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
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© 1996 Kluwer Academic Publishers
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Langtangen, H.P., Pedersen, G. (1996). Finite Elements for the Boussinesq Wave Equations. In: Grue, J., Gjevik, B., Weber, J.E. (eds) Waves and Nonlinear Processes in Hydrodynamics. Fluid Mechanics and Its Applications, vol 34. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0253-4_10
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DOI: https://doi.org/10.1007/978-94-009-0253-4_10
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