Instabilities of buoyancy-driven coastal currents and their nonlinear evolution in the two-layer rotating shallow water model. Part 2. Active lower layer

@article{Gula2010InstabilitiesOB,
  title={Instabilities of buoyancy-driven coastal currents and their nonlinear evolution in the two-layer rotating shallow water model. Part 2. Active lower layer},
  author={Jonathan Gula and Vladimir Zeitlin and François Bouchut},
  journal={Journal of Fluid Mechanics},
  year={2010},
  volume={665},
  pages={209 - 237}
}
This paper is the second part of the work on linear and nonlinear stability of buoyancy-driven coastal currents. Part 1, concerning a passive lower layer, was presented in the companion paper Gula & Zeitlin (J. Fluid Mech., vol. 659, 2010, p. 69). In this part, we use a fully baroclinic two-layer model, with active lower layer. We revisit the linear stability problem for coastal currents and study the nonlinear evolution of the instabilities with the help of high-resolution direct numerical… Expand
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References

SHOWING 1-10 OF 64 REFERENCES
Instabilities of buoyancy-driven coastal currents and their nonlinear evolution in the two-layer rotating shallow-water model. Part 1. Passive lower layer
Buoyancy-driven coastal currents, which are bounded by a coast and a surface density front, are ubiquitous and play essential role in the mesoscale variability of the ocean. Their highly unstableExpand
Instabilities of two-layer shallow-water flows with vertical shear in the rotating annulus
Being motivated by the recent experiments on instabilities of the two-layer flows in the rotating annulus with super-rotating top, we perform a full stability analysis for such system in theExpand
Instability and nonlinear evolution of a density-driven coastal current with a surface front in a two-layer ocean
Abstract Coupled equations describing the nonlinear evolution of a disturbance in a two-layer coastal current with a surface front are derived by assuming that the alongshore scale of the disturbanceExpand
Stability of a coastal upwelling front: 2. Model results and comparison with observations
A two-layer shallow water equation model is used to investigate the linear stability of a coastal upwelling front. The model features a surface front parallel to a coastal boundary and bottomExpand
Development of perturbations on a buoyant coastal current
  • Olof Dahl
  • Physics
  • Journal of Fluid Mechanics
  • 2005
The dynamics of small perturbations on a buoyant coastal current is investigated. The system is described using a one and a half-layer model where the active upper layer vanishes at a certainExpand
Shortwave instabilities of coastal currents
Abstract The finite-wavelength instability of a two-layer, inviscid coastal current is investigated numerically over a wide range of parameters, and verified analytically in a simple limiting case.Expand
Instability of coupled geostrophic density fronts and its nonlinear evolution
Instability of coupled density fronts, and its fully nonlinear evolution are studied within the idealized reduced-gravity rotating shallow-water model. By using the collocation method, we benchmarkExpand
Stability of a coastal upwelling front: 1. Model development and a stability theorem
A two-layer shallow water equation model is used to investigate the linear stability of a coastal upwelling front. The model features a surface front parallel to a coastal boundary and bottomExpand
Amplitude–Wavelength Relations of Nonlinear Frontal Waves on Coastal Currents
Abstract Nonlinear, dispersive perturbations are applied to a single layer, geostrophic, density current of zero potential vorticity, which flows along a vertical wall (coast) and is bounded by aExpand
On the stability of ocean overflows
The stability of a hydraulically driven sill flow in a rotating channel with smoothly varying cross-section is considered. The smooth topography forces the thickness of the moving layer to vanish atExpand
...
1
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3
4
5
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