Multi-Phase Modeling for Water Waves over Submerged Structures Using WENO and Level Set Method

Abstract

A multiphase model for water waves was developed consisting of the fifth order space accurate WENO (weighted essen-tially non-oscillatory) method for advection terms and a level set method for capturing the gas-liquid interface. The model was applied to a solitary wave propagation over a rectangular structure, 2nd-order Stokes waves over a trapezoidal struc-ture, and a solitary wave over a semicircular structure. Through comparisons with existing experiments, the model was found to be capable of reproducing the experimental results with relatively coarse grids and without an explicit turbulence model because of the adoptation of high-order and high resolution scheme with the concept of Implicit LES.