About solid walls boundary conditions for viscous flow problems

A methodology for setting boundary conditions on solid surfaces, based on the method of wall functions, has been developed. The technique is based on the simplified Reynolds-averaged Navier-Stokes equations with the Spalart-Almaras model as a closure in the approach of the boundary layer. As a result, the corresponding fluxes on the boundary which consider the influence of solid walls on the flow in areas with insufficient nearwall mesh resolution are computed. Discretization of the simplified system of equations is done and an algorithm for their solution has been constructed. Parallel software implementation of the developed method within the vertex-centered finite-volume research code is carried out. Based on the selected test cases, which are canonical turbulent flows, a series of computations demonstrating the capabilities of the developed method was conducted. Recommendations and limitations related to the practical usage of the proposed technology were developed.