Numerical simulation for the film surface wave under the non-resonant flow case

Abstract

The effects of non-resonant flow case, including supercritical case and subcritical case, on the nonlinear surface waves of film with uneven bottom were analyzed. Derived from the potential flow theory, the fKdV equation on the nonlinear surface wave was obtained by the little parameter perturbation technique. The simulation was made by pseudo-spectral method, and the waterfall plot of the surface wave was illustrated with Matlab program. The flow, incompressible and inviscid, of which the surface tension and uneven boundary is considered. The results comprehensive surface waves located on the film when the flow case is non-resonant one is different from the resonant case.