An application of parameter sensitivity analysis for shallow water flow around a pier

Abstract

This work deals with the numerical simulation of shallow water flows in the context of practical applications. The shallow water equations including non-constant bottom topography and bottom friction are discretized in space by the DG scheme while for time integration an implicit unconditionally positivity preserving Runge-Kutta type scheme has been developed. With respect to applications, the focus of this work is on the interpretation of numerical results in the situation of uncertain input data, e.g. experimentally determined data. In this context, a global sensitivity analysis based on an ANOVA decomposition yields information on the impact of given input parameters on the variance of the numerical solution with respect to model parameters as well as initial and boundary conditions. The application of this method is studied for shallow water flow around a pier with uncertain input data of water height, discharge and Manning coefficient in the friction term.