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Inertial waves propagation in the Earth Core-Tunneling effect at the tangent cylinder.
Through numerical simulations of planetary cores and subsurface oceans flows you will investigate the behaviour of inertial waves in presence of a internal shear layer. You will characterise how much energy is transmitted/reflected at the shear and how normal modes are affected.
Planetary liquid cores and subsurface oceans are rotating fluid layers, allowing **inertial waves** to propagate and interact in their interior. These waves are the rotating counter part of internal waves in stratified oceans, they transport angular momentum and participate to the mixing through non-linear mechanisms.
In case **an inner core** is present and in slight differential rotation with respect to the mantle, a **thin cylindrical shear layer** spawn away from the inner core equator parallel to the axis of rotation, separating the fluid domain into two regions of potentially different dynamics (see figure attached).
The goals of this project are twofolds:
1. Investigate the **behaviour of inertial waves as they cross the cylindrical shear**, in particular we aim at estimating the energy and angular momentum transmitted/reflected under various shear strength.
2. How does the **shear layer affect the structure and frequency of inertial modes** when the waves frequency matches the one of normal modes of the cavity?
To do so you will perform numerical simulations of a rotating spherical fluid shell with the inner boundary in slight super rotation and the outer shell undergoing oscillations around the axis of rotation, the so-called longitudinal librations. You will test two existing codes, carry the parameter survey and develop the tools to analyse the results. The preferred programming language is Python but Matlab is also possible. We are looking for a motivated student with a background in physics, fluid dynamics or geophysics and basic knowledges in programming and data analysis.
The project is a collaboration between Dr. Jerome Noir, faculty at ETH Zurich and Yufeng Lin, faculty at SusTech Shenzhen, China.
Planetary liquid cores and subsurface oceans are rotating fluid layers, allowing **inertial waves** to propagate and interact in their interior. These waves are the rotating counter part of internal waves in stratified oceans, they transport angular momentum and participate to the mixing through non-linear mechanisms.
In case **an inner core** is present and in slight differential rotation with respect to the mantle, a **thin cylindrical shear layer** spawn away from the inner core equator parallel to the axis of rotation, separating the fluid domain into two regions of potentially different dynamics (see figure attached).
The goals of this project are twofolds: 1. Investigate the **behaviour of inertial waves as they cross the cylindrical shear**, in particular we aim at estimating the energy and angular momentum transmitted/reflected under various shear strength. 2. How does the **shear layer affect the structure and frequency of inertial modes** when the waves frequency matches the one of normal modes of the cavity?
To do so you will perform numerical simulations of a rotating spherical fluid shell with the inner boundary in slight super rotation and the outer shell undergoing oscillations around the axis of rotation, the so-called longitudinal librations. You will test two existing codes, carry the parameter survey and develop the tools to analyse the results. The preferred programming language is Python but Matlab is also possible. We are looking for a motivated student with a background in physics, fluid dynamics or geophysics and basic knowledges in programming and data analysis.
The project is a collaboration between Dr. Jerome Noir, faculty at ETH Zurich and Yufeng Lin, faculty at SusTech Shenzhen, China.
The goals of this project are twofolds:
1. Investigate the behaviour of inertial waves as they cross this frontier, in particular we aim at estimating the energy and angular momentum transmitted/reflected under various shear strength.
2. How does the shear layer affect the structure and frequency of inertial modes when the waves frequency matches the one of normal modes of the cavity?
The goals of this project are twofolds: 1. Investigate the behaviour of inertial waves as they cross this frontier, in particular we aim at estimating the energy and angular momentum transmitted/reflected under various shear strength. 2. How does the shear layer affect the structure and frequency of inertial modes when the waves frequency matches the one of normal modes of the cavity?