GeophysicalFlows.jl: Solvers for geophysical fluid dynamics problems in periodic domains on CPUs  GPUs

Constantinou, Navid C.; Wagner, Gregory LeClaire; Siegelman, Lia; Pearson, Brodie; Palóczy, André

doi:10.21105/joss.03053

Cited by 18 publications

(11 citation statements)

References 10 publications

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“…However, this theorem shows that stationary solutions without stagnation points are isolated from any non-shear stationary solution of the equations in C 1 (e.g. from cellular flow (47) and cat's-eyes (48)). It is important to emphasize that without the assumption of no stagnation points, shear flows are no longer isolated and that these statements depend strongly on topology.…”

Section: D Fluids: a Tale Of Isolation Wandering And Long-time Strifementioning

confidence: 99%

Singularity formation in the incompressible Euler equation in finite and infinite time

Drivas¹,

Elgindi²

2022

Preprint

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Section: D Fluids: a Tale Of Isolation Wandering And Long-time Strifementioning

confidence: 99%

Singularity formation in the incompressible Euler equation in finite and infinite time

Drivas¹,

Elgindi²

2022

Preprint

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“…The model is solved as an unforced initial value problem using a doubly periodic pseudospectral method provided by GeophysicalFlows.jl ( 16 ); the domain size is

. We use a trap radius

that is as large as possible, while still ensuring that there is minimal interaction between neighboring periodic domains.…”

Section: A Barotropic Qg Model Of Polar-cap Dynamicsmentioning

confidence: 99%

Polar vortex crystals: Emergence and structure

Siegelman

Young

Ingersoll

2022

Proc. Natl. Acad. Sci. U.S.A.

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Significance Vortex crystals, geometric arrays of like-signed vortices, are observed in natural systems with vastly different space and time scales: at the poles of Jupiter (∼10,000-km radius and lifetime of at least 5 y) and in laboratory experiments with pure-electron plasma (∼3.5-cm radius, lifetime of about 1.7 s). We follow the adage “less is more” and show that minimal physics is required for polar vortex crystals formation and persistence. Crystals, resembling those of Jupiter, form from the free evolution of an unstratified and rapidly rotating fluid in an axisymmetric geometry. An essential ingredient in this minimal model is the decrease of the vertical component of the Coriolis force with distance from the pole. Once formed, the crystal seems to survive indefinitely.

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“…Plots.jl is used for visualizations in scientific publications of different fields, such as numerics [28,3,8,10,13,20], mathematics [12], biology [2,5] and geology [9,11] as well as for teaching purposes [7,19].…”

Section: Usagementioning

confidence: 99%

Plots.jl -- a user extendable plotting API for the julia programming language

Christ¹,

Schwabeneder²,

Rackauckas³

2022

Preprint

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There are plenty of excellent plotting libraries in the world. Each one excels for a different use case: one is good for printed 2D publication figures, the other is good at interactive 3D graphics, another one has excellent L A T E X integration and one is good for creating dashboards on the web.The aim of Plots.jl is to enable the user to use the same syntax for many different plotting libraries, such that it is possible to change the used library without needing to touch the code that creates the content and having to learn yet another application programming interface (API) with different concepts. This is achieved by the separation of plot specification from the backend implementation. Together with a user extendable recipe system that allows users and package authors to create new plotting types from existing ones yields a high reuse potential. Plots.jl is publicly available at https://github. com/JuliaPlots/Plots.jl.

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GeophysicalFlows.jl: Solvers for geophysical fluid dynamics problems in periodic domains on CPUs GPUs

Cited by 18 publications

References 10 publications

Singularity formation in the incompressible Euler equation in finite and infinite time

Singularity formation in the incompressible Euler equation in finite and infinite time

Polar vortex crystals: Emergence and structure

Plots.jl -- a user extendable plotting API for the julia programming language

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