PDE Constrained Inverse Problems Arising from Turbulence Modeling

Turbulence models, which are a means to fix the closure problem arising from Reynolds averaging of Navier‐Stokes equations, are economical stop‐gaps but suffer from accuracy issues. Modifying turbulence models by incorporating corrections in their functional form is one approach to improve their accuracy. We estimate correction functionals for the Spalart ‐ Allmaras turbulence model, based on an inverse problem with PDE constraints emphasizing the issue of regularization.