Kurganov, Alexander; Miller, Jason Central-upwind scheme for Savage-Hutter type model of submarine landslides and generated tsunami waves. (English) Zbl 1302.76115 Comput. Methods Appl. Math. 14, No. 2, 177-201 (2014). Summary: 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. Cited in 9 Documents MSC: 76M12 Finite volume methods applied to problems in fluid mechanics 65M08 Finite volume methods for initial value and initial-boundary value problems involving PDEs 86-08 Computational methods for problems pertaining to geophysics 86A05 Hydrology, hydrography, oceanography 35L65 Hyperbolic conservation laws Keywords:hyperbolic systems of balance laws; Godunov-type central-upwind schemes; well-balanced schemes; nonconservative products PDFBibTeX XMLCite \textit{A. Kurganov} and \textit{J. Miller}, Comput. Methods Appl. Math. 14, No. 2, 177--201 (2014; Zbl 1302.76115) Full Text: DOI