Homoclinic snaking of localized states in doubly diffusive convection

Cédric Beaume (1) , Alain Bergeon (1) , Edgar Knobloch (2)

1 IMFT - Institut de mécanique des fluides de Toulouse
2 UC Berkeley - University of California [Berkeley]

Numerical continuation is used to investigate stationary spatially localized states in two-dimensional thermosolutal convection in a plane horizontal layer with no-slip boundary conditions at top and bottom. Convectons in the form of 1-pulse and 2-pulse states of both odd and even parity exhibit homoclinic snaking in a common Rayleigh number regime. In contrast to similar states in binary fluid convection, odd parity convectons do not pump concentration horizontally. Stable but time-dependent localized structures are present for Rayleigh numbers below the snaking region for stationary convectons. The computations are carried out for (inverse) Lewis number \tau = 1/15 and Prandtl numbers Pr = 1 and Pr >> 1.

Mots clés: Homoclinic snaking; doubly diffusive convection

Domaines: Dynamique des Fluides [physics.flu-dyn]; Mécanique des fluides [physics.class-ph]

Cédric Beaume, Alain Bergeon, Edgar Knobloch. Homoclinic snaking of localized states in doubly diffusive convection. Physics of Fluids, 2011, 23, pp.0. ⟨10.1063/1.3626405⟩. ⟨hal-03544526⟩