Analysis of singular inertial modes in a spherical shell: the slender toroidal shell model

DOI10.1017/S0022112002008881zbMath1018.76046OpenAlexW2106964427MaRDI QIDQ4786766

Bertrand Georgeot, Michel Rieutord, Lorenzo Valdettaro

Publication date: 15 September 2003

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112002008881

zbMATH Keywords

eigenvalueseigenfunctionsSchrödinger equationspherical shellquadratic potentialasymptotic spectrumslender toroidal shell modeltrapping inertial waves

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) General theory of rotating fluids (76U05)

Related Items (11)

Enumeration, orthogonality and completeness of the incompressible Coriolis modes in a sphere ⋮ Numerical solution of the two-dimensional Poincaré equation ⋮ Axisymmetric inertial modes in a spherical shell at low Ekman numbers ⋮ Inertial wave attractors in librating cuboids ⋮ Internal shear layers in librating spherical shells: the case of attractors ⋮ Inertial wave super-attractor in a truncated elliptic cone ⋮ Observations on the wavenumber spectrum and evolution of an internal wave attractor ⋮ Viscous dissipation by tidally forced inertial modes in a rotating spherical shell ⋮ Numerical simulation of a two-dimensional internal wave attractor ⋮ Internal shear layers in librating spherical shells: the case of periodic characteristic paths ⋮ Damping of quasi-two-dimensional internal wave attractors by rigid-wall friction

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