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Finite Elements for the Boussinesq Wave Equations

  • Hans Petter Langtangen
  • Geir Pedersen
Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 34)

Abstract

The propagation and run-up of long surface waves on water (tsunamis, swells etc.) is a problem of great importance in oceanography and marine engineering. The standard simulation models in this field are based on the linear hydrostatic wave equations solved by finite difference methods (Mesinger and Arakawa, 1976; Abott, Petersen and Skovgaard, 1978). In recent years the models have been extended to include also nonlinear and weakly dispersive effects (Ertekin, Webster and Wehausen 1986; Katsis and Akylas 1987; Pedersen 1988a,95; Zelt 1990; Wei, Kirby, Grilli and Subramanya 1995). From a computational point of view the main advantage of such depth integrated long wave models is that the mathematical problem is two-dimensional, which enables simulation in domains of much larger extents than with techniques based on more general wave equations

Keywords

Surface Elevation Boussinesq Equation Adaptive Grid Krylov Subspace Method Finite Difference Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Hans Petter Langtangen
    • 1
  • Geir Pedersen
    • 1
  1. 1.Mechanics Division, Department of MathematicsUniversity of OsloNorway

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