Direct and noisy transitions in a model shear flow. Issue 3 (May 2015)

• Record Type: Journal Article
• Authors: Pausch, Marina; Eckhardt, Bruno
• Is Part Of: Theoretical & applied mechanics letters. Volume 5:Issue 3(2015)
• Page Start: 111
• Page End: 116
• Publication Date: 2015-05
• Subjects: Transition to turbulence -- Shear flows -- Noise driven -- Optimal initial conditions; Mechanics, Applied -- Periodicals; Mechanics, Analytic -- Periodicals; Mechanics, Analytic; Mechanics, Applied; Periodicals; 620.1
• DOI: 10.1016/j.taml.2015.04.003
• Languages: English
• ISSNs: 2095-0349

Abstract

Abstract: The transition to turbulence in flows where the laminar profile is linearly stable requires perturbations of finite amplitude. "Optimal" perturbations are distinguished as extrema of certain functionals, and different functionals give different optima. We here discuss the phase space structure of a 2D simplified model of the transition to turbulence and discuss optimal perturbations with respect to three criteria: energy of the initial condition, energy dissipation of the initial condition, and amplitude of noise in a stochastic transition. We find that the states triggering the transition are different in the three cases, but show the same scaling with Reynolds number.