6533b7dcfe1ef96bd127296e

RESEARCH PRODUCT

Adaptive control of a seven mode truncation of the Kolmogorov flow with drag

Marco SammartinoMaria Carmela LombardoGaetana Gambino

subject

D'Alembert's paradoxEquilibrium pointTruncationGeneral MathematicsApplied MathematicsMathematical analysisGeneral Physics and AstronomyReynolds numberAdaptive controlStatistical and Nonlinear PhysicsLaminar flowDrag equationFinite dimensional approximationPhysics::Fluid Dynamicssymbols.namesakeClassical mechanicsDragsymbolsBifurcationReynolds-averaged Navier–Stokes equationsMathematics

description

Abstract We study a seven dimensional nonlinear dynamical system obtained by a truncation of the Navier–Stokes equations for a two dimensional incompressible fluid with the addition of a linear term modelling the drag friction. We show the bifurcation sequence leading from laminar steady states to chaotic solutions with increasing Reynolds number. Finally, we design an adaptive control which drives the state of the system to the equilibrium point representing the stationary solution.

yearjournalcountryeditionlanguage
2009-07-01
10.1016/j.chaos.2007.11.003http://hdl.handle.net/10447/39993