Author(s): B. Carrion; R. Cienfuegos
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Keywords: Wave propagation; Boussinesq equations; Saint Venant equations; Finite volumes schemes; Characteristic trajectories
Abstract: Boussinesq-type equations (BTE) have become the favourites for modelling waves in the coastal zone, due to their large range of application and recent improvements on breaking and nonlinear effects representation. Nevertheless, moving shoreline boundary conditions is still an unclear issue, since BTE become singular at zero depth. From a mathematical standpoint, Saint-Venant equations (SVE) should be employed near the shoreline, where dispersion is negligible. Validated resolution schemes for SVE reproduce the propagation of breaking waves and the dry-wet interface behaviour. Since BTE and SVE are best suited for different zones, we have developed a hybrid finite-volume approach, modelling wave propagation from deep water to the surf zone with BTE and the swash zone with SVE. We present a simple method to communicate both schemes using a quasi-hyperbolic decomposition of BTE and solving a Riemann-type problem locally. The model is tested against solitary and regular wave measurements.
Year: 2011