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# Geophysical Fluid Dynamics (Closed)

A topical collection in *Fluids* (ISSN 2311-5521). This collection belongs to the section "Geophysical and Environmental Fluid Mechanics".

## Editor

**Interests:**geophysical fluid dynamics; ocean circulation and modelling; nonlinear processes; geophysical turbulence and waves

Special Issues, Collections and Topics in MDPI journals

## Topical Collection Information

Dear Colleagues,

Geophysical Fluid Dynamics (GFD) is a relatively young, but rapidly growing, branch of fluid mechanics that deals with a great variety of complex multiscale flow patterns and distributions of material properties arising in planetary atmospheres and oceans. These flow patterns are typically controlled by planetary rotation, various boundary conditions, and ubiquitous fluid density gradients. They interact with each other and combine on large scales to establish the climate. GFD employs mathematical analysis and computational modeling to deal with fundamental aspects, analyses and, ultimately, interpretations of the observed phenomena. To a large degree, the observed complexity of geophysical motions is due to the nonlinearity of the fluid dynamics, which connects GFD research with other branches of fluid mechanics. The Special Issue, “Geophysical Fluid Dynamics”, of the journal welcomes your new research contributions to the field.

Prof. Dr. Pavel S. Berloff

*Collection Editor*

**Manuscript Submission Information**

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## Keywords

- nonlinear dynamics
- general circulation of atmospheres and oceans
- geophysical turbulence, vortices and waves
- parameterizations of small-scale processes
- material transport and mixing
- hydrodynamic instabilities
- buoyancy driven processes
- boundary layer processes

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*ellipse/flow equivalence*, provides a stronger version of the well-known result that a linear velocity field maps an ellipse into another ellipse. Moreover, ellipse/flow equivalence is shown to be a manifestation of Stokes’ theorem. This is done by deriving a matrix-valued extension of the classical Stokes’ theorem that involves a spatial integral over the velocity gradient tensor, thus accounting for the two strain terms in addition to the divergence and vorticity. General expressions for various physical properties of an elliptical ring of fluid are also derived. The ellipse kinetic energy is found to be composed of three portions, associated respectively with the circulation, the rate of change of the moment of inertia, and the

*variance*of parcel angular velocity around the ellipse. A particular innovation is the use of four matrices, termed the

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*β*-Plane Turbulence Cited by 12 | Viewed by 5776

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*no*mixing to the point where that background wavefield defines the normalization for oceanic mixing models. Full article