Exploring nonlinear subgrid-scale models and new characteristic length scales for large-eddy simulation

Maurits H. Silvis, F. Xavier Trias, M. Abkar, H.J. Bae, A. Lozano-Duran, R.W.C.P. Verstappen

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Abstract

We study subgrid-scale modeling for large-eddy simulation of anisotropic turbulent flows on anisotropic grids.
In particular, we show how the addition of a velocity-gradient-based nonlinear model term to an eddy viscosity model provides a better representation of energy transfer.
This is shown to lead to improved predictions of rotating and nonrotating homogeneous isotropic turbulence.
%We furthermore show that spanwise-rotating turbulent plane-channel flows form a challenging test case for large-eddy simulation.
Our research further focuses on calculation of the subgrid characteristic length, a key element for any eddy viscosity model.
In the current work, we propose a new formulation of this quantity based on a Taylor series expansion of the subgrid stress tensor in the computational space.
Numerical tests of decaying homogeneous isotropic turbulence and a plane-channel flow illustrate the robustness of this flow-dependent characteristic length scale with respect to mesh anisotropy.
Original languageEnglish
Title of host publicationStudying Turbulence Using Numerical Simulation Databases - XVI
Subtitle of host publicationProceedings of the 2016 Summer Program
EditorsParviz Moin, Javier Urzay
PublisherCenter for Turbulence Research, Stanford University
Pages265-274
Number of pages10
Publication statusPublished - Dec-2016

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