A new delayed detached eddy simulation (DDES) model under the ℓ2−ω DDES framework is proposed in this work, namely, the explicit algebraic stress DDES (EAS-DDES) model. The model inherently accounts for the modeled stress anisotropy, making it outperforms the traditional linear eddy viscosity (LEV) based DES models in complex turbulent flows, especially when near-wall stress anisotropy becomes pronounced. The switching between the Reynolds-averaged Navier-Stokes (RANS) and large eddy simulation (LES) branches is achieved based on the ℓ2−ω DDES framework. The explicit algebraic stress formula does not notably compromise the computational effort, stability, and robustness of the DDES model. Four test cases are simulated to assess the performance of the proposed EAS-DDES model. The first two cases are fully developed channel flows and flow over the backward-facing step, showing that the new EAS-DDES model has similar predictive performance to the LEV-based ℓ2−ω DDES model. The other two cases are square duct and rotating channel flows, where modeling the Reynolds stress anisotropy in secondary and rotating flows is crucial to predict the correct flow statistics. The accuracy of the EAS-DDES model compared with the LEV-based DDES models is significantly improved due to the reasonable prediction of near-wall modeled stress anisotropy. The new EAS-DDES model provides an advanced option for the DES of complex turbulent flows when the LEV assumption is problematic.
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