Mode interaction in rotating Rayleigh-Bénard convection

Fluid Dynamics Research

Volumn 33, Issue 5-6, 2003, Pages 477-492

  Rüdiger, Sten ^a   Knobloch, Edgar ^b  

^a FLORIDA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Buoyancy driven instability; Pattern formation; Pattern selection

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; CYLINDERS (CONTAINERS); ROTATION;

WAVE NUMBERS;

FLOW OF FLUIDS;

CONVECTION; CYLINDER; DIRECT NUMERICAL SIMULATION; FLUID MECHANICS; ROTATION;

EID: 0345149212     PISSN: 01695983     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fluiddyn.2003.05.003     Document Type: Article

References (16)

1. Armbruster D. Guckenheimer J. Holmes P. Kuramoto-Sivashinsky dynamics on the center-unstable manifold SIAM J. Appl. Math. 49 1989 676-691
2. Chandrasekhar S. Hydrodynamic and Hydromagnetic Stability 1961 Dover Publications New York
3. Chossat P. The bifurcation of heteroclinic cycles in systems of hydrodynamical type Dyn. Continuous, Discrete Impulsive Syst. Ser. A 8 2001 575-590
4. Ecke R. Zhong F. Knobloch E. Hopf bifurcation with broken reflection symmetry in rotating Rayleigh-Bénard convection Europhys. Lett. 19 1992 177-182
5. Ermentrout, B., 1999. Dynamical systems software with continuation and bifurcation capabilities, available via FTP from directory/pub/hardware at ftp.math.pitt.edu
6. Goldstein H.F. Knobloch E. Mercader I. Net M. Convection in a rotating cylinder. Part 1. Linear theory for moderate Prandtl numbers J. Fluid Mech. 248 1993 583-604
7. Graham M.D. Steen P.H. Strongly interacting traveling waves and quasiperiodic dynamics in porous medium convection Physica D 54 1992 331-350
8. Knobloch E. Bifurcations in rotating systems Proctor M.R.E. Gilbert A.D. Lectures on Solar and Planetary Dynamos 1994 Cambridge University Press Cambridge
9. Knobloch E. Proctor M.R.E. The double Hopf bifurcation with 2:1 resonance Proc. R. Soc. London Ser. A 415 1988 61-90
10. Küppers G. Lortz D. Transition from laminar convection to thermal turbulence in a rotating fluid layer J. Fluid Mech. 35 1969 609-620
11. Porter J. Knobloch E. New type of complex dynamics in the 1:2 spatial resonance Physica D 159 2001 125-154
12. Rüdiger, S., 2000. Ph.D. Thesis, Universität Potsdam.
13. Rüdiger S. Feudel F. Pattern formation in Rayleigh-Bénard convection in a cylinder Phys. Rev. E 62 2000 4927-4931
14. Zhong F. Ecke R. Steinberg V. Rotating Rayleigh-Bénard convection: Küppers-Lortz transition Physica D 51 1991 596-607
15. Zhong F. Ecke R. Steinberg V. Asymmetric modes and the transition to vortex structures in rotating Rayleigh-Bénard convection Phys. Rev. Lett. 67 1991 2473-2476
16. Zhong F. Ecke R. Steinberg V. Rotating Rayleigh-Bénard convection: asymmetric modes and vortex states J. Fluid Mech. 249 1993 135-159