Open AccessToroidal free oscillations of a viscous liquid spherical shell with mixed boundary conditions
Author(s) -
Gleb Vodinchar
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2094/2/022035
Subject(s) - toroid , spherical shell , boundary value problem , eigenvalues and eigenvectors , physics , mechanics , shell (structure) , boundary (topology) , viscous liquid , normal mode , free surface , classical mechanics , mathematical analysis , mathematics , materials science , vibration , plasma , quantum mechanics , composite material
The problem of toroidal eigenmodes of free oscillations of a viscous fluid spherical shell is solved under mixed boundary conditions. These conditions are a combination of free surface conditions and solid boundary conditions. Such an artificial combination is used sometimes in the numerical simulation of geodynamo problem. The scheme for calculating the eigenmodes is described. It is shown that the use of mixed conditions leads to the disappearance of the first eigenmode with the smallest eigenvalue. A possible reason for this is the physical incorrectness of the mixed boundary conditions.