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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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*t*), whereas the second method (hereafter MxtUp) assumes that the IW field is periodic in x and t and composed solely of wave components with downward phase velocity. The two methods have been applied to synthetic Schlieren data collected in the CNRM large stratified water flume. Both methods succeed in reconstructing the density anomaly field. We identify and quantify the source of errors of both methods. A new method mixing the two approaches and combining their respective advantages is then proposed for the upward energy flux. The work presented in this article opens new perspectives for density and energy flux estimates from laboratory experiments data. Full article

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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 10 | Viewed by 5635

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

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*Fluids*2016,

*1*, 32.” Cited by 3 | Viewed by 3613

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*emergent*property of the Navier–Stokes equations, and hence that all forms of isopycnal surfaces—both neutral and not—are necessarily all human constructs. To establish the relevance of any particular construct to the actual ocean, an explicit model of stirring is needed to elucidate the nature of the dynamical/energetics constraints on lateral stirring. Even in the simplest model of stirring, neutral stirring represents only one possible mode out of a continuum of stirring modes responsible for lateral stirring in the ocean, without any evidence that it should dominate over the other ones. To help clarify the issues involved, it is proposed to regard the rigorous study of ocean stirring and mixing as relying on at least five distinct stages, from defining a model of stirring to constructing physically-based mixing parameterisations in numerical ocean models. Full article

*Fluids*2016,

*1*, 32 Cited by 6 | Viewed by 3666

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*adiabatic and isohaline parcel exchanges can only be meaningfully defined on material surfaces*” that are functions of only Absolute Salinity and Conservative Temperature and are not separately a function of pressure. We disagree with this assertion because there is no physical reason why the ocean should care about a globally-defined function of Absolute Salinity and Conservative Temperature that we construct. Rather, in order to understand and justify the concept of epineutral mixing, we consider the known physical processes that occur at the in situ pressure of the mixing. The Tailleux paper begins with two incorrect equations that ignore the transience of the ocean. These errors echo throughout Tailleux, leading to sixteen conclusions, most of which we show are incorrect. (Comment on Tailleux, R. Neutrality Versus Materiality: A Thermodynamic Theory of Neutral Surfaces.

*Fluids*2016,

*1*, 32, doi:10.3390/fluids1040032.) Full article

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