| Title: | A SIMPLE AND EFFICIENT WELL-BALANCED MODEL FOR 2DH BORE PROPAGATION AND RUN-UP OVER A SLOPING BEACH |
| DOI No: | 10.1142/9789812709554_0085 |
| Source: | COASTAL ENGINEERING 2006 (pp 998-1010)
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| Author(s): | Fabien Marche
Mathématiques Appliquées de Bordeaux, Université Bordeaux 1, 351 cours de la libération, 33405 Talence, France
Philippe Bonneton
Département Géologie Océanographie, Université Bordeaux 1, Avenue des Lucioles, 33405 Talence, France
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| Abstract: | We consider numerical solutions of the 2DH Non-Linear Shallow Water equations with a bed slope source term. To accurately describe the evolution of the shoreline over a strongly varying topography, we investigate a new model, called SU RF_W B. It relies on a reconstruction method for the treatment of the bed-slope and can handle strong variations of topography. The use of the recent VFRoe-ncv Riemann solver leads to a robust treatment of wetting and drying phenomena, which preserves the water depth positivity. An adapted "second order" reconstruction generates accurate bore-capturing abilities. This model is validated against analytical solutions involving a time-dependent moving shoreline and a study of mean-currents over a ridge and runnel system is investigated. This model should have an impact in time-varying numerical simulations in the surf zone. |
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