On the global attractor of 2D incompressible turbulence with random forcing

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:264

Article

Emami, Pedram¹  Bowman, John C.¹ 

[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

关键词: Energy;    Enstrophy;    Global attractor;    Two-dimensional turbulence;    Incompressible turbulence;    Random forcing;   

DOI  :  10.1016/j.jde.2017.12.004

来源: Elsevier

【 摘 要 】

This study revisits bounds on the projection of the global attractor in the energy-enstrophy plane for 2D incompressible turbulence [Dascaliuc, Foias, and Jolly, 2005, 2010]. In addition to providing more elegant proofs of some of the required nonlinear identities, the treatment is extended from the case of constant forcing to the more realistic case of random forcing. Numerical simulations in particular often use a stochastic white-noise forcing to achieve a prescribed mean energy injection rate. The analytical bounds are demonstrated numerically for the case of white-noise forcing. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free