Sanson, Monsieur Augustin (2023) Solutions de transport optimal entropique des équations semi-géostrophiques PRE - Research Project, ENSTA.
Full text not available from this repository.
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
|Deposited By:||Augustin SANSON|
|Deposited On:||29 août 2023 09:29|
|Dernière modification:||29 août 2023 09:29|
Repository Staff Only: item control page