Lagrangian descriptors in geophysical flows: a survey
This survey focuses on the application of Lagrangian descriptors to reveal the geometry of phase space structures that determine transport in dynamical systems. We present diverse formulations of the method and examine various applications of Lagrangian descriptors in geophysical fluids, such as atm...
| Autor: | |
|---|---|
| Tipo de documento: | artigo |
| Data de publicação: | 2025 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositório: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglês |
| OAI Identifier: | oai:upcommons.upc.edu:2117/427352 |
| Acesso em linha: | https://hdl.handle.net/2117/427352 https://dx.doi.org/10.1007/s40324-025-00382-y |
| Access Level: | Acceso aberto |
| Palavra-chave: | Differentiable dynamical systems Lagrangian descriptors Lagrangian coherent structures Phase space Geophysical flows Sistemes dinàmics diferenciables Classificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics |
| Resumo: | This survey focuses on the application of Lagrangian descriptors to reveal the geometry of phase space structures that determine transport in dynamical systems. We present diverse formulations of the method and examine various applications of Lagrangian descriptors in geophysical fluids, such as atmospheric flows and oceanic currents. The method of Lagrangian Descriptors has proven to be a powerful tool for characterizing transport and mixing in these contexts, demonstrating how these tools have enhanced our understanding of complex fluid dynamics in critical environments. |
|---|