Wall-Laws for High Speed Flows over Adiabatic and Isothermal Walls
Résumé
We present the extension of our wall-laws developed for low-speed flows to super and hypersonic configurations. In particular, we are interested in flows over isothermal walls and account for heat transfer. We recall the main steps of the development: - Obtention of generalized wall functions for low-speed fluids, valid for all $y^+$, - Taking into account transversal effects. - Accounting for the compressible feature of the flow on adiabatic walls without using informations on the local boundary layer structure but only those available at the fictitious wall. - Extension to isothermal walls. A posteriori evaluation of the heat flux at the real wall using informations at the fictitious one. - Only use informations available on unstructured meshes and avoid those coming from a cartesian hypothesis for the mesh in near-wall regions. These ingredients are validated on hypersonic configurations on adiabatic and isothermal walls for expansion and compression ramps as well as for reentry geometries.