Skip to content

Research at St Andrews

Scale-invariant singularity of the surface quasigeostrophic patch

Research output: Contribution to journalArticle

DOI

Open Access Status

  • Embargoed (until 28/07/19)

Abstract

Numerical simulations of the surface quasigeostrophic patch indicate the development of a scale-invariant singularity of the boundary curvature in finite time, with some evidence of universality across a variety of initial conditions. At the time of singularity, boundary segments are shown to possess an exact and simple analytic form, described by branches of a logarithmic spiral centred on the point of singularity. The angles between the branches depend non-trivially on the shape of the smooth connecting boundary as the singularity is approached, but are independent of the global boundary.
Close

Details

Original languageEnglish
Article numberR2
Number of pages12
JournalJournal of Fluid Mechanics
Volume863
Early online date28 Jan 2019
DOIs
Publication statusPublished - 25 Mar 2019

    Research areas

  • Contour dynamics, Quasi-geostrophic flows

Discover related content
Find related publications, people, projects and more using interactive charts.

View graph of relations

Related by author

  1. Zonal jet formation by potential vorticity mixing at large and small scales

    Scott, R. K. & Dritschel, D. G., 2019, Zonal Jets: Phenomenology, Genesis and Physics. Galperin, B. & Read, P. L. (eds.). Cambridge University Press, p. 238-246

    Research output: Chapter in Book/Report/Conference proceedingChapter

  2. Vortex scaling ranges in two-dimensional turbulence

    Burgess, B. H., Dritschel, D. G. & Scott, R. K., Nov 2017, In : Physics of Fluids. 29, 11, 12 p., 111104.

    Research output: Contribution to journalArticle

Related by journal

  1. Journal of Fluid Mechanics (Journal)

    David Gerard Dritschel (Editor)
    2005 → …

    Activity: Publication peer-review and editorial work typesEditor of research journal

Related by journal

  1. On the regularity of the Green-Naghdi equations for a rotating shallow fluid layer

    Dritschel, D. G. & Jalali, M. R., 25 Apr 2019, In : Journal of Fluid Mechanics. 865, p. 100-136

    Research output: Contribution to journalArticle

  2. The stability and nonlinear evolution of quasi-geostrophic toroidal vortices

    Reinaud, J. N. & Dritschel, D. G., 25 Mar 2019, In : Journal of Fluid Mechanics. 863, p. 60-78

    Research output: Contribution to journalArticle

  3. Three-dimensional quasi-geostrophic vortex equilibria with m−fold symmetry

    Reinaud, J. N., 25 Mar 2019, In : Journal of Fluid Mechanics. 863, p. 32-59

    Research output: Contribution to journalArticle

ID: 257290738