TY - JOUR

T1 - Control and instanton trajectories for random transitions in turbulent flows

AU - Bouchet, Freddy

AU - Laurie, Jason

AU - Zaboronski, Oleg

PY - 2011/1/1

Y1 - 2011/1/1

N2 - Many turbulent systems exhibit random switches between qualitatively different attractors. The transition between these bistable states is often an extremely rare event, that can not be computed through DNS, due to complexity limitations. We present results for the calculation of instanton trajectories (a control problem) between non-equilibrium stationary states (attractors) in the 2D stochastic Navier-Stokes equations. By representing the transition probability between two states using a path integral formulation, we can compute the most probable trajectory (instanton) joining two non-equilibrium stationary states. Technically, this is equivalent to the minimization of an action, which can be related to a fluid mechanics control problem.

AB - Many turbulent systems exhibit random switches between qualitatively different attractors. The transition between these bistable states is often an extremely rare event, that can not be computed through DNS, due to complexity limitations. We present results for the calculation of instanton trajectories (a control problem) between non-equilibrium stationary states (attractors) in the 2D stochastic Navier-Stokes equations. By representing the transition probability between two states using a path integral formulation, we can compute the most probable trajectory (instanton) joining two non-equilibrium stationary states. Technically, this is equivalent to the minimization of an action, which can be related to a fluid mechanics control problem.

UR - http://www.scopus.com/inward/record.url?scp=84856360095&partnerID=8YFLogxK

UR - https://iopscience.iop.org/article/10.1088/1742-6596/318/2/022041/meta

U2 - 10.1088/1742-6596/318/2/022041

DO - 10.1088/1742-6596/318/2/022041

M3 - Conference article

AN - SCOPUS:84856360095

VL - 318

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - SECTION 2

M1 - 022041

T2 - 13th European Turbulence Conference, ETC13

Y2 - 12 September 2011 through 15 September 2011

ER -