Affiliation:
1. Department of Naval Architecture and Marine Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA
Abstract
Using the 1D Majda-McLaughlin-Tabak model as an example, we develop numerical experiments to study the validity of the wave kinetic equation (WKE) at the kinetic limit (i.e., small nonlinearity and large domain). We show that the dynamics converge to the WKE prediction, in terms of the closure model and energy flux, when the kinetic limit is approached. When the kinetic limit is combined with a process of widening the inertial range, the theoretical Kolmogorov constant can be recovered numerically to a very high precision.
Published by the American Physical Society
2024
Funder
Simons Foundation
National Science Foundation
Publisher
American Physical Society (APS)
Cited by
1 articles.
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