Waves generated by moving pressure disturbances in rectangular and trapezoidal channels

In this paper, the existing fully nonlinear and weakly dispersive depth-integrated wave equations are modified to include the effects of moving free surface pressure. We focus our investigation on waves generated by a moving free surface pressure distribution in rectangular and trapezoidal channels. For the rectangular channels, the numerical results from the present model are compared with those obtained by the forced KdV equations, Green-Naghdi (GN) equations and the Boundary Integral Equation (BIEM) formulation based on the potential flow theory. Through these comparisons, the limitation for each approach is indicated. The present model is then employed as a tool to study the waves generated in a trapezoidal channel. A moving boundary condition is implemented to simulate the moving shoreline. Numerical experiments are performed for different channel geometry and Froude numbers.