Stability and transport properties of multiple-patch quasiequilibria

Physics of Fluids

Volumn 16, Issue 10, 2004, Pages 3656-3669

  Schoemaker, R M ^a   Clercx, H J H ^a   van Heijst, G J F ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL ANALYSIS; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES; TRANSPORT PROPERTIES;

EULER EQUATIONS; VORTEX SOLUTIONS; VORTICAL CONFIGURATION;

VORTEX FLOW;

EULER FLOW; FLUID DYNAMICS; VORTEX;

EID: 7244242364     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1785111     Document Type: Article

References (19)

1. D. Crowdy, "A class of exact multipolar vortices," Phys. Fluids 11 2556 (1999).
2. D. A. Schecter, D. H. E. Dubin, K. S. Fine, and C. F. Driscoll, " Vortex crystals from 2D Euler flow: Experiment and simulation," Phys. Fluids 11, 905 (1999).
3. D. Durkin and J. Fajans, "Experiments on two-dimensional vortex patterns," Phys. Fluids 12, 289 (2000).
4. D. Durkin and J. Fajans, "Experimental dynamics of a vortex within a vortex," Phys. Rev. Lett. 85, 4052 (2000).
5. M. Amoretti, D. Durkin, J. Fajans, R. Pozzoli, and M. Romé, "Asymmetric vortex merger: Experiments and simulations," Phys. Plasmas 8, 3865 (2001).
6. D. Z. Jin and D. H. E. Dubin, "Point vortex dynamics within a background vorticity patch," Phys. Fluids 13, 677 (2001).
7. K. S. Fine, A. C. Cass, W. G. Flynn, and C. F. Driscoll, " Relaxation of 2D turbulence to vortex crystals," Phys. Rev. Lett. 75, 3277 (1995).
8. D. Crowdy and M. Cloke, "Stability analysis of a class of two-dimensional multipolar vortex equilibria," Phys. Fluids 14, 1862 (2002).
9. N. J. Zabusky, M. H. Hughes, and V. K. Roberts, "Contour dynamics for the Euler equations in two dimensions," J. Comput. Phys. 30, 96 (1979).
10. D. G. Dritschel, "Contour dynamics and contour surgery: Numerical algorithms for extended high-resolution modelling of vortex dynamics in two-dimensional, inviscid, incompressible flows," Comput. Phys. Rep. 10, 77 (1989).
11. G. K. Morikawa and E. V. Swenson, "Interacting motion of rectilinear geostrophic vortices," Phys. Fluids 14, 1058 (1971).
12. R. M. Schoemaker, "Contour dynamics for vortex-induced advection," Ph.D. thesis, Eindhoven University of Technology, Eindhoven, The Netherlands, 2003.
13. G. K. Batchelor, An Introduction to Fluid Mechanics (Cambridge University Press, Cambridge, 1967).
14. H. Aref, "Integrable, chaotic, and turbulent vortex motion in two-dimensional flows," Annu. Rev. Fluid Mech. 15, 345 (1983 ).
15. D. I. Pullin, "Contour dynamics methods," Annu. Rev. Fluid Mech. 24, 89 (1992).
16. P. W. C. Vosbeek, "Contour dynamics and applications to 2D vortices," Ph.D. thesis, Eindhoven University of Technology, Eindhoven, The Netherlands, 1998.
17. P. W. C. Vosbeek, H. J. H. Clercx, and R. M. M. Mattheij, " Acceleration of contour dynamics simulations with a hierarchical-element method," J. Comput. Phys. 161, 287 (2000).
18. D. G. Dritschel, "Contour surgery: a topological reconnection scheme for extended integrations using contour dynamics," J. Comput. Phys. 77, 240 (1988).
19. D. Crowdy, "Multipolar vortices and algebraic curves," Proc. R. Soc. London, Ser. A 457, 2337 (2001).