Competition of spiral-defect chaos and rolls in Rayleigh-Bénard convection under shear flow.

Computer simulations of domain coarsening of Rayleigh-Bénard convective patterns under horizontal shear flow are carried out. The model calculations reported here explicitly include the hydrodynamic interaction of the order parameter field and provide a description of the spiral-defect chaos which competes with the roll pattern. We observe shear banding at moderate strain rates.