RNG-based turbulence transport approximations with applications to transonic flows

An algebraic eddy viscosity model, as well as a differential two equation K. - € model based on the Renormalization Group Theory of turbulence are proposed for closure of the compressible Reynolds averaged equations. The first model, although free from uncertainties related to the determination of modeling constants, still requires the specification of a lengthscale which leads to a reduction of the generality of the model. The second model proposed is far more general. Not only does it remove the need for the determination of a length scale, but it also incorporates the low Reynolds number modeling in a form that does not depend directly on information about the wall location. This feature makes the RNG-based rc - E model suitable for calculation on unstructured meshes. The applicability of the RNG based turbulence transport approximations for mildly compressible flows is demonstrated by the successful simulation of several transonic flows.