In this paper we propose a stochastic model reduction procedure for deterministic equations from geophysical fluid dynamics. Once large-scale and small-scale components of the dynamics have been identified, our method consists in modelling stochastically the small scales and, as a result, we obtain that a transport-type Stratonovich noise is sufficient to model the influence of the small scale structures on the large scales ones. This work aims to contribute to motivate the use of stochastic models in fluid mechanics and identifies examples of noise of interest for the reduction of complexity of the interaction between scales. The ideas are presented in full generality and applied to specific examples in the last section.
|Titolo:||Stochastic modelling of small-scale perturbation|
|Data di pubblicazione:||2020|
|Settore Scientifico Disciplinare:||Settore MAT/06 - Probabilita' e Statistica Matematica|
|Parole Chiave:||Stochastic model reduction; Transport noise; Wong-Zakai principle|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.3390/w12102950|
|Appare nelle tipologie:||1.1 Articolo in rivista|