Contour dynamics/surgery on the sphere
type: Item
instance of: scholarly article
title: Contour dynamics/surgery on the sphere
zbMATH Open document ID: 0655.76018
DOI: 10.1016/0021-9991(88)90028-9
published in: Journal of Computational Physics
publication date: 1988-01-01T00:00:00Z
review text: This note derives remarkably simple equations governing the motion of an inviscid fluid of constant but negligible depth on the surface of a sphere and outlines an associated numerical algorithm. The algorithm offers an alternative approach for investigating idealised geophysical flows. Inviscid, incompressible flow on a spherical surface and on an infinite plane share the property that the vorticity normal to the surface is conserved on fluid particles. Material conservation of vorticity implies that one may consider the simple piecewise-constant subclass of vorticity distributions for which the boundaries of vorticity discontinuity or contours alone determine the dynamics of the flow.
Mathematics Subject Classification ID: 76B47
zbMATH DE Number: 4070493
zbMATH Keywords: Inviscid, incompressible flow
zbMATH Keywords: spherical surface
zbMATH Keywords: infinite plane
author: David G. Dritschel
MaRDI profile type: Publication
full work available at URL: 0021-9991(88)90028-9
OpenAlex ID: W2056721689
cites work: Contour surgery: A topological reconnection scheme for extended integrations using contour dynamics
cites work: The repeated filamentation of two-dimensional vorticity interfaces
cites work: Contour dynamics for the Euler equations in two dimensions
description: scientific article; zbMATH DE number 4070493