Author(s): Jiajia Pan; Hung Tao Shen
Linked Author(s): Hung Tao Shen
Keywords: No Keywords
Abstract: A two-dimensional wave model coupled with ice dynamics is developed to evaluate the ice effects on shallow water wave propagation on a beach and in a channel. The nonlinear Boussinesq equations with ice effect are derived and solved by the Godunov-type finite volume method with third-order Runge-Kutta method for time integration. The shock capturing method enables the model to simulate complex flows over irregular topography. The model reaches fourth-order accuracy in space and third-order accuracy in time. The ice dynamic module utilizes a Lagrangian discrete parcel method based on smoothed particle hydrodynamics. The model is validated with analytical solutions and laboratory experiment, and is applied to tsunami wave propagation on a beach with surface ice, ice depositions on the beach, and ice jams produced by propagation of tsunami wave into a channel. The simulated results demonstrate the interactions between tsunami waves and surface ice, including the maximum run up, ice movement along the beach, and ice jamming in a channel.