Resonant excitation of coastal Kelvin waves in the two-layer rotating shallow water model
نویسندگان
چکیده
منابع مشابه
Resonant excitation of coastal Kelvin waves in the two-layer rotating shallow water model
Resonant excitation of coastal Kelvin waves by free inertia–gravity waves impinging on the coast is studied in the framework of the simplest baroclinic model: two-layer rotating shallow water with an idealized straight coast. It is shown that, with respect to the previous results obtained with the one-layer model, new resonances leading to a possible excitation of Kelvin waves appear. The most ...
متن کاملInstabilities of buoyancy-driven coastal currents and their nonlinear evolution in the two-layer rotating shallow water model. Part 2. Active lower layer
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 st...
متن کاملParticle dispersion by random waves in rotating shallow water
We present a theoretical and numerical study of wave-induced particle dispersion due to random waves in the rotating shallow-water system, as part of an ongoing study of particle dispersion in the ocean. Specifically, the effective particle diffusivities in the sense of Taylor (Proc. Lond. Math. Soc., vol. 20, 1921, p. 196) are computed for a small-amplitude wave field modelled as a stationary ...
متن کاملLaplace transform integration of the shallow water equations. Part 1: Eulerian formulation and Kelvin waves
A filtering integration scheme is developed, using a modification of the contour used to invert the Laplace transform (LT). It is shown to eliminate components with frequencies higher than a specified cut-off value. Thus it is valuable for integrations of the equations governing atmospheric flow. The scheme is implemented in a shallow water model with an Eulerian treatment of advection. It is c...
متن کاملA discussion on Neumann-Kelvin model for progressive water waves
This paper focus on the role of the capillary in the modelling and the analysis of progressive waves at the surface of the sea. It is proved that the classical Neumann-Kelvin model is fully instable and should be modified in order to be mechanically reliable. It is shown that the easiest way to take the capillary into account is to use a formulation where the normal displacement of the free sur...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nonlinear Processes in Geophysics
سال: 2013
ISSN: 1607-7946
DOI: 10.5194/npg-20-993-2013