Central-Upwind Scheme for Savage–Hutter Type Model of Submarine Landslides and Generated Tsunami Waves

Source abstract

Abstract. We develop a new central-upwind scheme for a one-dimensional Savage–Hutter type model of submarine landslides and generated tsunami waves. Our scheme exactly preserves physically relevant steady-states, preserves positivity of water depth, is insensitive to choice of discretization of nonconservative products, and properly incorporates friction inherent in the model. We apply our scheme to a variety of test problems and the numerical results clearly demonstrate a high accuracy and robustness of the proposed method.