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Inertial Waves and Wave Excitation Mechanisms in Annular Cavities: Simulations, Experiments and Theory

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Recently, wave excitation mechanisms, wave attractors and the linkage to instabilities have been discussed in various geometries. Especially spherical shells have been heavily investigated, since they are of immediate importance for planetary flows. Also cylinders and annuli have been studied by many researchers due to the simpler geometry. However, spherical shells exhibit a large number of singularities in their mode spectrum in contrast to straight-walled cylinders and annuli. We therefore investigated annular geometries, whose perfect rectangular symmetry in the cross-sectional radial plane has been broken in order to recover the situation of a spherical shell in a controlled manner. To our knowledge, a comprehensive study of wave excitation mechanisms in such annular geometries has not yet been conducted. In order to contribute to the ongoing discussion of wave excitation mechanisms, we bring together numerical simulations, laboratory experiments and theoretical analysis.

Author(s):

Marten Klein    
Chair of Environmental Meteorology, Brandenburg University of Technology Cottbus
Germany

Ion Dan Borcia    
Chair of Aerodynamics and Fluid Mechanics, Brandenburg University of Technology Cottbus
Germany

Christoph Egbers    
Chair of Aerodynamics and Fluid Mechanics, Brandenburg University of Technology Cottbus
Germany

Abouzar Ghasemi V.    
Chair of Environmental Meteorology, Brandenburg University of Technology Cottbus
Germany

Uwe Harlander    
Chair of Aerodynamics and Fluid Mechanics, Brandenburg University of Technology Cottbus
Germany

Michael V. Kurgansky    
A. M. Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences
Russian Federation

Eberhard Schaller    
Chair of Environmental Meteorology, Brandenburg University of Technology Cottbus
Germany

Torsten Seelig    
Chair of Aerodynamics and Fluid Mechanics, Brandenburg University of Technology Cottbus
Germany

Andreas Will    
Chair of Environmental Meteorology, Brandenburg University of Technology Cottbus
Germany