Sanson, Monsieur Augustin (2023) Solutions de transport optimal entropique des équations semi-géostrophiques PRE - Research Project, ENSTA.
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Abstract
This project will investigate a new numerical method for solving the equations of motion of the atmosphere, using an optimal transport formulation. The aim is to produce and analyse results obtained from a 2-D model showing the formation of fronts within the atmosphere. To do this, we will use new mathematical concepts that underpin the method, such as the semi-geostrophic equations, which are a model of frontogenesis in atmospheric science. As a result of new advances in the field of numerical optimal transport, discrete approximations on large scales are used here: entropic optimal transport and the Sinkhorn aglorithm will be studied. We will use the GeomLoss library developed by Jean Feydy, built on top of Torch. We will also use a GPU machine to produce the results, by connecting to the Imperial College London cluster.
| Item Type: | Thesis (PRE - Research Project) |
|---|---|
| Uncontrolled Keywords: | Semi-geostrophic equations, Sinkhorn, optimal transport, gradient, GPU |
| Subjects: | Mathematics and Applications Fluid Mechanics and Energy |
| ID Code: | 9657 |
| Deposited By: | Augustin SANSON |
| Deposited On: | 29 août 2023 09:29 |
| Dernière modification: | 29 août 2023 09:29 |
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