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For helical isotropic turbulence, an improved two-term helical subgrid-scale(SGS) model is proposed and four types of dynamic methods are given to dolarge-eddy simulation (LES), which include the standard dynamic procedure, theleast quatratic sum dynamic procedure, the dynamic procedure with single con-straint of helicity dissipation and the dynamic one with dual constraints ofenergy and helicity dissipation. Tested a priori and a posteriori in bothsteady and decaying helical isotropic turbulence, the four types of dynamichelical models and the dynamic Smogorinsky model are compared with results ofdirect numerical simulations (DNS) together. Numerical results demonstrate thatthe three new types of dynamic helical models predict energy and helicityevolution better than the standard dynamic helical model, and the twoconstrained helical models predict the energy and helicity dissipation ratesbetter than other models. Fur- thermore, the constrained helical models havehigher correlation to the real SGS stress and have more similar probabilitydensity functions (PDF) to the DNS results. In general, the two constrainedhelical models show some more attractive features than other models.

An improved helical subgrid-scale model and large-eddy simulation methods in helical turbulence