Speaker
Description
Flooding is a global phenomenon that causes casualties and property loss on every inhabited continent. In this study, we consider a hydrodynamic model that describes the phenomenon of flood inundation in one-dimensional (1D) spatial representation of the floodplain flow. We derive the number and type of well-posed characteristic boundary conditions that describe the flood waves in a river catchment area. With these establishments, we consider energy estimate analysis for the well-posedness of the flood inundation model. The equations are discretized using high-order accurate finite-difference methods that satisfy a Summation-by-Parts (SBP) property. Penalty terms known as the Simultaneous Approximation Term (SAT) technique are used to impose the characteristic boundary conditions. This lead to energy stable high-order finite difference scheme for the flood inundation model.
