Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 101, 2022 - Issue 15
Submit an article Journal homepage
1,299
Views
7
CrossRef citations to date
0
Altmetric
Research Article

The Ekman spiral for piecewise-constant eddy viscosity

L. RobertiFaculty of Mathematics, University of Vienna, Vienna, AustriaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0001-7678-7389View further author information
ORCID Icon
Pages 5528-5536 | Received 18 Dec 2020, Accepted 19 Feb 2021, Published online: 08 Mar 2021

References

  • Marshall J, Plumb RA. Atmosphere, ocean and climate dynamics: an introductory text. New York (NY): Academic Press; 2008.
  • Constantin A, Johnson RS. The dynamics of waves interacting with the equatorial undercurrent. Geophys Astrophys Fluid Dyn. 2015;109:311–358.
  • Ionescu-Kruse D, Martin CI. Periodic equatorial water flows from a Hamiltonian perspective. J Differ Equ. 2017;262:4451–4474.
  • Constantin A, Ivanov RI. Equatorial wave-current interactions. Comm Math Phys. 2019;370:1–48.
  • Constantin A, Johnson RS. Steady large-scale ocean flows in spherical coordinates. Oceanography. 2018;31:42–50.
  • Marynets K. A hyperbolic-type azimuthal velocity model for equatorial currents. Appl Anal. 2019. doi:10.1080/00036811.2020.1774054.
  • Marynets K. The modeling of the equatorial undercurrent using the Navier–Stokes equations in rotating spherical coordinates. Appl Anal. 2020. doi:10.1080/00036811.2019.1673375.
  • Ekman VW. On the influence of the Earth's rotation on ocean-currents. Ark Mat Astron Fys. 1905;2:1–52.
  • Constantin A. Frictional effects in wind-driven ocean currents. Geophys Astro Fluid. 2020;115(1):1–14.
  • Yoshikawa Y, Masuda A. Seasonal variations in the speed factor and deflection angle of the wind driven surface flow in the Tsushima Strait. J Geophys Res. 2009;114:C12022.
  • Röhrs J, Christensen KH. Drift in the uppermost part of the ocean. Geophys Res Lett. 2015;42:10349–10356.
  • Madsen OS. A realistic model of the wind-induced Ekman boundary layer. J Phys Oceanogr. 1977;7:248–255.
  • Grisogono B. A generalized Ekman layer profile with gradually varying eddy diffusivities. Quart J Roy Meteorol Soc. 1995;121:445–453.
  • Constantin A, Johnson RS. Atmospheric Ekman flows with variable eddy viscosity. Boundary Layer Meteorol. 2019;170:395–414.
  • Bressan A, Constantin A. The deflection angle of surface ocean currents from the wind direction. J Geophys Res Oceans. 2019;124:7412–7420.
  • Dritschel DG, Paldor N, Constantin A. The Ekman spiral for piecewise-uniform viscosity. Ocean Sci. 2020;16:1089–1093.
  • Vallis GK. Atmospheric and oceanic fluid dynamics. 2nd ed. Cambridge (UK): Cambridge University Press; 2017.
  • Wuang W, Huang RX. Wind energy input to the Ekman layer. J Phys Oceanogr. 2004;34:1267–1275.
  • Cronin MF, Kessler WS. Near-surface shear flow in the tropical Pacific cold tongue front. J Phys Oceanogr. 2009;39:1200–1215.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.