Rotational compressible inviscid flow with rolled vortex sheets. An analytical algorithm for the computation of the core
- 13 November 1980
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 101 (2) , 393-401
- https://doi.org/10.1017/s0022112080001711
Abstract
Previous work on irrotational incompressible inviscid flow (Guiraud & Zeytounian 1977) is extended to rotational and compressible flow. A formal proof is given that, within the core, one may avoid computing with the sheet by defining an equivalent continuous flow. One shows how the vorticity and the entropy gradient between the turns of the sheet are transported along trajectories of the equivalent continuous flow.Keywords
This publication has 4 references indexed in Scilit:
- A double-scale investigation of the asymptotic structure of rolled-up vortex sheetsJournal of Fluid Mechanics, 1977
- The Structure and Dynamics of Vortex FilamentsAnnual Review of Fluid Mechanics, 1975
- Discretization of a vortex sheet, with an example of roll-upJournal of Computational Physics, 1973
- An Asymptotic Solution for the Centre of a Rolled-up Conical Vortex Sheet in Compressible FlowAeronautical Quarterly, 1967