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Fast spectral solutions of the double-gyre problem in a turbulent flow regime.
- Source :
-
Applied Mathematical Modelling . Feb2019, Vol. 66, p745-767. 23p. - Publication Year :
- 2019
-
Abstract
- Highlights • Developing a simplified model of the double-gyre problem based on layer-averaged Navier–Stokes equations. • Presenting multi-scale spectral solutions to the simplified double-gyre model. • Verification of the resulting spectral solutions with CABARET solutions of a quasi-geostrophic double-gyre model. • Validation of the spectral solutions for integral dynamic quantities and zonally averaged flow profiles. 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0307904X
- Volume :
- 66
- Database :
- Academic Search Index
- Journal :
- Applied Mathematical Modelling
- Publication Type :
- Academic Journal
- Accession number :
- 133439203
- Full Text :
- https://doi.org/10.1016/j.apm.2018.09.026