Vortex rings are produced during the ejection of fluid through a nozzle or orifice, which occurs in a wide range of biological conditions such as blood flow through the valves of the heart or through arterial constrictions. Confined vortex ring dynamics, such as these, have not been previously studied despite their occurrence within the biological flow conditions mentioned. In this work, we inv...

Here we study systematically the self-focusing dynamics and collapse of vortex Airy optical beams in a Kerr medium. The collapse is suppressed compared to a non-vortex Airy beam in a Kerr medium due to the existence of vortex fields. The locations of collapse depend sensitively on the initial power, vortex order, and modulation parameters. The collapse may occur in a position where the initial ...

We consider the evolution of an isolated anticyclonic vortex encountering a continental shelf during its westward β-drift in the framework of an equivalentbarotropic model generalized to allow for the intersection of the layer interface with a sloping bottom. The approaching vortex generates both topographic coastally trapped waves, and secondary cyclonic eddies due to off-shelf advection of wa...

An ensemble of a large number of vortex lines in cylindrical bounded domain is being considered. A system of equations determining the statistical characteristics of vortex line motion is derived from the assumption that this motion is ergodic and vortex lines are sufficiently smooth. The smoothness of vortex lines is characterized by vortex diffusivity. Both cases of finite and infinite vortex...

Background The vortex ring formed in the left ventricle (LV) of the human heart during early diastolic inflow (corresponding to the Doppler E-wave) contains information about the normal and pathophysiologic aspects of diastole. Previous studies suggest that the volume of the vortex ring is an important characteristic of vortex ring formation. However, due to lack of quantitative methods, vortex...

Active matter consists of units that generate mechanical work by consuming energy. Examples include living systems, such as assemblies bacteria and biological tissues, biopolymers driven molecular motors, suspensions synthetic self-propelled particles. A central question in the field is to understand control self-organization active space time. Most systems exhibit either spatial order mediated...

We investigate the connection between the equatorial Madden-Julian Oscillation (MJO) and different types of the Northern Hemisphere mid-winter major stratospheric sudden warmings (SSWs), i.e., vortex-displacement and vortex-split SSWs. The MJO-SSW relationship for vortex-split SSWs is stronger than that for vortex-displacement SSWs, as a result of the stronger and more coherent eastward propaga...

Vortex is a workflow language to support decision making activities. It centers around gathering and computing attributes of input objects. The semantics of Vortex is declarative, and the dependency graphs of Vortex programs are acyclic. This paper discusses the application of symbolic model checking techniques to verification of Vortex programs. As a case study we used a Vortex program MIHU fo...