Generalized contour dynamics: A review

Llewellyn-Smith, Stefan, Chang, Ching, Chu, Tianyi, Blyth, Mark, Hattori, Yuji and Salman, Hayder (2018) Generalized contour dynamics: A review. Regular and Chaotic Dynamics, 23 (5). pp. 507-518. ISSN 1468-4845

Preview

PDF (Accepted manuscript) - Accepted Version Download (820kB) | Preview

Abstract

Contour dynamics is a computational technique to solve for the motion of vortices in incompressible inviscid flow. It is a Lagrangian technique in which the motion of contours is followed, and the velocity field moving the contours can be computed as integrals along the contours. Its best-known examples are in two dimensions, for which the vorticity between contours is taken to be constant and the vortices are vortex patches, and in axisymmetric flow for which the vorticity varies linearly with distance from the axis of symmetry. This review discusses generalizations that incorporate additional physics, in particular, buoyancy effects and magnetic fields, that take specific forms inside the vortices and preserve the contour dynamics structure. The extra physics can lead to time-dependent vortex sheets on the boundaries, whose evolution must be computed as part of the problem. The non-Boussinesq case, in which density differences can be important, leads to a coupled system for the evolution of both mean interfacial velocity and vortex sheet strength. Helical geometry is also discussed, in which two quantities are materially conserved and whose evolution governs the flow.

Item Type:	Article
Uncontrolled Keywords:	vortex dynamics,contour dynamics,vortex patch,vortex sheet,helical geometry
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Fluid and Solid Mechanics (former - to 2024) Faculty of Science > Research Groups > Quantum Fluids (former - to 2024) Faculty of Science > Research Groups > Centre for Photonics and Quantum Science Faculty of Science > Research Groups > Fluids & Structures Faculty of Science > Research Groups > Quantum Matter
Depositing User:	LivePure Connector
Date Deposited:	12 Sep 2018 11:32
Last Modified:	07 Nov 2024 12:40
URI:	https://ueaeprints.uea.ac.uk/id/eprint/68247
DOI:	10.1134/S1560354718050027

Downloads

Actions (login required)

View Item