Wavy stripes and squares in zero P number convection

Abstract

A simple model to explain numerically observed behaviour of chaotically varying stripes and square patterns in zero Prandtl number convection in Boussinesq fluid is presented. The nonlinear interaction of mutually perpendicular sets of wavy rolls, via higher mode, may lead to a competition between the two sets of wavy rolls. The appearance of square patterns is due to the secondary forward Hopf bifurcation of a set of wavy rolls.

8 pages and 3 figures, latex

References in corpus (2)

• Asymmetric Squares as Standing Waves in Rayleigh-Benard Convection
• Quasiperiodic waves at the onset of zero Prandtl number convection with rotation

Cited by in corpus (5)

• Role of uniform horizontal magnetic field on convective flow
• Bifurcation and chaos in zero Prandtl number convection
• Pattern dynamics near homoclinic bifurcation in Rayleigh-Bénard convection
• Zero Prandtl-number rotating magnetoconvection
• Homoclinic bifurcations in low-Prandtl-number Rayleigh-Bénard convection with uniform rotation