Numerical approximation of dispersive shallow flows on spherical coordinates

Abstract

This work aims to develop and implement a numerical model, including dispersion suitable for tsunami simulations. A latitude-longitude coordinate formulation to account for the effects of curvature is presented. A relaxation procedure is then applied to obtain a system of balance laws amenable to be discretized with explicit and efficient numerical methods. Here we follow [5] to develop an efficient finite-volume numerical method. The resulting numerical model has been applied to an experimental test case, which shows the efficiency and accuracy of the method.