Simulation de la propagation des vagues à l’aide d’un modèle de type Boussinesq étendu
Keywords:
Boussinesq-like model, frequency behaviour, dispersion equation, open boundary, weakly reflecting boundary, active absorbing boundaryAbstract
A new type of extended Boussinesq model has been developed by decomposing each horizontal component of velocity on a basis of functions. The aim of this paper is firstly to present the theoretical bases of this finite elements model and to study his frequency behaviour. Thanks to a good approximation of the dispersion equation, this model simulates the deformation of waves over an asymmetric bar with accuracy. The adaptation of the weakly reflecting boundary or radiation conditions of Sommerfeld to this kind of model is then presented with their limits for a signal composed of several harmonics. Reflection errors coming from an active absorbing boundary are then assessed.
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References
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