Contour surgery: A topological reconnection scheme for extended integrations using contour dynamics

David G. Dritschel*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

201 Citations (Scopus)

Abstract

A numerical algorithm is described which, it is believed, can accurately model the dynamics of a two-dimensional, inviscid, incompressible fluid with unparalled spatial resolution. The fluid is assumed, however, to be divided into regions of uniform vorticity, conservation of vorticity ensuring that this remains true for all time. Like contour dynamics, the algorithm is concerned with following the evolution of the boundaries of vorticity discontinuity (contours). Unlike contour dynamics, the algorithm automatically removes vorticity features smaller than a predefined scale. For example, two contours enclosing the same uniform vorticity merge into one if they are close enough together. Also, the curvature along a contour is not allowed to exceed the inverse of the cutoff scale. At present, calculations with contour surgery resolve fluid motions extending over four to five orders of magnitude of scales (13 to 20 octaves). Such high-resolution pictures of two-dimensional vortex dynamics have been facilitated by and indeed depend critically upon a nonlocal adaptive node adjustment scheme, and a variety of tests quantify the accuracy of the technique.

Original languageEnglish
Pages (from-to)240-266
Number of pages27
JournalJournal of Computational Physics
Volume77
Issue number1
DOIs
Publication statusPublished - 1 Jan 1988

Fingerprint

Dive into the research topics of 'Contour surgery: A topological reconnection scheme for extended integrations using contour dynamics'. Together they form a unique fingerprint.

Cite this