Scale-resolving turbulent channel flow simulations using a dynamic cumulant lattice Boltzmann method

This paper reports the assessment of a modified cumulant lattice Boltzmann method in turbulent channel flows. The suggested approach is of interest for its resolution-spanning capabilities, which are scrutinized for grid resolutions between 4 and 430 wall units. With the emphasis on a recently published parameterized cumulant collision operator, we suggest a resolution-sensitive regularization supplemented by a dynamic subgrid-scale model based upon third-order cumulant expressions, which seamlessly vanishes for direct numerical simulations. The strategy is optionally supplemented by a wall function approach to adjust the wall treatment. The analysis involves the mean flow field, resolved and modeled second moments, two-point correlations, and spectral data and correlation lengths obtained for four friction Reynolds numbers (180, 550, 2000, and 5200). Results display a resolution-independent capability to simulate the attached turbulent shear flow.