Algebraic Turbulence Modeling for Swept

New algebraic turbulence modeling is derived that is appropriate for the simulation of swept shock-wave/ turbulent boundary-layerinteractions. In the quasiconical separation vortex,which appears in these types of ows, the low-intermittency outer part of the boundary layer rotates aroundthe core of the vortex and penetrates into the separation bubble at the reattachment region, forming a low-turbulence tongue that lies along the surface under the vortex. This physical feature was considered in the derivation of a new equation for calculation of the eddyviscosity coef® cient in the region of the separation vortex. The Baldwin± Lomax formulation is followed, because it is easily implemented in a Navier± Stokes computation scheme. Also, an alternative eddy-viscosity coef® cient is presented that is closer to Clauser’s linear relation than the original Baldwin± Lomax relations. The proposed calculation scheme is completed by a simple rule for calculation of the thickness of the boundary layer in types of ows where, because of the existence of shock waves and mixing layers, multiple maxima exist in the moment of vorticity pro® les. Application of the new turbulence modeling in supersonic sharp-® n± plate ows resulted in good agreement with the experimental evidence. Also, a preliminary applicationof the new relations to a crossing shock con® guration indicated that this complex ow can be simulated quite well.