Entropy and its application in turbulence modeling

The entropy concept was introduced into the turbulence modeling strategy in the present work. First, the turbulent boundary-layer was described from the point of energy dissipation. Based on the theoretical analysis and direct numerical simulations, the relationship between the entropy increment and viscosity dissipation was systematically investigated. Then, an entropy function f (s) was proposed to distinguish the turbulent boundary-layer from the external flow. This function is universal, independent of the inflow conditions or any specific turbulence model. With this function, a new version of delayed-detached-eddy simulation method SDES was constructed and verified with the supersonic boundary-layer flow and the cavity-ramped flow. Initial results showed that this method could successfully avoid the modeled stress depletion problem inherited from the original DES method.