We study the phase-space behaviour of nearby trajectories in integrable potentials. We show that the separation of nearby orbits initially diverges very fast, mimicking a nearly exponential behaviour, while at late times it grows linearly. This initial exponential phase, known as Miller’s instability, is commonly found in N-body simulations, and has been attributed to short-term (microscopic) N...

the spontaneous generation of inertia–gravity waves (igws) in the idealized simulation of vortical flows is investigated using the isentropic two-layer model on a sphere. the contour-advective semi-lagrangian (casl) algorithm is applied to solve the primitive equations using the potential vorticity (pv), velocity divergence, and acceleration divergence as the prognostic variables. the casl algo...

The construction of black hole spacetimes that are regular (singularity-free) is plagued by the ``mass inflation'' instability, a classical perturbation instability induced surface gravity at inner horizon and characterized exponentially diverging stress energy there. Recently, class ``inner-extremal'' holes was proposed possesses vanishing therefore avoids mass inflation, while still maintaini...

The flow around a tethered cylinder subjected to an incoming flow transverse to its main axis and confined in a channel is investigated by means of global stability analysis of the full coupled body–fluid problem. When the cylinder is strongly confined (ratio of cylinder diameter to cell height, D/H = 0.66) we retrieve the confinement-induced instability (CIV) discovered by Semin et al. (J. Flu...

Synoptic situations producing rainfall at four rawinsonde observatories at eastern Spain are classified as stratiform or convective depending on dynamic and thermodynamic instability indices. Two daily radiosonde and daily-accumulated precipitation data from four observatories in Eastern Spain are used: Madrid-Barajas (MB), Murcia (MU), Palma de Mallorca (PA) and Zaragoza (ZA). We calculated tw...

Velocity data from an array of acoustic Doppler current profilers moored about 0 , 140 W from May 1990 through June 1991 during the Tropical Instability Wave Experiment are used in conjunction with Tropical Atmosphere-Ocean array data and a blended sea surface temperature (SST) product to study the processes that control SST variations. The horizontal velocity data allow us to calculate the ver...

To better understand the triggering mechanisms of extreme precipitation events in Central Asia due to complex terrain, a case study topographic blizzard that occurred Xinjiang Province on 30 November 2018 is conducted. The near-surface wind field decomposed into flow-around and flow-over components analyze dynamic thermodynamic effects flow around over topography Ili River valley northern slope...