title: Viscoelastic convection: Few-modes model and numerical simulations of field equations for Maxwellian fluids.
abstract: The structure formation of convection rolls in Maxwellian fluids that are heated from below in a Rayleigh-Bénard setup is investigated close to onset with a simple few-modes ansatz and by solving the hydrodynamic field equations with a finite-difference method. Depending on the magnitude of the viscoelastic relaxation time one can have besides stationary convection also oscillatory patterns in the form of standing or traveling waves. The existence and stability regions of these convection structures are determined. The convection behavior of the model is compared with the results of full numerical simulations. Furthermore, the effect of modulating the heating periodically in time on the stability of the quiescent conductive state of the fluid and on its convection behavior is investigated as a function of the fluid's viscoelasticity.
authors.affiliation: Institut für Theoretische Physik, Universität des Saarlandes, D-66123 Saarbrücken, Germany. m.salm@lusi.uni-sb.de
authors.forename: M
authors.initials: M
authors.lastname: Salm
authors.forename: M
authors.initials: M
authors.lastname: Lücke