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Boussinesq systems in two space dimensions over a variable bottom for the generation and propagation of tsunami waves

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  • Mitsotakis, D.E.

Abstract

Considered here are Boussinesq systems of equations of surface water wave theory over a variable bottom. A simplified such Boussinesq system is derived and solved numerically by the standard Galerkin-finite element method. We study by numerical means the generation of tsunami waves due to bottom deformation and we compare the results with analytical solutions of the linearized Euler equations. Moreover, we study tsunami wave propagation in the case of the Java 2006 event, comparing the results of the Boussinesq model with those produced by the finite-difference code MOST, that solves the shallow water wave equations.

Suggested Citation

  • Mitsotakis, D.E., 2009. "Boussinesq systems in two space dimensions over a variable bottom for the generation and propagation of tsunami waves," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(4), pages 860-873.
  • Handle: RePEc:eee:matcom:v:80:y:2009:i:4:p:860-873
    DOI: 10.1016/j.matcom.2009.08.029
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    References listed on IDEAS

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    1. Chen, M., 2003. "Equations for bi-directional waves over an uneven bottom," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 62(1), pages 3-9.
    2. Dutykh, Denys & Dias, Frédéric, 2009. "Tsunami generation by dynamic displacement of sea bed due to dip-slip faulting," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(4), pages 837-848.
    3. M. Guesmia & Ph. Heinrich & C. Mariotti, 1998. "Numerical Simulation of the 1969 Portuguese Tsunami by a Finite Element Method," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 17(1), pages 31-46, January.
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