Numerical simulation of nonlinear wave propagation on non-uniform current

A numerical model is developed with a new type ofBoussinesq equations with explicit consideration of currents employed as thegoverning equations. In the present numerical model, the seven-pointfinite-difference scheme is used to discretize the spatial derivatives, thefifth-order Runge-Kutta-England scheme is employed to perform the timeintegrations, and the appropriate outflow boundary condition is adopted.Numerical modeling of wave propagation is performed with uniform currentsand depth, and submerged bars with weak or strong currents in a wave flume.The calculation results show that the numerical model can effectivelyreflect the effects of currents on waves.