The study of phenomena related to shallow water like tsunamis, breaking of dam, etc. has garnered immense attention in recent years due to the life and property costs it involves. The bottom topography over which wave propagates has an impact on its growth and dissipation. However, the measurement of bottom topography is prone to errors and hence we need a way to uncertainty quantification in the bottom topography. This thesis aims to quantify the uncertainty in the bottom topography by employing Monte Carlo method of random sampling. We approximate the bathymetry with the help of linear basis functions. The partial differential equations for the shallow water phenomena are solved with the help of Discontinuous Galerkin method. The built-in ADER-DG solver of ExaHyPE Engine is used to observe the growth and dissipation of wave at various time intervals.     «

The study of phenomena related to shallow water like tsunamis, breaking of dam, etc. has garnered immense attention in recent years due to the life and property costs it involves. The bottom topography over which wave propagates has an impact on its growth and dissipation. However, the measurement of bottom topography is prone to errors and hence we need a way to uncertainty quantification in the bottom topography. This thesis aims to quantify the uncertainty in the bottom topography by employin...     »