On the advection of tracer by eddies on the beta-plane: A numerical study by E. S. Benilov

“…To put this conclusion in quantitative terms, a "tracer variability indicator" is introduced and shown to grow much faster than a similar characteristic of the potential vorticity field (notwithstanding the fact that the tracer concentration and PV satisfy the same governing equation). …”
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An alternative view on the role of the β-effect in the Rossby wave propagation mechanism by Eyal Heifetz, Rodrigo Caballero

“…The role of the β-effect in the Rossby wave propagation mechanism is examined in the linearised shallow water equations directly in momentum–height variables, without recourse to potential vorticity (PV). Rigorous asymptotic expansion of the equations, with respect to the small non-dimensionalised β parameter, reveals in detail how the Coriolis force acting on the small ageostrophic terms translates the geostrophic leading-order solution to propagate westward in concert. …”
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Why is Alpine south foehn not associated with the formation of lee vortices? by Günther Zängl

“…Friction, which is usually neglected in idealized studies, tends to dampen orographically induced potential vorticity (PV) banners that may roll up into a closed vortex and thus hampers the formation of lee vortices. …”
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Three-Dimensional Numerical Study of the Effect of Protective Barrier on the Dispersion of the Contaminant in a Building by Chemseddine Maatki

“…The finite volume method and potential-vorticity vector formalism in their three-dimensional form were used to numerically study the impact of an adiabatic and impermeable vertical barrier on the dispersion of a local aero-contaminant due to the double-diffusive Rayleigh–Benard convection inside a cubic container. …”
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Overturning cells in the Southern Ocean and subtropical gyres by J. A. Polton, D. P. Marshall

“…The constraint can be interpreted either in terms of vertical fluxes of potential vorticity, or equivalently as an integral buoyancy budget for an imaginary fluid parcel recirculating around a closed Bernoulli contour. …”
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Diagnosis and numerical simulations of a heavy rain event in the Western Mediterranean Basin by D. Santos-Muñoz, M. L. Martín, M. Y. Luna, A. Morata

“…A set of mesoscale numerical simulations using MM5 is performed to investigate the mechanisms responsible for the convection development through several output diagnosis. A potential vorticity evolution showed how dry air masses were extruded from the stratospheric levels promoting strong cyclonic circulation at all levels. …”
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Characteristics of Nepartak (2021), a subtropical cyclone controlled by an upper‐tropospheric cutoff low by Kenta Irie, Tetsuya Takemi

“…An analysis of the potential vorticity (PV) tendency showed that the movement of Nepartak toward the COL ceased because of the counter‐balance of the horizontal/vertical PV advection with the PV anomaly generated by diabatic heating, whereas the surface cyclone northward motion was primarily due to the horizontal PV advection associated with the COL. …”
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Jovian Vortices and Jets by Flierl, Glenn R, Morrison, Philip J, Vilasur Swaminathan, Rohith

“…Various cases of vortices with a constant potential vorticity anomaly atop zonal winds and the stability of the underlying winds are considered using a mix of computational and analytical techniques.…”
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Assessing eddy parameterization schemes in a differentially heated rotating annulus experiment by Perez-Perez, E, Read, P, Moroz, I

“…Depending on the stages of flow evolution and on the region in parameter space under consideration, either heat, quasi-geostrophic potential vorticity (QGPV) or relative vorticity (QGRV) may become a suitable variable on which to parameterize baroclinic eddy fluxes in a down-gradient manner. …”

Overturning cells in the Southern Ocean and subtropical gyres by Polton, J, Marshall, D

“…The constraint can be interpreted either in terms of vertical fluxes of potential vorticity, or equivalently as an integral buoyancy budget for an imaginary fluid parcel recirculating around a closed Bernoulli contour. …”

Analysis of a rapid increase of stratospheric ozone during late austral summer 2008 over Kerguelen (49.4° S, 70.3° E) by H. Bencherif, L. El Amraoui, G. Kirgis, J. Leclair De Bellevue, A. Hauchecorne, N. Mzé, T. Portafaix, A. Pazmino, F. Goutail

“…The assimilated total O<sub>3</sub> values are consistent with SAOZ ground observations (within ±5%), and isentropic distributions of O<sub>3</sub> match well with maps of advected potential vorticity (APV) derived from the MIMOSA model, a high-resolution advection transport model, and from the ECMWF reanalysis. …”
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Study of tropical cyclone "Fanoos" using MM5 model – a case study by S. Ramalingeswara Rao, K. Muni Krishna, O. S. R. U. Bhanu Kumar

“…Secondly "Fanoos" development from the lagrangian stand point in terms of vertical distribution of Potential Vorticity (PV) is also carried out around cyclone centre.…”
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Sensitivity of an idealized subtropical gyre to the eastern boundary conditions by I. Láiz, P. Sangrà, J. L. Pelegrí, A. Marrero-Díaz

“…The corresponding boundary conditions are non-zero normal flux and constant potential vorticity, the latter being consistent with the generation of anticyclonic vorticity by the coastal jet. …”
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Seasonal stratospheric intrusion of ozone in the upper troposphere over India by S. Fadnavis, T. Chakraborty, G. Beig

“…Observed enhanced O₃ mixing ratio in the upper troposphere is explained by, variation of Potential Vorticity (PV), tropopause pressure, relative humidity and CO-O₃ correlation.…”
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On the Dynamics of Canyon–Flow Interactions by Jochen Kämpf

“…Hence, the principle of conservation of potential vorticity for such flows is sufficient to explain the fundamental physical properties of the canyon-upwelling process. …”
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Generation of large-scale intrusions at baroclinic fronts: an analytical consideration with a reference to the Arctic Ocean by N. Kuzmina

“…The analysis is based on the potential-vorticity equation in a long-wave approximation when the horizontal scale of disturbances is considered much larger than the local baroclinic Rossby radius. …”
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Mesoscale dynamics, structure and predictability of a severe Adriatic bora case by Danijel Belusić, Zvjezdana Bencetić Klaić

“…The model reproduced well the onset and the strength of the investigated bora, as well as the establishment of bora-induced potential vorticity (PV) banners. On the other hand, surface turbulent kinetic energy (T K E) was poorly predicted. …”
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On the dynamics of wind-driven circumpolar currents by Tansley, C, Marshall, D

“…At the latitudes of Drake Passage, potential vorticity contours are uninterrupted by coastlines, and large amplitude flows are possible even with weak forcing and dissipation. …”

QUAGMIRE v1.3: a quasi-geostrophic model for investigating rotating fluids experiments by Williams, P, Haine, T, Read, P, Lewis, S, Yamazaki, Y

“…The flow is forced either by a differentially rotating lid, or by relaxation to specified streamfunction or potential vorticity fields, or both. Dissipation is achieved through Ekman layer pumping and suction at the horizontal boundaries, including the internal interface. …”

QUAGMIRE v1.3: a quasi-geostrophic model for investigating rotating fluids experiments by Williams, P, Haine, T, Read, P, Lewis, SR, Yamazaki, Y

“…The flow is forced either by a differentially rotating lid, or by relaxation to specified streamfunction or potential vorticity fields, or both. Dissipation is achieved through Ekman layer pumping and suction at the horizontal boundaries, including the internal interface. …”