  Recent experimental and computational studies indicate that near wall
turbulent flows can be characterized by universal small scale autonomous
dynamics that are modulated by large scale structures. We formulate numerical
simulations of near wall turbulence in a small domain localized to the
boundary, whose size scales in viscous units. To mimic the environment in which
the near wall turbulence evolves, our formulation accounts for the flux of mean
momentum through the upper boundary of the domain. Comparisons of the model's
two dimensional energy spectra and low order single-point statistics with the
corresponding quantities computed from zero and mild favorable pressure
gradient direct numerical simulations indicate it successfully captures the
dynamics of the small scale near wall turbulence.
