Interaction of dispersive water waves with weakly sheared currents of arbitrary profile
article A set of depth-integrated equations describing combined wave-current flows is derived and validated. To account for the effect of turbulence induced by interactions between waves and currents with arbitrary horizon- tal vorticity,newadditional stress terms are introduced. These stressesare functionsofa parameterbthatrelates the relative importance of wave radiation stress and bottom friction stress to the wave-current interaction. To solve the equations, a fourth-order MUSCL-TVD scheme with an approximate Riemann solver is adopted. As a first-ordercheck of the model,theDopplershifteffect andwave dispersionoverlinearlyshearedcurrents are an- alytically shown to be retained appropriately in the equation set. The model results are then validated through comparisons with three experimental data sets. First, based on the experiments of Kemp and Simons (1982, 1983),a reasonable functionalformofbisestimated.Second,simulationsexamining thepropagation of a weakly