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

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

Listed:
  • A. Kurganov

    (Tulane University, Mathematics Department)

  • G. Petrova

    (Texas A&M University College Station, Department of Mathematics)

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.

Suggested Citation

  • A. Kurganov & G. Petrova, 2008. "A Central-Upwind Scheme for Nonlinear Water Waves Generated by Submarine Landslides," Springer Books, in: Sylvie Benzoni-Gavage & Denis Serre (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 635-642, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-75712-2_63
    DOI: 10.1007/978-3-540-75712-2_63
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