Transcritical flow of a stratified fluid: The forced extended Korteweg–de Vries model

DOI10.1063/1.1429962zbMath1184.76196OpenAlexW1967261878MaRDI QIDQ3555873

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Publication date: 22 April 2010

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1429962

zbMATH Keywords

wavessolitonsKorteweg-de Vries equationflow simulationstratified flow

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (11)

Nonautonomous solitons and Wronskian solutions for the \((3+1)\)-dimensional variable-coefficient forced Kadomtsev-Petviashvili equation in the fluid or plasma ⋮ Internal solitary waves generated by a moving bottom disturbance ⋮ Nonautonomous solitons for an extended forced Korteweg-de Vries equation with variable coefficients in the fluid or plasma ⋮ Orographically generated nonlinear waves in rotating and non-rotating two-layer flow ⋮ Multi-soliton solutions of the forced variable-coefficient extended Korteweg-de Vries equation arisen in fluid dynamics of internal solitary waves ⋮ TRANSCRITICAL FLOW PAST AN OBSTACLE ⋮ Two-dimensional leaps in near-critical flow over isolated orography ⋮ Two-layer hydraulic falls over an obstacle ⋮ INTERACTION OF A SOLITARY WAVE WITH AN EXTERNAL FORCE IN THE EXTENDED KORTEWEG–DE VRIES EQUATION ⋮ Steady transcritical flow over an obstacle: Parametric map of solutions of the forced extended Korteweg–de Vries equation ⋮ A general description of a gravity current front propagating in a two-layer stratified fluid

Cites Work

• Solitary wave transformation in a medium with sign-variable quadratic nonlinearity and cubic nonlinearity
• The extended Korteweg-de Vries equation and the resonant flow of a fluid over topography
• Coupled Korteweg–de Vries equations describing, to high-order, resonant flow of a fluid over topography
• A numerical study of nonlinear waves in a transcritical flow of stratified fluid past an obstacle
• Experimental study of interfacial solitary waves
• Internal capillary-gravity waves of a two-layer fluid with free surface over an obstruction—Forced extended KdV equation
• Resonant flow of a stratified fluid over topography
• Numerical simulations of uniformly stratified fluid flow over topography

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