Numerical Research for the Film Surface Wave with the Different Flow Case

Abstract

The effects of different flow case, including resonant case, 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 is very different among the three flow cases.