TY - GEN A1 - Xu, Wenchao A1 - Harlander, Uwe T1 - Inertial mode interactions in a rotating tilted cylindrical annulus with free surface T2 - Physical Review Fluids Y1 - 2020 UR - https://journals.aps.org/prfluids/abstract/10.1103/PhysRevFluids.5.094801 U6 - https://doi.org/10.1103/PhysRevFluids.5.094801 SN - 2469-990X VL - 5 IS - 9 ER - TY - CHAP A1 - Hoff, Michael A1 - Harlander, Uwe A1 - Triana, Santiago Andrés A1 - Egbers, Christoph T1 - Inertial modes and their transition to turbulence in a differentially rotating spherical gap flow T2 - European Geosciences Union, General Assembly 2016, Vienna, Austria, 17-22. April 2016 Y1 - 2016 UR - http://meetingorganizer.copernicus.org/EGU2016/EGU2016-6990.pdf N1 - EGU2016-6990 PB - European Geophysical Society CY - Katlenburg-Lindau ER - TY - CHAP A1 - Triana, Santiago Andrés A1 - Hoff, Michael A1 - Egbers, Christoph T1 - Inertial Modes driven by differential rotation in a spherical Couette configuration T2 - ICTW 19, Book of Abstracts, 19th International Couette-Taylor Workshop, June 24 - 26, 2015 Cottbus, Germany Y1 - 2015 SP - 84 EP - 85 CY - Cottbus ER - TY - GEN A1 - Klein, Marten A1 - Seelig, Torsten A1 - Kurgansky, Michael V. A1 - Ghasemi, Abouzar A1 - Borcia, Ion-Dan A1 - Will, Andreas A1 - Schaller, Eberhard A1 - Egbers, Christoph A1 - Harlander, Uwe T1 - Inertial wave excitation and focusing in a liquid bounded by a frustum and a cylinder T2 - Journal of Fluid Mechanics N2 - The mechanism of localized inertial wave excitation and its efficiency is investigated for an annular cavity rotating with Ω0 . Meridional symmetry is broken by replacing the inner cylinder with a truncated cone (frustum). Waves are excited by individual longitudinal libration of the walls. The geometry is non-separable and exhibits wave focusing and wave attractors. We investigated laboratory and numerical results for the Ekman number E ≈ 10−6. inclination α = 5.71◦ and libration amplitudes ε 0.2 within the inertial wave band 0 < ω < 2Ω0 . Under the assumption that the inertial waves do not essentially affect the boundary-layer structure, we use classical boundary-layer analysis to study oscillating Ekman layers over a librating wall that is at an angle α = 0 to the axis of rotation. The Ekman layer erupts at frequency ω = f∗, where f∗ ≡ 2Ω0 sin α is the effective Coriolis parameter in a plane tangential to the wall. For the selected inclination this eruption occurs for the forcing frequency ω/Ω0 = 0.2. For the librating lids eruption occurs at ω/Ω0 = 2. The study reveals that the frequency dependence of the total kinetic energy Kω of the excited wave field is strongly connected to the square of the Ekman pumping velocity wE (ω) that, in the linear limit, becomes singular when the boundary layer erupts. This explains the frequency dependence of non-resonantly excited waves. By the localization of the forcing, the two configurations investigated, (i) frustum libration and (ii) lids together with outer cylinder in libration, can be clearly distinguished by their response spectra. Good agreement was found for the spatial structure of low-order wave attractors and periodic orbits (both characterized by a small number of reflections) in the frequency windows predicted by geometric ray tracing. For ‘resonant’ frequencies a significantly increased total bulk energy was found, while the energy in the boundary layer remained nearly constant. Inertial wave energy enters the bulk flow via corner beams, which are parallel to the characteristics of the underlying Poincaré problem. Numerical simulations revealed a mismatch between the wall-parallel mass fluxes near the corners. This leads to boundary-layer eruption and the generation of inertial waves in the corners. KW - boundary-layer structure KW - geophysical and geological flows KW - waves in rotating fluids Y1 - 2014 U6 - https://doi.org/10.1017/jfm.2014.304 SN - 1750-6859 IS - vol. 751 SP - 255 EP - 297 ER - TY - CHAP A1 - Klein, Marten A1 - Ghasemi, Abouzar A1 - Harlander, Uwe A1 - Will, Andreas T1 - Inertial wave excitation and wave attractors in a librating annulus: DNS T2 - European Geosciences Union, General Assembly 2014, Vienna, Austria, 27 April – 02 May 2014 KW - boundary-layer structure KW - geophysical and geological flows KW - waves in rotating fluids KW - direct numerical simulations Y1 - 2014 N1 - EGU2014-15585 PB - European Geophysical Society CY - Katlenburg-Lindau ER - TY - THES A1 - Seelig, Torsten T1 - Inertial wave propagation, focusing and mean flow excitation : theory and experiments Y1 - 2014 SN - 978-3-95404-793-2 SN - 978-3-7369-4793-1 PB - Cuvillier CY - Göttingen ER - TY - CHAP A1 - Seelig, Torsten A1 - Borcia, Ion-Dan A1 - Klein, Marten A1 - Ghasemi, Abouzar A1 - Will, Andreas A1 - Egbers, Christoph A1 - Schaller, Eberhard A1 - Harlander, Uwe T1 - Inertial waves and wave attractors in a rotating annulus with inner or outer cylinder libration T2 - European Geosciences Union (EGU), 10th General Assembly, Vienna, Austria, 07 – 12 April 2013 Y1 - 2013 UR - http://meetingorganizer.copernicus.org/EGU2013/EGU2013-7602.pdf N1 - EGU2013-7602 ER - TY - CHAP A1 - Klein, Marten A1 - Borcia, Ion-Dan A1 - Egbers, Christoph A1 - Ghasemi, Abouzar A1 - Harlander, Uwe A1 - Kurgansky, Michael V. A1 - Schaller, Eberhard A1 - Seelig, Torsten A1 - Will, Andreas T1 - Inertial Waves and Wave Excitation Mechanisms in Annular Cavities: Simulations, Experiments and Theory T2 - European Turbulence Conference ETC14, Lyon, 2013 KW - boundary-layer structure KW - geophysical and geological flows KW - waves in rotating fluids Y1 - 2013 UR - http://etc14.ens-lyon.fr/etc-14-proceedings/accepted-talks ER - TY - GEN A1 - Borcia, Ion-Dan A1 - Harlander, Uwe T1 - Inertial waves in a rotating annulus with inclined inner cylinder: comparing the spectrum of wave attractor frequency bands and the eigenspectrum in the limit of zero inclination T2 - Theoretical and Computational Fluid Dynamics Y1 - 2013 U6 - https://doi.org/10.1007/s00162-012-0278-6 SN - 1432-2250 VL - 27 IS - 3-4 SP - 397 EP - 413 ER - TY - CHAP A1 - Koch, Sandy A1 - Harlander, Uwe A1 - Hollerbach, Rainer A1 - Egbers, Christoph T1 - Inertial waves in a rotating spherical shell: Comparison between numerical simulations and laboratory experiments T2 - European Geosciences Union (EGU), 9th General Assembly, Vienna, Austria, 22-27 April Y1 - 2012 UR - http://meetingorganizer.copernicus.org/EGU2012/EGU2012-7342.pdf N1 - EGU2012-7342 ER -