Instabilities of coupled density fronts and their nonlinear evolution in the two-layer rotating shallow-water model: influence of the lower layer and of the topography

No abstract is available for this paper.

• Publication year

  2013

• Venue

  Journal of Fluid Mechanics

• Publication date

  2013-01-25

• Fields of study

  Physics, Environmental Science

• Identifiers
  DOI 10.1017/jfm.2012.556
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Moist vs dry baroclinic instability in a simplified two-layer atmospheric model with condensation and latent heat release

  2011cited by this paper
• A robust well-balanced scheme for multi-layer shallow water equations

  2010cited by this paper
• Instabilities of buoyancy-driven coastal currents and their nonlinear evolution in the two-layer rotating shallow water model. Part 2. Active lower layer

  2010cited by this paper
• Instability of coupled geostrophic density fronts and its nonlinear evolution

  2008cited by this paper
• Nonlinear adjustment of a front over escarpment

  2008cited by this paper
• Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes

  2008cited by this paper
• Singularity formation during relaxation of jets and fronts toward the state of geostrophic equilibrium

  2003cited by this paper
• Nonlinear theory of geostrophic adjustment. Part 1. Rotating shallow-water model

  2001cited by this paper
• Critical layer instability as a resonance between a non-singular mode and continuous modes

  1999cited by this paper
• Shear instability in shallow water

  1999cited by this paper
• A nonlinear critical layer generated by the interaction of free Rossby waves

  1998cited by this paper
• On the propagation of internal bores

  1997cited by this paper
• Rossby wave interaction in a shear flow with critical levels

  1996cited by this paper
• Stability of linear shear flows in shallow water

  1995cited by this paper
• General stability conditions for a multi-layer model

  1991cited by this paper
• Finite-Wavelength Instabilities of a Coupled Density Front

  1990cited by this paper
• Rossby-Kelvin instability: a new type of ageostrophic instability caused by a resonance between Rossby waves and gravity waves

  1989cited by this paper
• Instability and nonlinear evolution of a density-driven coastal current with a surface front in a two-layer ocean

  1988cited by this paper
• Instabilities of a two-layer coupled front

  1987cited by this paper
• On the stability of elliptical vortex solutions of the shallow-water equations

  1987cited by this paper
• Wave propagation and growth on a surface front in a two-layer geostrophic current

  1984cited by this paper
• Stability and stable modes of coastal fronts

  1983influential reference
• Character and stability of axisymmetric thermal convection in spheres and spherical shells. [model for heat transfer in planetary interiors

  1983cited by this paper
• Linear stability and stable modes of geostrophic fronts

  1983cited by this paper
• The intrusion of a density current along the coast of a rotating fluid

  1982cited by this paper
• Laboratory experiments on fronts

  1982cited by this paper
• Ageostrophic instability of ocean currents

  1982cited by this paper
• Laboratory experiments on fronts: Part I: Density-driven boundary currents

  1982cited by this paper
• Instabilities on density-driven boundary currents and fronts

  1982cited by this paper
• The role of negative energy waves in some instabilities of parallel flows

  1979cited by this paper
• On the trapping of waves along a discontinuity of depth in a rotating ocean

  1968cited by this paper
• Double Kelvin waves with continuous depth profiles

  1968cited by this paper

• Influence of Bottom Topography and Planetary β Effect on Vortex Instability

  2024cites this paper
• Instability of Lenticular Vortices: Results from Laboratory Experiments, Linear Stability Analysis and Numerical Simulations

  2021influential citation
• Integral-equation approach to resonances in circular two-layer flows around an island with bottom topography

  2020cites this paper
• Influence of Bottom Topography on Vortex Stability

  2019cites this paper
• Jet Instability over Smooth, Corrugated, and Realistic Bathymetry

  2019cites this paper
• On the stability of outcropping eddies in a constant‐PV ocean

  2016cites this paper
• Linear instability of constant PV cold‐core eddies in a two‐layer ocean

  2015cites this paper
• The stability of oceanic fronts in a shallow water model

  2015cites this paper