balance, breakdown of balance, and generation of inertia–gravity waves in vortical flows are fundamental topics of prime importance in geophysical fluid dynamics. this research aims to find the optimum balance relation as well as the rossby-number variation of the spontaneous generation of inertia–gravity waves in a baroclinic, two-layer, boussinesq model on a doubly-periodic f-plane geometry f...

We perform a detailed analytical and numerical study of the dynamics of perturbations (vor-tex/aperiodic mode, Rossby and spiral-density waves) in 2D compressible disks with a Keplerian law of rotation. We draw attention to the process of spiral-density wave generation from vortices, discussing, in particular, the initial, most peculiar stages of wave emission. We show that the linear phenomeno...

in the present work properties of rossby and inertia gravity waves are investigated based on proper orthogonal decomposition (pod) functions. the pod functions are constructed using analytical, experimental or numerical data recorded as snapshots. the pod basis can be carried out to make a reduced order model by galerkin projection of governing equations onto these functions. in this paper, the...

Motivated by the observed potential vorticity structure of the stratospheric polar vortex, we study the dynamics of linear and nonlinear waves on a zonal vorticity interface in a two-dimensional barotropic flow on the surface of a sphere (interfacial Rossby waves). After reviewing the linear problem, we determine, with the help of an iterative scheme, the shapes of steadily propagating nonlinea...

This paper addresses the physics and numerical simulation of the adiabatic generation of infrasound by tornadoes. Classical analytical results regarding the production of infrasound by vortex Rossby waves and by corotating “suction vortices” are reviewed. Conditions are derived for which critical layers damp vortex Rossby waves that would otherwise grow and continually produce acoustic radiatio...

We find a linear instability of non-axisymmetric Rossby waves in a thin nonmagnetized Keplerian disk when there is a local maximum in the radial profile of a key function L(r) ≡ F(r)S2/Γ(r), where F−1 = ẑ · (∇× v)/Σ is the potential vorticity, S = P/ΣΓ is the entropy, Σ is the surface mass density, P is the vertically integrated pressure, and Γ is the adiabatic index. We consider in detail the ...