Abstract
We review the spatial filtering approach to large-eddy simulation and describe the intuitive dissipation and similarity requirements, commonly imposed on models for the turbulent stress. Then we present direct regularization of the nonlinear convective flux which provides a systematic framework for deriving the implied subgrid model. This approach allows one to incorporate several rigorous mathematical properties of solutions to the Navier-Stokes system into the modeled large-eddy formulation. Regularization maintains the central transport structure of the governing equations. We illustrate the approach with Leray regularization and the Lagrangian averaged Navier-Stokes-α model. The new subgrid models are applied to turbulent mixing. These models display a strongly improved accuracy of predictions compared to dynamic subgrid models, as well as robustness at high Reynolds number.
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© 2004 Springer Science+Business Media Dordrecht
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Geurts, B.J., Holm, D.D. (2004). Nonlinear Regularization for Large-Eddy Simulation. In: Friedrich, R., Geurts, B.J., Métais, O. (eds) Direct and Large-Eddy Simulation V. ERCOFTAC Series, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-2313-2_1
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DOI: https://doi.org/10.1007/978-1-4020-2313-2_1
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