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Title of Journal: Theor Comput Fluid Dyn

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Abbravation: Theoretical and Computational Fluid Dynamics

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Springer Berlin Heidelberg

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DOI

10.1016/0168-8278(91)90821-R

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1432-2250

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Quasiperiodicity and chaos in a differentially he

Authors: Isabel Mercader Oriol Batiste Xavier Ruiz
Publish Date: 2004/11/01
Volume: 18, Issue: 2-4, Pages: 221-229
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Abstract

Convective flows of a small Prandtl number fluid contained in a twodimensional vertical cavity subject to a lateral thermal gradient are studied numerically The chosen geometry and the values of the material parameters are relevant to semiconductor crystal growth experiments in the horizontal configuration of the Bridgman method For increasing Rayleigh numbers we find a transition from a steady flow to periodic solutions through a supercritical Hopf bifurcation that maintains the centrosymmetry of the basic circulation For a Rayleigh number of about ten times that of the Hopf bifurcation the periodic solution loses stability in a subcritical Neimark–Sacker bifurcation which gives rise to a branch of quasiperiodic states In this branch several intervals of frequency locking have been identified Inside the resonance horns the stable limit cycles lose and gain stability via some typical scenarios in the bifurcation of periodic solutions After a complicated bifurcation diagram of the stable limit cycle of the 110 resonance horn a soft transition to chaos is obtained

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Other Papers In This Journal:
  1. The effect of numerical methods on the simulation of mid-ocean ridge hydrothermal models
  2. Hypersonic viscous flow over large roughness elements
  3. Collapse and concentration of vortex sheets in two-dimensional flow
  4. Direct simulation of isolated elliptic vortices and of their radiated noise
  5. The interaction of equatorial waves with a barotropic shear: a potential test case for climate model dynamical cores
  6. The N -vortex problem on a sphere: geophysical mechanisms that break integrability
  7. 3D computation of an incipient motion of a sessile drop on a rigid surface with contact angle hysteresis
  8. Investigation of trajectories of inviscid fluid particles in two-dimensional rotating boxes
  9. Cluster-based control of a separating flow over a smoothly contoured ramp
  10. Hybrid methods for airframe noise numerical prediction
  11. Superfluid Couette flow in an enclosed annulus
  12. Wall-modeled large eddy simulation of turbulent channel flow at high Reynolds number using the von Karman length scale
  13. Analytical formulae for source and sink flows in multiply connected domains
  14. Lyapunov analysis for fully developed homogeneous isotropic turbulence
  15. Ground effects on separated laminar flows past an inclined flat plate
  16. Suppression of vorticity in vortex and pipe flow interactions
  17. Kinetic theory of stellar systems, two-dimensional vortices and HMF model
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