Validation of LES-C turbulence models. (English) Zbl 1536.76051
Summary: A new family of turbulence models, Large Eddy Simulation with Correction (LES-C) has been proposed in [A. E. Labovsky, SIAM J. Numer. Anal. 58, No. 5, 3068–3090 (2020; Zbl 1475.65126)], that reduces the modeling error by treating an LES model as a defect solution and then correcting it on the same spatial mesh. Herein, we investigate numerically several LES-C models, that stem from popular LES approaches: Approximate Deconvolution Model (\(ADM\)), Leray-\(\alpha\), NS-\(\alpha\), and NS-\(\omega\). The resulting LES-C models \(ADC\), Leray-\(\alpha\)-C, NS-\(\alpha\)-C and NS-\(\omega\)-C are tested on the two-dimensional problems (flow past a circular object, flow past a step) and on the three-dimensional benchmark problem of turbulent channel flow. In all the numerical tests all LES-C models are shown to outperform their LES counterparts on coarse spatial meshes.
MSC:
| 76F65 | Direct numerical and large eddy simulation of turbulence |
Citations:
Zbl 1475.65126Software:
FreeFem++References:
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