Inverse modeling for large-eddy simulation

Approximate higher order polynomial inversion of the top-hat filter is developed with which the turbulent stress tensor in large-eddy simulation can be consistently represented using the filtered field. Generalized (mixed) similarity models are proposed which improved the agreement with the kinetic energy transfer to small scales. These similarity models are analyzed for random periodic signals and the ensemble averaged spectra of the turbulent stress tensor and the corresponding models are compared.