Numerical computation of vortex sheet roll-up in the background shear flow

Fluid Dynamics Research

Volumn 17, Issue 4, 1996, Pages 195-212

  Sakajo, Takashi ^a   Okamoto, Hisashi ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CALCULATIONS; COMPUTER SIMULATION; EQUATIONS OF MOTION; INTEGRAL EQUATIONS; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; NUMERICAL METHODS; SHEAR FLOW; VORTEX FLOW;

CHORIN VORTEX BLOB METHOD; LINEAR ANALYSIS; VORTEX SHEETS;

COMPUTATIONAL FLUID DYNAMICS;

EID: 0030106584     PISSN: 01695983     EISSN: None     Source Type: Journal    
DOI: 10.1016/0169-5983(95)00030-5     Document Type: Article

References (10)

1. Krasny, R. (1986) A study of singularity formation in a vortex sheet by the point-vortex approximation, J. Fluid Mech. 167, 65-93.
2. Krasny, R. (1986) Desingularization of periodic vortex sheet roll-up, J. Comp. Phys. 65, 292-313.
3. Saffman, P.G. (1992) Vortex dynamics (Cambridge Univ. Press, Cambridge, MA).
4. Kiya, M. and M. Arie (1979) Helmholtz instability of a vortex sheet in uniform shear flow, Phys. Fluid 22, 378-379.
5. Krasny, R. (1988) Springer lecture notes in mathematics, Vol. 1360. Computation of vortex sheet roll-up, eds. C. Anderson and C. Greengard (Springer, Berlin) pp. 9-22.
6. Moore, D.W. (1979) The spontaneous appearance of a singularity in the shape of an evolving vortex sheet. Proc. R. Soc. A 365, 105-119.
7. Caflisch, R.E. and J.S. Lowengrub (1989) Convergence of the vortex method for vortex sheets, SIAM J. Numer. Anal. 26, 1060-1080.
8. Caflisch, R.E. (1991) Analysis for the evolution of vortex sheets, in: Vortex dynamics and vortex method, eds. C.R. Anderson and C. Greengard (American Mathematical Society) pp. 67-83.
9. Tryggvason, G., W.J.A. Dahm and K. Sbeih (1991) Fine structure of vortex sheet rollup by viscous and inviscid simulation, J. Fluids Eng. 113, 31-36.
10. Masuda, K. (1983) Blow-up of solutions of some nonlinear diffusion equations, in: Nonlinear PDE in applied science, eds. H. Fujita, P.D. Lax and G. Strang (North-Holland, Amsterdam) pp. 119-131.