Lagrangian Modeling of a Nonhomogeneous Turbulent Shear Flow: Molding Homogeneous and Isotropic Trajectories into a Jet

Published In

Physical Review Fluids

Document Type

Citation

Publication Date

4-9-2024

Abstract

Turbulence is prevalent in nature and industry, from large-scale wave dynamics to small-scale combustion nozzle sprays. In addition to the multiscale nonlinear complexity and both randomness and coherent structures in its dynamics, practical turbulence is often nonhomogeneous and anisotropic, leading to great modeling challenges. In this paper, an efficient model is proposed to predict turbulent jet statistics with high accuracy. The model leverages detailed knowledge of readily available velocity signals from idealized homogeneous turbulence and transforms them into Lagrangian trajectories of a turbulent jet. The resulting spatiotemporal statistics are compared against experimental jet data showing remarkable agreement at all scales. In particular, the intermittency phenomenon is accurately mapped by the model to this inhomogeneous situation, as observed by higher-order moments and velocity increment probability density functions. Crucial to the advancement of turbulence modeling, the transformation is simple to implement for the jet configuration, with possible extensions to other inhomogeneous flows such as wind turbine wakes and canopy flows, to name a few.

DOI

10.1103/PhysRevFluids.9.044604

Persistent Identifier

https://archives.pdx.edu/ds/psu/42335

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