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Acoustic and inertial modes in planetary-like rotating ellipsoids
1Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK.
Proceedings. Mathematical, Physical, and Engineering Sciences
|August 25, 2020
Summary
Compressibility significantly alters inertial modes in rotating planetary fluid interiors. This study introduces a new method to model these effects, crucial for understanding planetary dynamics.
Area of Science:
- Geophysics
- Fluid Dynamics
- Planetary Science
Background:
- Rotating fluid ellipsoids offer insights into planetary interiors.
- Inertial modes are key in rapidly rotating fluids.
- Previous models often overlooked density variations.
Purpose of the Study:
- To develop a method for computing inertial modes in compressible fluid ellipsoids.
- To investigate the impact of compressibility on these modes.
- To enable more accurate modeling of planetary interiors.
Main Methods:
- A Galerkin method using global polynomial description.
- Application to rigid, coreless, compressible, rotating, and diffusionless fluids.
- Benchmarking against finite-element computations.
Main Results:
- Successfully computed normal modes for compressible fluids.
- Demonstrated significant modification of quasi-geostrophic inertial modes by compressibility.
- Validated the method against existing computational techniques.
Conclusions:
- Compressibility is a critical factor in modeling planetary fluid dynamics.
- The developed method provides a new tool for studying planetary interiors.
- Reduced dynamical models can be built using these normal modes.
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