Inertial modes in a rotating triaxial ellipsoid.
- Vantieghem S Institut für Geophysik , ETH Zürich , Sonneggstrasse 5, 8092 Zürich, Switzerland.
- 2014-08-09
Published in:
- Proceedings. Mathematical, physical, and engineering sciences. - 2014
English
In this work, we present an algorithm that enables computation of inertial modes and their corresponding frequencies in a rotating triaxial ellipsoid. The method consists of projecting the inertial mode equation onto finite-dimensional bases of polynomial vector fields. It is shown that this leads to a well-posed eigenvalue problem, and hence, that eigenmodes are of polynomial form. Furthermore, these results shed new light onto the question whether the eigenmodes form a complete basis, i.e. whether any arbitrary velocity field can be expanded in a sum of inertial modes. Finally, we prove that two intriguing integral properties of inertial modes in rotating spheres and spheroids also extend to triaxial ellipsoids.
- Language
-
- English
- Open access status
- bronze
- Identifiers
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- DOI 10.1098/rspa.2014.0093
- PMID 25104908
- Persistent URL
- https://sonar.ch/global/documents/262341
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