  For settling the problem with rotating turbulence modelling, a quasi-dynamic
one-equation subgrid-scale (SGS) model is proposed in this paper. Considering
the key role of the joint cascade of kinetic energy and helicity in rotating
turbulence, the new SGS model is constrained by the fluxes of kinetic energy
and helicity. Specifically, the new theory of dual channels of helicity flux is
taken into account. The modelling of the unclosed quantities is achieved by
adopting a quasi-dynamic process that eliminates the need for test filtering
compared to the classic dynamic process, and the model coefficients are
dynamically obtained through the SGS kinetic energy transport equation and
considering the joint constraints of kinetic energy and helicity fluxes. As a
result, the model demonstrates a high correlation with DNS data in a priori
tests. We refer to this new model as the quasi-dynamic joint-constraint model
(QCM), which is introduced for both incompressible and compressible flows. To
assess the effectiveness of the QCM, numerical experiments are conducted for
three typical cases: incompressible streamwise rotating channel flow, transonic
streamwise rotating annular pipe flow, and hypersonic transition flow at Mach 6
over a rotating cone. The results suggest that the QCM has the potential to
significantly improve the prediction of rotational flows that are strongly
influenced by helicity. Additionally, the new model demonstrates excellent
capability in handling the transition process.
