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.
Funding source: NSF
Award Identifier / Grant number: DMS-1115718, DMS-1216974
Funding source: ONR
Award Identifier / Grant number: N00014-12-1-0833
Funding source: DFG
Award Identifier / Grant number: #INST 247/609-1
© 2014 by Walter de Gruyter Berlin/Boston
