Optimal two-layer approximation for continuous density stratification

DOI10.1017/S0022112010004891zbMath1225.76069MaRDI QIDQ3097701

Roxana Tiron, Roberto Camassa

Publication date: 10 November 2011

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

shallow water flowsinternal wavesstratified flows

Mathematics Subject Classification ID

Internal waves for incompressible inviscid fluids (76B55) Stratification effects in inviscid fluids (76B70)

Related Items (8)

An inertia ‘paradox’ for incompressible stratified Euler fluids ⋮ On the response of large-amplitude internal waves to upstream disturbances ⋮ A model for large-amplitude internal waves with finite-thickness pycnocline ⋮ Effects of inertia and stratification in incompressible ideal fluids: pressure imbalances by rigid confinement ⋮ Continuous dependence on the density for stratified steady water waves ⋮ Inertial, barotropic, and baroclinic instabilities of the Bickley jet in two-layer rotating shallow water model ⋮ Shear instability of internal solitary waves in Euler fluids with thin pycnoclines ⋮ A general description of a gravity current front propagating in a two-layer stratified fluid

Cites Work

• Solitary waves and conjugate flows in a three-layer fluid.
• A Computational Method for Solitary Internal Waves in a Continuously Stratified Fluid
• An Analytical Model of Large Amplitude Internal Solitary Waves
• Fully nonlinear periodic internal waves in a two-fluid system of finite depth
• Shear-induced breaking of large internal solitary waves
• Properties of large-amplitude internal waves
• Fully nonlinear solitary waves in a layered stratified fluid
• Fully nonlinear internal waves in a two-fluid system
• Conjugate flows and flat solitary waves for a continuously stratified fluid
• Internal travelling waves in the limit of a discontinuously stratified fluid.

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