A Central-Upwind Scheme for Nonlinear Water Waves Generated by Submarine Landslides

A. Kurganov () and G. Petrova ()
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A. Kurganov: Tulane University, Mathematics Department
G. Petrova: Texas A&M University College Station, Department of Mathematics

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 635-642 from Springer

Abstract: We study a simple one-dimensional (1-D) toy model for landslides-generated nonlinear water waves. The landslide is modeled as a rigid bump translating down the side of the bottom while the water motion is modeled by the Saint-Venant system of shallow water equations. The resulting system is numerically solved using a well-balanced positivity preserving central-upwind scheme. The obtained numerical results are in good agreement with both the two-dimensional (2-D) incompressible flow numerical simulations and the experimental data.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-75712-2_63

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DOI: 10.1007/978-3-540-75712-2_63

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