Fluid Dynamics and Turbulent Flows
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Peer reviewed
Abstract
Abstract
Abstract Eddy viscosity models for subgrid-scale (SGS) stress are widely used in large eddy simulation (LES). However, they do not provide accurate results for coarse-grid LES. Eddy viscosity models are too dissipative and do not reproduce backscatter, that is, the local energy transfer from the SGS to the grid-scale field. Although the scale similarity term can be added to the model to reproduce backscatter, it leads to numerical instability. In this study, a nonlocal SGS model was proposed by extending the nonlocal eddy diffusivity model for the Reynolds-averaged Navier-Stokes (RANS) equation to LES. As the nonlocal RANS model can reproduce the counter-gradient diffusion of scalar and momentum transport, the proposed SGS model is expected to reproduce the energy backscatter. First, a simplified version of the nonlocal RANS model is presented and analyzed to demonstrate its numerical stability. The diffusion effect at high wavenumbers was smaller than that of the local model. Next, based on the nonlocal RANS model, a nonlocal SGS model is proposed and applied to the LES of a turbulent channel flow using a coarse grid. The mean velocity and turbulent shear stress profiles improved and a small amount of backscatter was observed. The high-wavenumber part of the energy spectra increased and the near-wall velocity structure improved compared with the local model. These results demonstrate that the nonlocal SGS model has the potential to improve the coarse-grid LES.
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@article{Hamba2026Nonlocal,
title = {Nonlocal subgrid-scale model and energy backscatter in turbulent channel flows},
author = {Fujihiro Hamba},
journal = {Fluid Dynamics Research},
year = {2026},
doi = {10.1088/1873-7005/ae9803},
url = {https://doi.org/10.1088/1873-7005/ae9803}
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