Some Numerical Solutions for Turbulent Boundary-Layer Flow above Fixed, Rough, Wavy Surfaces

Flow in a deep turbulent boundary-layer above a rough, rigid, wavy surface is considered. Closure is made via mixing-length hypotheses and at the level of the turbulent energy equation and the resulting equations are solved numerically using finite difference approximations. Results are presented for a typical case representative of flow above gravel waves on the bed of a tidal channel and the effect of changes in wave amplitude, shape and surface roughness are considered. Comparisons are made with recent experimental and theoretical studies. In some computations allowance is made for the effect of streamline curvature on the turbulence structure and the importance of such effects for these flows is assessed.