Barry, A., (2018) Collapse of generalized Euler and surface quasi-geostrophic point-vortices, Physical Review E, 98, 023110, doi.org/10.1103/PhysRevE.98.023110
Domeisen, D.I.V. , Badin, G. and Koszalka, I., (2018) How predictable are the Arctic and North Atlantic Oscillations? Exploring the variability and predictability of the Northern Hemisphere, Journal of Climate, 31, 997-1014, doi.org/10.1175/JCLI-D-17-0226.1
Conti, G., & Badin, G. (2017). Hyperbolic Covariant Coherent Structures in Two Dimensional Flows. Fluids 2017, 2(4), 50. doi: 10.3390/fluids2040050
Blender, R., & Badin, G. (2017).Construction of Hamiltonian and Nambu Forms for the Shallow Water Equations. Fluids 2017, 2 (2), doi:10.3390/fluids2020024.
Blender, R., & Badin, G. (2017). Viscous dissipation in 2D fluid dynamics as a symplectic process and its metriplectic representation. The European Physical Journal Plus, 132(3), 137.