Johnson, ER and Esler, JG and Rump, OJ and Sommeria, J and Vilenski, GG (2006) Orographically generated nonlinear waves in rotating and non-rotating two-layer flow. P ROY SOC A-MATH PHY , 462 (2065) 3 - 20. 10.1098/rspa.2005.1550.
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This paper reports experimental observation of finite amplitude interfacial waves forced by a surface-mounted obstacle towed through a two-layer fluid both when the fluid is otherwise at rest and when the fluid is otherwise rotating as a solid body. The experimental apparatus is sufficiently wide so that sidewall effects are negligible even in near-critical flow when the towing speed is close to he interfacial long-wave speed and the transverse extent of the forced wavefield is large. The observations are modelled by a simple forced Benjamin-Davis-Acrivos equation and comparsion between integrations of both linear and nonlinear problems shows the fundamental nonlinearity of the near-critical flow patterns. In both the experiments and integrations rotation strongly confines the wavefield to extend laterally over distances only of order of the Rossby radius and also introduces finite-amplitude sharply pointed lee waves in supercritical flow.
|Title:||Orographically generated nonlinear waves in rotating and non-rotating two-layer flow|
|Keywords:||nonlinear waves, orography, two-layer rotating flow, forced rotating BDA equation, ATMOSPHERIC BOUNDARY-LAYER, INTERNAL GRAVITY-WAVES, TRAPPED DISTURBANCES, STRATIFIED FLUID, SOLITARY WAVES, WATER, TOPOGRAPHY, SIMULATIONS, SURFACE, CHANNEL|
|UCL classification:||UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics|
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