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TitanSusbsurfaceOcean_EnergyBudget.pdf
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Abstract
The top boundary of the water-filled global ocean of Titan, Saturn's biggest moon, is an ice layer that is modelled herein as a visco-elastic material. The energy budget of inviscid flows taking place in the ocean is established, taking into account the potential energy associated with the top ice layer as well as the energy dissipated in it. Four types of flow models are examined, ranging from a three-dimensional, non-hydrostatic baroclinic representation, i.e. the most complex one, to the simplest one, which is represented by depth-integrated equations. For all the models, the time rate of change of the mechanical energy (the sum of the kinetic energy and the various types of potential energies) is due to the power dissipated in the top ice layer (i.e. in its “damping” component). The formulation of the kinetic and the potential energies depend on the flow model under consideration.
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Citations

Deleersnijder, E., & Vincent, D. (2020). On a simplified mechanical energy budget of Titan’s subsurface ocean: a fluid-structure interaction problem. https://hdl.handle.net/2078.5/95798