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- Author or Editor: Moshe Israeli x
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Abstract
The stability of a stationary baroclinic Rossby wave embedded in a baroclinic zonal flow is investigated in the framework of the two-layer model. This investigation is relevant to the question of mountain-induced cyclogenesis, where such flow configurations may exist on the lee side of the topography. It is found that when the amplitude of the stationary Rossby wave is sufficiently large a flow which is stable upstream may become unstable downstream. The influence of the baroclinic shear is to reduce the growth rate of the instability in comparison to the corresponding barotropic case. Nonetheless the growth rates obtained can he significantly larger than those obtained for a baroclinic parallel zonal flow, possessing the same baroclinicity.
Abstract
The stability of a stationary baroclinic Rossby wave embedded in a baroclinic zonal flow is investigated in the framework of the two-layer model. This investigation is relevant to the question of mountain-induced cyclogenesis, where such flow configurations may exist on the lee side of the topography. It is found that when the amplitude of the stationary Rossby wave is sufficiently large a flow which is stable upstream may become unstable downstream. The influence of the baroclinic shear is to reduce the growth rate of the instability in comparison to the corresponding barotropic case. Nonetheless the growth rates obtained can he significantly larger than those obtained for a baroclinic parallel zonal flow, possessing the same baroclinicity.
Abstract
A scheme is presented for solving the equation for barotropic ocean circulation, taking into account the special character of the problem: nearly inviscid motion following f/H contours in the ocean interior, with viscous effects closing the flow near western boundaries. Using a special compact finite-difference discretization, the scheme generates boundary layers without spurious oscillations and without demanding very high resolution. Sharp changes in topography and closed f/H contours (e.g., in the vicinity of high sea mounts) are also handled by the scheme in a way that localizes errors due to underresolved topographic features. Strategies are formulated for simplifying the connectedness of the domain by “sinking” the islands.
Abstract
A scheme is presented for solving the equation for barotropic ocean circulation, taking into account the special character of the problem: nearly inviscid motion following f/H contours in the ocean interior, with viscous effects closing the flow near western boundaries. Using a special compact finite-difference discretization, the scheme generates boundary layers without spurious oscillations and without demanding very high resolution. Sharp changes in topography and closed f/H contours (e.g., in the vicinity of high sea mounts) are also handled by the scheme in a way that localizes errors due to underresolved topographic features. Strategies are formulated for simplifying the connectedness of the domain by “sinking” the islands.
Abstract
A finite-difference scheme for solving the linear shallow water equations in a bounded domain is described. Its time step is not restricted by a Courant–Friedrichs–Levy (CFL) condition. The scheme, known as Israeli–Naik–Cane (INC), is the offspring of semi-Lagrangian (SL) schemes and the Cane–Patton (CP) algorithm. In common with the latter it treats the shallow water equations implicitly in y and with attention to wave propagation in x. Unlike CP, it uses an SL-like approach to the zonal variations, which allows the scheme to apply to the full primitive equations. The great advantage, even in problems where quasigeostrophic dynamics are appropriate in the interior, is that the INC scheme accommodates complete boundary conditions.
Abstract
A finite-difference scheme for solving the linear shallow water equations in a bounded domain is described. Its time step is not restricted by a Courant–Friedrichs–Levy (CFL) condition. The scheme, known as Israeli–Naik–Cane (INC), is the offspring of semi-Lagrangian (SL) schemes and the Cane–Patton (CP) algorithm. In common with the latter it treats the shallow water equations implicitly in y and with attention to wave propagation in x. Unlike CP, it uses an SL-like approach to the zonal variations, which allows the scheme to apply to the full primitive equations. The great advantage, even in problems where quasigeostrophic dynamics are appropriate in the interior, is that the INC scheme accommodates complete boundary conditions.
