Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898928 | Journal of Differential Equations | 2018 | 31 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Pedram Emami, John C. Bowman,