Implementation and Testing of a Compressible Wall-Layer Model on a Flat Plate

Abstract

Traditional wall functions have been used successfully for decades to decrease the computational cost for obtaining solutions to incompressible flows with equilibrium turbulence. However, these traditional, analytic wall functions are poorly suited for more complex flows. The present work describes an alternative approach named the “diffusion model”. The diffusion model is a subgrid model developed by Blottner and Bond which solves a system of ODEs in the near wall region instead of assuming an analytic profile. The diffusion model has previously been investigated in conjunction with k-ǫ- and k-ω-type two-equation turbulence models and the one-equation Spalart-Allmaras model. This paper documents the implementation and testing of the diffusion model fully coupled with a 3D ReynoldsAveraged Navier-Stokes code, using the Spalart-Allmaras model.