Fast spectral solutions of the double-gyre problem in a turbulent flow regime

Article

Naghibi, E., Karabasov, S. A., Jalali, M. A. and Sadati, S. M. H. 2019. Fast spectral solutions of the double-gyre problem in a turbulent flow regime. Applied Mathematical Modelling. 66, pp. 745-767. https://doi.org/10.1016/j.apm.2018.09.026
AuthorsNaghibi, E., Karabasov, S. A., Jalali, M. A. and Sadati, S. M. H.
Abstract

Several semi-analytical models are considered for a double-gyre problem in a turbulent flow regime for which a reference fully numerical eddy-resolving solution is obtained. The semi-analytical models correspond to solving the depth-averaged Navier–Stokes equations using the spectral Galerkin approach. The robustness of the linear and Smagorinsky eddy-viscosity models for turbulent diffusion approximation is investigated. To capture essential properties of the double-gyre configuration, such as the integral kinetic energy, the integral angular momentum, and the jet mean-flow distribution, an improved semi-analytical model is suggested that is inspired by the idea of scale decomposition between the jet and the surrounding flow.

KeywordsOcean modelling; Double-gyre; Galerkin approximation; Multi-scale
JournalApplied Mathematical Modelling
Journal citation66, pp. 745-767
ISSN1872-8480
Year2019
PublisherElsevier
Accepted author manuscript
License
File Access Level
Anyone
Digital Object Identifier (DOI)https://doi.org/10.1016/j.apm.2018.09.026
Publication dates
Online29 Sep 2018
Print16 Nov 2018
Publication process dates
Accepted20 Sep 2018
Deposited02 Jun 2023
FunderPartnership for Observation of Global Oceans
Scientific Committee for Oceanic Research
Natural Environment Research Council (NERC)
Copyright holder© 2018, The Author(s)
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