A two-dimensional numerical wave flume based on SA-MPLS method

A spatially adaptive (SA) two-dimensional (2-D) numerical wave flume is presented based on the quadtree mesh system, in which a new multiple particle level set (MPLS) method is proposed to solve the problem of interface tracking, in which common intersection may be traversed by multiple interfaces. By using the adaptive mesh technique and the MPLS method, mesh resolution is updated automatically with time according to flow characteristics in the modeling process with higher resolution around the free surface and the solid boundary and lower resolution in less important area. The model has good performance in saving computer memory and CPU time and is validated by computational examples of small amplitude wave, second-order Stokes wave and cnoidal wave. Computational results also indicate that standing wave and wave overtopping are also reasonably simulated by the model.