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Quantifying the linear damping in two-dimensional turbulence
Phys. Rev. Fluids 5, 094605 – Published 29 September, 2020
DOI: https://doi.org/10.1103/PhysRevFluids.5.094605
Abstract
Linear damping is widely applied in experiments and fluid models to describe the large-scale dissipation that absorbs upscale energy transfers in two-dimensional (2D) turbulence. However, in many systems, it is not justified that linear damping is a good model and it is hard to obtain the damping coefficient from directly measurable quantities. Based on the forcing-scale resolving structure-function theory of homogeneous isotropic 2D turbulence derived by Xie and Bühler [J. Fluid Mech. 851, 672 (2018)], we propose a procedure that simultaneously obtains the magnitude of energy flux, the energy injection scale, and the damping coefficient by fitting the measurable second- and third-order velocity structure functions. Also, a test function based on the structure-function theory is proposed to justify the form of linear damping on each scale. The validity of this procedure is tested against data obtained from numerical simulations.
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