High Order Residual Distribution Scheme for the RANS Equations

In this work the use of Residual Distribution schemes for the discretization of conservation laws is described. The scheme uses a Lagrangian interpolation of the solution over the element to achieve high order spatial accuracy for steady problems. The formulation is compact and easily generalizable to all spatial dimensions and to all type of elements. The accuracy of the numerical scheme is proved by numerical experiments on benchmark problems in two and three spatial dimensions. Furthermore, the results for the Reynolds Averaged Navier-Stokes computation, based on the Spalart-Allmaras model, of compressible turbulent ows are reported.