Evaluating the implementation of shallow water equations within numerical models focusing the propagation of dambreak waves

摘要

Specifically flow conditions during the initial stage of a dambreak wave differ from shallow water equations (SWE), which are usually applied as the basic physical equations in numerical simulations on dambreak waves. To quantify the deviation of shallow water equations from the actual dambreak wave's propagation, experiments are conducted using a High-Speed-Measuring-System providing frequencies up to 4500 frames/sec. In particular front positions and front velocities are observed from the digital recordings. Since it has been shown that varying numerical methods can cause different computational results, numerical test series have also been carried out considering a finite element and a finite volume approach as well as different resolutions in time and space. Comparison of numerical and experimental results, in particular front velocities, underline that shallow water equations have to be adapted towards a more accurate physical approach.