Rigid Sets and Coherent Sets in Realistic Ocean Flows
| Autor: | Florian Feppon, Pierre Lermusiaux |
|---|---|
| Přispěvatelé: | Feppon, Florian, Department of Mathematics [ETH Zurich] (D-MATH), Eidgenössische Technische Hochschule - Swiss Federal Institute of Technology [Zürich] (ETH Zürich), Department of Mechanical Engineering [Massachusetts Institute of Technology] (MIT-MECHE), Massachusetts Institute of Technology (MIT) |
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
Realistic data
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS] [NLIN.NLIN-CD] Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD] [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD] LCS Rigid sets Lagrangian transport Arnoldi Iterations 14. Life underwater Ocean Modeling [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph] Koopman operator |
| Zdroj: | Nonlinear Processes in Geophysics Discussion |
| ISSN: | 2198-5634 1607-7946 |
| Popis: | This paper focuses on the extractions of Lagrangian Coherent Sets from realistic velocity fields obtained from ocean data and simulations, each of which can be highly resolved and non volume-preserving. We introduce two novel methods for computing two formulations of such sets. First, we propose a new “diffeomorphism-based” criterion to extract “rigid sets”, defined as sets over which the flow map acts approximately as a rigid transformation. Second, we develop a matrix-free methodology that provides a simple and efficient framework to compute “coherent sets” with operator methods. Both new methods and their resulting rigid sets and coherent sets are illustrated and compared using three numerically simulated flow examples, including a high-resolution realistic, submesoscale to large-scale dynamic ocean current field in the Palau Island region of the western Pacific Ocean. Nonlinear Processes in Geophysics Discussion ISSN:2198-5634 |
| Databáze: | OpenAIRE |
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