Quasi-stationary states in a circular geometry

Physica D: Nonlinear Phenomena

Volumn 238, Issue 14, 2009, Pages 1129-1142

  Keetels, G H ^a   Clercx, H J H ^a,b   van Heijst, G J F ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

Angular momentum; Final states; Minimum enstrophy; No slip walls; Spin up

Indexed keywords

PHYSICS;

CIRCULAR GEOMETRY; ENSTROPHY; FINAL STATE; NO SLIPS; QUASI-STATIONARY; QUASI-STATIONARY STATE; SPIN-UP; TWO DIMENSIONAL TURBULENCE;

ANGULAR MOMENTUM;

EID: 66049100990     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2009.03.011     Document Type: Article

References (33)

1. Clercx H.J.H., Maassen S.R., and van Heijst G.J.F. Spontaneous spin-up during the decay of 2D turbulence in a square container with rigid boundaries. Phys. Rev. Lett. 80 (1998) 5129-5132
2. Clercx H.J.H., Maassen S.R., and van Heijst G.J.F. Decaying two-dimensional turbulence in square containers with no-slip or stress-free boundaries. Phys. Fluids 11 (1999) 611-626
3. Clercx H.J.H., Nielsen A.H., Torres D.J., and Coutsias E.A. Two-dimensional turbulence in square and circular domains with no-slip walls. Eur. J. Mech. B Fluids 20 (2001) 557-576
4. Maassen S.R., Clercx H.J.H., and van Heijst G.J.F. Self-organization of quasi-two-dimensional turbulence in stratified fluids in square and circular containers. Phys. Fluids 14 (2002) 2150-2169
5. Li S., Montgomery D., and Jones W.B. Inverse cascades of angular momentum. J. Plasma Phys. 56 (1996) 615-639
6. Li S., and Montgomery D. Decaying two-dimensional turbulence with rigid walls. Phys. Lett. A 218 (1996) 281-291
7. Maassen S.R., Clercx H.J.H., and van Heijst G.J.F. Decaying quasi-2D turbulence in a stratified fluid with circular boundaries. Europhys. Lett. 46 (1999) 339-345
8. Schneider K., and Farge M. Decaying two-dimensional turbulence in a circular container. Phys. Rev. Lett. 95 244502 (2005) 1-4
9. Chavanis P.H., and Sommeria J. Classification of self-organized vortices in two-dimensional turbulence: The case of a bounded domain. J. Fluid Mech. 314 (1996) 267-297
10. Li S., Montgomery D., and Jones W.B. Two-dimensional turbulence with rigid circular walls. Theor. Comput. Fluid Dyn. 9 (1997) 167-181
11. Onsager L. Statistical hydrodynamics. Nuovo Cimento Suppl. 6 (1949) 279-289
12. Joyce G., and Montgomery D. Negative temperature states for the two-dimensional guiding centre plasma. J. Plasma. Phys. 10 (1973) 107-121
13. Montgomery D., Matthaeus W.H., Stribling W.T., Martinez D., and Oughton S. Relaxation in two dimensions and the sinh-Poisson equation. Phys. Fluids A 4 (1992) 3-6
14. Montgomery D., Shan X., and Matthaeus W.H. Navier-Stokes relaxation to sinh-Poisson states at finite Reynolds numbers. Phys. Fluids A 5 (1993) 2207-2216
15. Pointin Y.B., and Lundgren T.S. Statistical mechanics of two-dimensional vortices in a bounded domain. Phys. Fluids 19 (1976) 1459-1470
16. Ting A.C., Chen H.H., and Lee Y.C. Exact solution of a nonlinear boundary value problem: The vortices of the two-dimensional sinh-Poisson equation. Physica D 26 (1987) 37-66
17. Miller J. Statistical mechanics of Euler's equation in two dimensions. Phys. Rev. Lett. 65 (1990) 2137-2140
18. Robert R., and Sommeria J. Statistical equilibrium states for two-dimensional flows. J. Fluid. Mech. 229 (1991) 291-310
19. Matthaeus W.H., and Montgomery D. Selective decay hypothesis at high mechanical and magnetic Reynolds numbers. Ann. (N.Y.) Acad. Sci. 357 (1980) 203-222
20. Leith C.E. Minimum enstrophy vortices. Phys. Fluids 27 (1984) 1388-1395
21. Matthaeus W.H., Stribling W.T., Martinez D., Oughton S., and Montgomery D. Selective decay and coherent vortices in two-dimensional incompressible turbulence. Phys. Rev. Lett. 66 (1991) 2731-2734
22. Leith C.E. Diffusion approximation for two-dimensional turbulence. Phys. Fluids 11 (1968) 671-673
23. Arfken G.B., and Weber H.J. Mathematical Methods for Physicists (2005), Elsevier, Academic Press
24. Arquis E., and Caltagirone J.P. Sur les conditions hydrodynamique au voisinage d'une interface milieu fluide-milieu poreux: application à la convection naturelle. C. R. Acad. Sci. Paris 299 (1984) 1-4
25. Angot Ph., Bruneau C.-H., and Fabrie P. A penalization method to take into account obstacles in viscous flow. Numer. Math. 81 (1999) 497-520
26. Carbou G., and Fabrie P. Boundary layer for a penalization method for viscous incompressible flow. Adv. Differential Equations 8 (2003) 1453-1480
27. Schneider K. Numerical simulation of the transient flow behaviour in chemical reactors using a penalisation method. Comp. Fluids 34 (2005) 1223-1238
28. Kevlahan N.K.R., and Ghidaglia J.-M. Computation of turbulent flow past an array of cylinders using a spectral method with Brinkman penalization. Eur. J. Mech. B/Fluids 20 (2001) 333-350
29. Schneider K., and Farge M. Final states of decaying 2D turbulence in bounded domains. Physica D 237 (2008) 2228-2233
30. Bos W.J.T., Neffaa S., and Schneider K. Rapid generation of angular momentum in bounded magnetized plasmas. Phys. Rev. Lett. 101 235003 (2008) 1-4
31. Keetels G.H., D'Ortona U., Kramer W., Clercx H.J.H., Schneider K., and van Heijst G.J.F. Fourier spectral and wavelet solvers for the incompressible Navier-Stokes equations with volume penalization: Convergence of a dipole-wall collision. J. Comp. Phys. 227 (2007) 919-945
32. Keetels G.H., Clercx H.J.H., and van Heijst G.J.F. A Fourier spectral solver for confined Navier-Stokes flow. Int. J. Mult. Comp. Eng. 6 (2008) 53-63
33. Sarid E., Teodorescu C., Marcus P.S., and Fajans J. Breaking of rotational symmetry in cylindrically bounded 2D electron plasmas and 2D fluids. Phys. Rev. Lett. 93 215002 (2004) 1-4