Quantifying transport in numerically generated velocity fields

Physica D: Nonlinear Phenomena

Volumn 110, Issue 1-2, 1997, Pages 105-122

  Miller, P D ^a   Jones, C K R T ^a   Rogerson, A M ^b   Pratt, L J ^b  

^a BROWN UNIVERSITY   (United States)

^b WOODS HOLE OCEANOGRAPHIC INSTITUTION   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22244477095     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(97)00115-2     Document Type: Article

References (29)

1. S. Balachandar and M.R. Maxey, Methods for evaluating fluid velocities in spectral simulations of turbulence, J. Comput. Phys. 83 (1) (1989) 96-125.
2. S. Balasuriya, C.K.R.T. Jones and B. Sandstede, Viscous perturbations of vorticity conserving flows and separatrix splitting, preprint.
3. D. Barkley, G.E. Karniadakis, I.G. Kevrekidis, Z. Shen and A.J. Smits, Chaotic advection in a complex annular geometry, Phys. Fluids A 3 (1991) 1063-1067.
4. D. Biegie, A. Leonard and S. Wiggins, Chaotic transport in the homoclinic and heteroclinic tangle regions of quasiperiodically forced two-dimensional dynamical systems, Nonlinearity 4 (1991) 775-819.
5. A. Bower, A simple kinematic mechanism for mixing fluid parcels across a meandering jet, J. Phys. Oceanography 21 (1) (1991) 173-180.
6. A. Bower and T. Rossby, Evidence of cross-frontal exchange processes in the gulf stream based on isopycnal rafos float data, J. Phys. Oceanography 19 (9) (1989) 1177-1190.
7. M.G. Brown and R.M. Samelson, Particle motion in vorticity-conserving, two-dimensional incompressible flows, Phys. Fluids 6 (9) (1994) 2875-2876.
8. R. Camassa and S. Wiggins, Chaotic advection in Rayleigh-Bénard flow, Phys. Rev. A 43 (2) (1991) 774-797.
9. D. del Castillo-Negrete and P.J. Morrison, Chaotic transport of Rossby waves in shear flow, Phys. Fluids A 5 (4) (1993) 948-965.
10. J. Duan and S. Wiggins, Fluid exchange across a meandering jet with quasiperiodic variability, J. Phys. Oceanography 26 (1996) 1176-1188.
11. J. Duan and S. Wiggins, Lagrangian transport and chaos in the near wake of a cylinder in the time-periodic regime: A numerical implementation of lobe dynamics, preprint.
12. S. Dutkiewicz, A. Griffa and D.B. Olson, Particle diffusion in a meandering jet, J. Geophys. Res. 98 (1993) 16487-16500.
13. G. Flierl, P. Malanotte-Rizzoli and N. Zabusky, Nonlinear waves and coherent vortex structures in barotropic β-plane jets, J. Phys. Oceanography 17 (9) (1987) 1408-1438.
14. D. Hobson, An efficient method for computing invariant manifolds of planar maps, J. Comput. Phys. 104 (1) (1993) 14-22.
15. T. Kaper and S. Wiggins, Lobe area in adiabatic Hamiltonian systems, Physica D 51 (1) (1991) 205-212.
16. M.S. Lozier, L.J. Pratt, A.M. Rogerson and P.D. Miller, Exchange geometry revealed by float trajectories in the Gulf Stream, J. Phys. Oceanography (1997), to appear.
17. R.S. MacKay, J.D. Meiss and I.C. Percival, Transport in Hamiltonian systems, Physica D 13 (1984) 55-81.
18. P. Miller, C.K.R.T. Jones, G. Haller and L. Pratt, Chaotic mixing across oceanic jets, in: Chaotic, Fractal and Nonlinear Signal Processing, ed. R. Katz, AIP Conf. Proc., Vol. 375 (AIP Press, New York, 1996) pp. 591-604.
19. J.M. Ottino, The Kinematics of Mixing: Stretching, Chaos, and Transport (Cambridge University Press, Cambridge, 1989).
20. L.J. Pratt, M.S. Lozier and N. Beliakova, Parcel trajectories in quasigeostrophic jets: Neutral modes, J. Phys. Oceanography 25 (6) (1995) 1451-1466.
21. W.H. Press, S.A. Teukolsky, W.T. Vetterling and B.P. Flannery, Numerical Recipes in C: The Art of Scientific Computing (Cambridge University Press, Cambridge, 1992).
22. A.M. Rogerson, P.D. Miller, L.J. Pratt, C.K.R.T. Jones and J. Biello, Chaotic mixing in a barotropic meandering jet, preprint.
23. V. Rom-Kedar, Homoclinic tangles - Classification and applications, Nonlinearity 7 (1994) 441-473.
24. V. Rom-Kedar, A. Leonard and S. Wiggins, An analytical study of transport, mixing and chaos in an unsteady vortical flow, J. Fluid Mech. 214 (1990) 347-394.
25. V. Rom-Kedar and S. Wiggins, Transport in two-dimensional maps, Arch. Rat. Mech. Anal. 109 (1990) 239-298.
26. R.M. Samelson, Fluid exchange across a meandering jet, J. Phys. Oceanography 22 (4) (1992) 431-440.
27. K. Shariff, T.H. Pulliam and J.M. Ottino, A dynamical systems analysis of kinematics in the time-periodic wake of a circular cylinder, in: Vortex Dynamics and Vortex Methods, eds. C. Anderson and C. Greengard, Lectures in Mathematics (American Mathematical Society, Providence, RI, 1992) pp. 613-646.
28. S. Wiggins, Chaotic Transport in Dynamical Systems, Interdisciplinary Applied Mathematics, Vol. 2 (Springer, Berlin, 1992).
29. H. Nusse and J. Yorke, Dynamics: Numerical Explorations (Springer, Berlin, 1994).