Dynamic structure subgrid‐scale models for large eddy simulation

Large eddy simulation (LES) is based on separation of variable of interest into two parts-resolved and subgrid. The resolved part is obtained numerically using modified transport equation while the effect of the subgrid part is modelled using subgrid-scale (SGS) models. We present and discuss new one-equation LES models for SGS scalar flux, SGS scalar dissipation and SGS energy dissipation. The proposed models belong to a new family of SGS models-dynamic structure (DS) models. The DS models borrow the structure of the modelled term from the corresponding Leonard term, and a special scaling factor is then used which does not contain user-specified constants. The models are evaluated a priori using available DNS data for a non-reacting mixing layer and decaying isotropic turbulence; the evaluation results compare well with viscosity and similarity models. During the a priori tests, the DS models were found to perform better than dynamic viscosity and similarity models for various test-to-base filter size ratios and non-symmetric filters. For a posteriori evaluation, the models are implemented into a high-order finite-difference code and an LES of decaying isotropic turbulence is performed

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