Coupling between Shallow Water Equation and k-ω Model for Simulating Solitary Wave Run-Up

Abstract

Solitary wave is considered to resemble a tsunami wave. Thus solitary wave study is very important for coastal area. The shallow water equation (SWE) model is commonly used in tsunami modeling. The Manning method is generally used to assess the bed stress term. Nevertheless, boundary layer approach in assessing the bed stress would provide a more accurate prediction. In this study, a new method for solitary wave run up modeling has been developed by simultaneous coupling between SWE and k-ω model. Bed stress in the SWE is assessed directly from the boundary layer equation using k-ω model. The new method was used to simulate solitary wave run up (Synolakis, 1987). Water surface and run up height were compared. Further analysis to the momentum balance was conducted.