Central-Upwind Scheme for a Non-hydrostatic Saint-Venant System
نویسندگان
چکیده
We develop a second-order central-upwind scheme for the non-hydrostatic version of the Saint-Venant system recently proposed in [M.-O. Bristeau and J. Sainte-Marie, Discrete Contin. Dyn. Syst. Ser. B, 10 (2008), pp. 733–759]. The designed scheme is both well-balanced (capable of exactly preserving the “lake-at-rest” steady state) and positivity preserving. We then use the central-upwind scheme to study ability of the non-hydrostatic Saint-Venant system to model long-time propagation and on-shore arrival of the tsunami-type waves. We discover that for a certain range of the dispersive coefficients, both the shape and amplitude of the waves are preserved even when the computational grid is relatively coarse. We also demonstrate the importance of the dispersive terms in the description of on-shore arrival.
منابع مشابه
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