Abstract: The shallow water moment equations (SWME) are an extension of the well-known shallow water equations (SWE). For the SWE the horizontal velocity is averaged over the water depth, which results in easily solvable hyperbolic PDEs. However, this usually leads to a loss of information. By adding more degrees of freedom and allowing deviations from the constant horizontal velocity this loss is adressed and we can obtain a system of equations called the SWME. The SWME are only slightly more complex but show better results in simulations compared to the SWE. An important disadvantage of the SWME is that by this extension the hyperbolicity of the equations is lost.

In this talk an approach to modify the SWME is presented, that secures its hyperbolicity and shows similarly good results in simulations.