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

Naghibi, S. E ; Sharif University of Technology | 2019

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  1. Type of Document: Article
  2. DOI: 10.1016/j.apm.2018.09.026
  3. Publisher: Elsevier Inc , 2019
  4. Abstract:
  5. 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. © 2018 Elsevier Inc
  6. Keywords:
  7. Double-gyre ; Galerkin approximation ; Multi-scale ; Ocean modelling ; Angular distribution ; Galerkin methods ; Kinetic energy ; Kinetics ; Navier Stokes equations ; Turbulent flow ; Eddy viscosity model ; Galerkin approximations ; Semi-analytical model ; Spectral solutions ; Turbulent diffusion ; Analytical models
  8. Source: Applied Mathematical Modelling ; Volume 66 , 2019 , Pages 745-767 ; 0307904X (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0307904X18304682