Abstract
This report develops an ensemble or statistical eddy viscosity model. The model is parameterized by an ensemble of solutions of an ensemble-Leray regularization. The combined approach of ensemble time stepping and ensemble eddy viscosity modeling allows direct parametrization of the turbulent viscosity coefficient. We prove unconditional stability and that the model's solution approaches statistical equilibrium as t → ∞; the model's variance converges to zero as t → ∞. The ensemble method is used to interrogate a rotating flow, testing its predictability by computing effective averaged Lyapunov exponents.
Funding source: NSF
Award Identifier / Grant number: DMS 1216465
Funding source: NSF
Award Identifier / Grant number: AFOSR FA9550-12-1-0191
Funding source: TUBITAK
© 2015 by De Gruyter
